{"id":115177,"date":"2026-10-11T12:41:05","date_gmt":"2026-10-11T04:41:05","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/115177.html"},"modified":"2026-10-11T12:41:05","modified_gmt":"2026-10-11T04:41:05","slug":"%e6%b7%b7%e6%b2%8c%e6%8b%93%e6%89%91%e5%ad%a6%ef%bc%88hdt%e6%a1%86%e6%9e%b6%e4%b8%8b%e7%9a%84%e7%9b%b8%e5%af%b9%e8%ae%ba%e9%87%8d%e6%9e%84%ef%bc%9a%e5%9f%ba%e4%ba%8e%e5%9b%9b%e5%a4%a7%e5%b9%b6","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/115177.html","title":{"rendered":"\u6df7\u6c8c\u62d3\u6251\u5b66\uff08HDT)\u6846\u67b6\u4e0b\u7684\u76f8\u5bf9\u8bba\u91cd\u6784\uff1a\u57fa\u4e8e\u56db\u5927\u5e76\u5217\u7406\u8bba\u7684\u7edf\u4e00\u8868\u8ff0"},"content":{"rendered":"

\u6458\u8981：\u672c\u6587\u5728\u6df7\u6c8c\u62d3\u6251\u5b66（HDT，Hundun Topology，\u533a\u522b\u4e8e\u897f\u65b9 chaos \u6982\u5ff5）\u6846\u67b6\u4e0b，\u63d0\u51fa\u68af\u5ea6\u771f\u7a7a\u8bba（GVT）\u3001\u80fd\u91cf\u4e00\u5143\u8bba（EMT）\u3001\u65f6\u95f4\u8282\u5f8b\u8bba（TRT）\u3001\u7a7a\u95f4\u5c3a\u5ea6\u8bba（SST）\u56db\u6761\u5e76\u5217\u7406\u8bba，\u5bf9\u7ecf\u5178\u76f8\u5bf9\u8bba\u7684\u7269\u7406\u56fe\u50cf\u4e0e\u9002\u7528\u8fb9\u754c\u8fdb\u884c\u7cfb\u7edf\u6027\u91cd\u6784\u3002\u5168\u6587\u4e0d\u5f15\u5165\u6b63\u53cd\u7269\u8d28\u533a\u5206，\u6240\u6709\u57fa\u672c\u7c92\u5b50\u89c6\u4e3a\u4e0d\u5e26\u7535\u7684\u80fd\u91cf\u81ea\u6301\u6784\u578b\u3002\u6587\u7ae0\u9010\u4e00\u9610\u8ff0\u56db\u8bba\u7684\u6838\u5fc3\u5047\u8bbe\u3001\u57fa\u672c\u65b9\u7a0b\u4e0e\u7269\u7406\u63a8\u8bba，\u4e0e\u7ecf\u5178\u76f8\u5bf9\u8bba\u8fdb\u884c\u5bf9\u7167\u5206\u6790，\u5e76\u660e\u786e\u76f8\u5bf9\u8bba\u5728\u4f55\u79cd\u6761\u4ef6\u4e0b\u9000\u5316\u4e3a\u6709\u6548\u8fd1\u4f3c\u3002
\n\u5173\u952e\u8bcd：\u6df7\u6c8c\u62d3\u6251\u5b66（HDT）；\u68af\u5ea6\u771f\u7a7a；\u80fd\u91cf\u4e00\u5143；\u65f6\u95f4\u8282\u5f8b；\u7a7a\u95f4\u5c3a\u5ea6；\u76f8\u5bf9\u8bba\u8fb9\u754c<\/p>\n

\n

\u4e00\u3001\u5f15\u8a00<\/h3>\n

\u7ecf\u5178\u76f8\u5bf9\u8bba（\u542b\u72ed\u4e49\u4e0e\u5e7f\u4e49）\u4ee5\u65f6\u7a7a\u51e0\u4f55\u4e3a\u6838\u5fc3，\u5728\u5f31\u5f15\u529b\u573a\u3001\u4f4e\u901f\u5ea6\u3001\u5c40\u57df\u5c3a\u5ea6\u8303\u56f4\u5185\u53d6\u5f97\u4e86\u6781\u9ad8\u7684\u5b9e\u9a8c\u9a8c\u8bc1\u7cbe\u5ea6\u3002\u7136\u800c，\u5728\u5f3a\u5f15\u529b\u573a\u3001\u6df1\u7a7a\u4ecb\u8d28\u3001\u65e9\u671f\u5b87\u5b99\u4ee5\u53ca\u6d89\u53ca\u53ef\u53d8\u5149\u901f\u5047\u8bbe\u7684\u573a\u666f\u4e2d，\u76f8\u5bf9\u8bba\u9762\u4e34\u6697\u7269\u8d28\u3001\u6697\u80fd\u91cf\u3001\u5947\u70b9\u7b49\u7406\u8bba\u56f0\u5883\u3002<\/p>\n

\u6df7\u6c8c\u62d3\u6251\u5b66（HDT，Hundun Topology）\u63d0\u51fa：\u76f8\u5bf9\u8bba\u5e76\u975e\u5168\u57df\u666e\u9002\u7684\u7ec8\u6781\u7406\u8bba，\u800c\u662f"\u5f53\u524d\u89c6\u754c\u5185\u3001\u5f53\u524d\u771f\u7a7a\u4ecb\u8d28\u6761\u4ef6\u4e0b\u3001\u5f53\u524d\u89c2\u6d4b\u624b\u6bb5\u6240\u53ca\u5207\u7247"\u4e2d\u7684\u9ad8\u7cbe\u5ea6\u6709\u6548\u7406\u8bba\u3002HDT\u5728\u6b64\u57fa\u7840\u4e0a\u5efa\u7acb\u56db\u6761\u5e76\u5217\u7684\u57fa\u7840\u7406\u8bba\u2014\u2014GVT\u3001EMT\u3001TRT\u3001SST\u2014\u2014\u5206\u522b\u4ece\u771f\u7a7a\u4ecb\u8d28\u3001\u672c\u4f53\u6784\u6210\u3001\u65f6\u95f4\u672c\u8d28\u3001\u7a7a\u95f4\u672c\u8d28\u56db\u4e2a\u7ef4\u5ea6\u91cd\u6784\u7269\u7406\u56fe\u50cf\u3002\u9700\u8981\u7279\u522b\u5f3a\u8c03\u7684\u662f，HDT \u7684"\u6df7\u6c8c"（Hundun）\u4e0e\u897f\u65b9\u8bed\u5883\u4e2d\u7684 chaos \u6709\u672c\u8d28\u533a\u522b：chaos \u6307\u786e\u5b9a\u6027\u7cfb\u7edf\u5bf9\u521d\u503c\u7684\u654f\u611f\u4f9d\u8d56\u3001\u4e0d\u53ef\u9884\u6d4b\u7684\u968f\u673a\u6027\u8868\u8c61；\u800c HDT \u7684"\u6df7\u6c8c"\u6307\u5168\u57df\u56e0\u679c\u4e0d\u53ef\u6570\u3001\u53ea\u7ed9\u8d8b\u52bf\u7684\u62d3\u6251\u7ed3\u6784，\u5b83\u4e0d\u9884\u8bbe\u968f\u673a\u6027，\u4e5f\u4e0d\u4f9d\u8d56\u5bf9\u521d\u503c\u7684\u654f\u611f\u653e\u5927，\u800c\u662f\u5f3a\u8c03\u56e0\u679c\u94fe\u6761\u5728\u62d3\u6251\u5c42\u9762\u4e0d\u53ef\u7a77\u4e3e\u3001\u53ea\u80fd\u4ee5\u8d8b\u52bf\u63cf\u8ff0\u3002\u4e8c\u8005\u5171\u4eab"\u4e0d\u53ef\u7cbe\u786e\u9884\u6d4b"\u7684\u8868\u8c61，\u4f46 HDT \u7684\u4e0d\u53ef\u9884\u6d4b\u6e90\u4e8e\u62d3\u6251\u4e0d\u53ef\u6570，\u800c\u975e\u52a8\u529b\u5b66\u6df7\u6c8c\u3002
\n\u672c\u6587\u5c06\u4e25\u683c\u6309\u7167\u56db\u8bba\u7684\u903b\u8f91\u987a\u5e8f，\u9010\u4e00\u5c55\u5f00\u8bba\u8ff0，\u5e76\u5728\u672b\u8282\u7ed9\u51fa\u4e0e\u7ecf\u5178\u76f8\u5bf9\u8bba\u7684\u7cfb\u7edf\u5bf9\u6bd4\u53ca\u9002\u7528\u8fb9\u754c\u5212\u5206\u3002<\/p>\n

\u8fd9\u56db\u8bba\u5e76\u975e\u5f7c\u6b64\u5b64\u7acb，\u800c\u662f\u6cbf\u7740\u4e00\u6761\u4ece"\u627f\u8f7d\u8005"\u5230"\u88ab\u627f\u8f7d\u8005"\u7684\u903b\u8f91\u94fe\u6761\u5c42\u5c42\u9012\u8fdb：GVT \u9996\u5148\u786e\u7acb\u771f\u7a7a\u4ecb\u8d28\u8fd9\u4e00\u7269\u7406\u627f\u8f7d\u8005\u2014\u2014\u4e00\u5207\u73b0\u8c61（\u5149\u3001\u5f15\u529b\u3001\u65f6\u95f4\u8bfb\u6570\u3001\u5c3a\u5ea6\u53d8\u5316）\u90fd\u53d1\u751f\u5728\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u573a\u4e4b\u4e2d；EMT \u8fdb\u800c\u8ffd\u95ee\u627f\u8f7d\u8005\u5185\u90e8\u7684\u672c\u4f53\u6784\u6210，\u5c06\u7269\u8d28\u3001\u5149\u3001\u771f\u7a7a\u7edf\u4e00\u4e3a\u80fd\u91cf\u7684\u4e0d\u540c\u663e\u76f8；TRT \u4e0e SST \u5219\u5206\u522b\u8003\u5bdf\u8fd9\u4e00\u672c\u4f53\u5728\u65f6\u95f4\u4e0e\u7a7a\u95f4\u4e24\u4e2a\u7ef4\u5ea6\u4e0a\u7684\u8868\u73b0\u2014\u2014\u65f6\u95f4\u6574\u4f53\u6052\u6d41\u3001\u7cfb\u7edf\u8282\u62cd\u5404\u5f02，\u7a7a\u95f4\u672c\u4f53\u4e0d\u52a8\u3001\u7269\u8d28\u5c3a\u5ea6\u4e09\u76f8\u6f14\u5316\u3002\u56db\u8005\u4e4b\u6240\u4ee5\u5e76\u5217\u800c\u975e\u4ece\u5c5e，\u662f\u56e0\u4e3a\u5b83\u4eec\u5404\u81ea\u56de\u7b54\u7684\u662f\u4e92\u4e0d\u8fd8\u539f\u7684\u72ec\u7acb\u95ee\u9898：\u4ecb\u8d28\u662f\u4ec0\u4e48\u3001\u672c\u4f53\u662f\u4ec0\u4e48\u3001\u65f6\u95f4\u5982\u4f55\u6d41\u3001\u7a7a\u95f4\u5982\u4f55\u53d8\u3002\u4efb\u4e00\u8bba\u90fd\u65e0\u6cd5\u7531\u5176\u4f59\u4e09\u8bba\u63a8\u51fa，\u552f\u6709\u56db\u8005\u5e76\u5217，\u624d\u80fd\u62fc\u51fa\u5b8c\u6574\u7684\u7269\u7406\u56fe\u50cf\u3002\u8fd9\u4e00\u5e76\u5217\u7ed3\u6784\u672c\u8eab\u6b63\u662f HDT \u62d3\u6251\u89c2\u7684\u4f53\u73b0：\u56db\u8bba\u5982\u540c\u540c\u4e00\u62d3\u6251\u7a7a\u95f4\u4e2d\u7684\u56db\u4e2a\u4e0d\u53ef\u7ea6\u7b80\u7684\u8fde\u901a\u5206\u652f，\u5404\u81ea\u72ec\u7acb\u53c8\u5171\u540c\u6784\u6210\u6574\u4f53\u3002<\/p>\n

\n

\u4e8c\u3001\u68af\u5ea6\u771f\u7a7a\u8bba（GVT）：\u771f\u7a7a\u4ecb\u8d28\u4e0e\u5149\u901f\u53ef\u53d8<\/h3>\n

2.1 \u6838\u5fc3\u5047\u8bbe<\/h4>\n
  • \n

    \u771f\u7a7a\u5e76\u975e\u7a7a\u65e0\u4e00\u7269，\u800c\u662f\u80fd\u91cf\u5904\u4e8e\u6781\u7a00\u8584\u72b6\u6001\u7684\u8fde\u7eed\u53ef\u6781\u5316\u573a，\u5176\u80fd\u91cf\u5bc6\u5ea6\u8bb0\u4e3a \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4e14 \u03c1v>0\\\\rho_v > 0<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>><\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n

  • \n

    \u5c40\u57df\u5149\u901f\u7531\u771f\u7a7a\u7684\u4ecb\u7535\u5e38\u6570 \u03b5\\\\varepsilon<\/span><\/span>\u03b5<\/span><\/span><\/span><\/span><\/span> \u4e0e\u78c1\u5bfc\u7387 \u03bc\\\\mu<\/span><\/span>\u03bc<\/span><\/span><\/span><\/span><\/span> \u5171\u540c\u51b3\u5b9a：<\/p>\n<\/li>\n

    cloc=1\u03b5\u03bc
    \nc_{\\\\rm loc} = \\\\frac{1}{\\\\sqrt{\\\\varepsilon \\\\mu}}
    \n<\/span><\/span>c<\/span><\/span>loc<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b5<\/span>\u03bc<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u5176\u4e2d \u03b5\\\\varepsilon<\/span><\/span>\u03b5<\/span><\/span><\/span><\/span><\/span> \u4e0e \u03bc\\\\mu<\/span><\/span>\u03bc<\/span><\/span><\/span><\/span><\/span> \u5747\u4e3a \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u51fd\u6570：<\/p>\n

    \u03b5=\u03b50(1+\u03b1\u03c1v)
    \n\\\\varepsilon = \\\\varepsilon_0 (1 + \\\\alpha \\\\rho_v)
    \n<\/span><\/span>\u03b5<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03b5<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b1<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u03bc=\u03bc0(1+\u03b2\u03c1v)
    \n\\\\mu = \\\\mu_0 (1 + \\\\beta \\\\rho_v)
    \n<\/span><\/span>\u03bc<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03bc<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b2<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

    \u03b1\\\\alpha<\/span><\/span>\u03b1<\/span><\/span><\/span><\/span><\/span>\u3001\u03b2\\\\beta<\/span><\/span>\u03b2<\/span><\/span><\/span><\/span><\/span> \u4e3a\u771f\u7a7a\u6781\u5316\u7cfb\u6570，\u03b50\\\\varepsilon_0<\/span><\/span>\u03b5<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u03bc0\\\\mu_0<\/span><\/span>\u03bc<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u6807\u51c6\u771f\u7a7a\u5e38\u6570\u3002<\/p>\n

  • \u7269\u8d28\u7684\u51dd\u805a\u4f1a\u6539\u53d8\u5c40\u57df \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5f62\u6210\u80fd\u91cf\u5bc6\u5ea6\u68af\u5ea6 \u2207\u03c1v\\\\nabla \\\\rho_v<\/span><\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n

    2.2 \u5f15\u529b\u7684\u91cd\u65b0\u5b9a\u4e49<\/h4>\n

    2.2.0 \u6838\u5fc3\u63a8\u8bba：\u5149\u5b66\u73b0\u8c61\u4e0d\u662f\u5b9e\u4f53\u672c\u8eab<\/h4>\n

    \u73b0\u4ee3\u7269\u7406\u5b66\u76f8\u5bf9\u8bba\u6700\u5927\u7684\u8c2c\u8bef，\u5c31\u662f\u628a\u5149\u5b66\u73b0\u8c61\u5f53\u6210\u5b9e\u4f53\u672c\u8eab\u3002\u5149\u901f cc<\/span><\/span>c<\/span><\/span><\/span><\/span><\/span>\u3001\u5149\u4fe1\u53f7\u3001\u5149\u9525\u3001\u5149\u884c\u65f6\u2014\u2014\u8fd9\u4e9b\u672c\u662f\u5149\u5728\u771f\u7a7a\u4ecb\u8d28\u4e2d\u4f20\u64ad\u7684\u89c2\u6d4b\u7ed3\u679c，\u5374\u88ab\u76f8\u5bf9\u8bba\u5f53\u4f5c\u65f6\u7a7a\u672c\u8eab\u7684\u51e0\u4f55\u5c5e\u6027\u6765\u5b9a\u4e49"\u540c\u65f6\u6027"\u201c\u56e0\u679c\u7ed3\u6784\u201d\u201c\u65f6\u7a7a\u5f2f\u66f2\u201d\u3002\u4e3a\u4e86\u628a\u573a\u65b9\u7a0b\u7b97\u4e0b\u53bb，\u76f8\u5bf9\u8bba\u505a\u4e86\u592a\u591a\u4e0d\u5408\u7406\u5047\u8bbe：\u5047\u8bbe\u5149\u901f\u5168\u57df\u6052\u5b9a\u3001\u5047\u8bbe\u771f\u7a7a\u662f\u7a7a\u65e0\u4e00\u7269\u7684\u51e0\u4f55\u80cc\u666f\u3001\u5047\u8bbe\u5149\u4fe1\u53f7\u80fd\u65e0\u5931\u771f\u5730\u6807\u5b9a\u5168\u5c40\u65f6\u95f4\u3002\u8fd9\u4e9b\u5047\u8bbe\u5728\u6570\u5b66\u4e0a\u81ea\u6d3d，\u5374\u5728\u7269\u7406\u4e0a\u628a"\u4ecb\u8d28\u4e2d\u7684\u4f20\u64ad\u73b0\u8c61"\u5077\u6362\u6210\u4e86"\u5b9e\u4f53\u672c\u8eab\u7684\u6027\u8d28"\u3002<\/p>\n

    \u5728 GVT \u4e2d，\u8fd9\u4e00\u8c2c\u8bef\u88ab\u5f7b\u5e95\u7ea0\u6b63：<\/p>\n

      \n
    • \n

      \u5149\u662f\u771f\u7a7a\u4ecb\u8d28\u7684\u6270\u52a8，\u4e0d\u662f\u72ec\u7acb\u4e8e\u4ecb\u8d28\u7684\u5b9e\u4f53\u3002\u5149\u901f cloc=1\/\u03b5\u03bcc_{\\\\rm loc} = 1\/\\\\sqrt{\\\\varepsilon\\\\mu}<\/span><\/span>c<\/span><\/span>loc<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>1\/<\/span><\/span>\u03b5<\/span>\u03bc<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7531\u5c40\u57df\u771f\u7a7a\u7684\u4ecb\u7535\u5e38\u6570\u4e0e\u78c1\u5bfc\u7387\u51b3\u5b9a，\u800c \u03b5\\\\varepsilon<\/span><\/span>\u03b5<\/span><\/span><\/span><\/span><\/span>\u3001\u03bc\\\\mu<\/span><\/span>\u03bc<\/span><\/span><\/span><\/span><\/span> \u53c8\u968f\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d8\u5316\u3002\u5149\u901f\u4e0d\u662f\u666e\u9002\u5e38\u6570，\u800c\u662f\u4ecb\u8d28\u72b6\u6001\u7684\u5c40\u57df\u8bfb\u6570\u3002<\/p>\n<\/li>\n

    • \n

      \u5149\u4fe1\u53f7\u662f"\u9009\u5149\u505a\u6821\u51c6"，\u4e0d\u662f\u7edd\u5bf9\u65f6\u95f4\u7684\u8f7d\u4f53\u3002\u7231\u56e0\u65af\u5766\u7528\u5149\u4fe1\u53f7\u5bf9\u949f，\u672c\u8d28\u662f\u9009\u5b9a\u4e00\u79cd\u4f20\u64ad\u89c4\u5219\u6765\u5b9a\u4e49\u540c\u65f6\u6027；\u4e00\u65e6\u5149\u901f\u968f \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d8\u5316，\u8fd9\u79cd\u540c\u65f6\u6027\u5b9a\u4e49\u5c31\u53ea\u5728\u5f53\u524d\u4ecb\u8d28\u3001\u5f53\u524d\u89c6\u754c\u5185\u6210\u7acb，\u4e0d\u80fd\u5916\u63a8\u4e3a\u5168\u57df\u7edd\u5bf9\u7ed3\u6784\u3002<\/p>\n<\/li>\n

    • \n

      \u65f6\u7a7a\u51e0\u4f55\u662f\u5149\u5b66\u73b0\u8c61\u7684\u6295\u5f71，\u4e0d\u662f\u5b9e\u4f53\u3002\u76f8\u5bf9\u8bba\u628a\u5149\u7ebf\u5f2f\u66f2\u8bfb\u6210"\u65f6\u7a7a\u5f2f\u66f2"，\u628a\u5149\u884c\u65f6\u5dee\u8bfb\u6210"\u65f6\u95f4\u81a8\u80c0"\u2014\u2014\u8fd9\u4e9b\u5728 GVT \u4e2d\u90fd\u662f\u771f\u7a7a\u80fd\u91cf\u68af\u5ea6\u5bf9\u5149\u4f20\u64ad\u8def\u5f84\u7684\u6298\u5c04\u6548\u5e94\u3002\u51e0\u4f55\u662f\u73b0\u8c61\u7684\u8868\u8c61，\u771f\u7a7a\u4ecb\u8d28\u624d\u662f\u627f\u8f7d\u8005\u3002<\/p>\n<\/li>\n<\/ul>\n

      \u56e0\u6b64，GVT \u7684\u7acb\u573a\u662f：\u5148\u6709\u771f\u7a7a\u4ecb\u8d28，\u540e\u6709\u5149；\u5148\u6709\u80fd\u91cf\u68af\u5ea6，\u540e\u6709\u5f15\u529b；\u5148\u6709\u4f20\u64ad\u73b0\u8c61，\u540e\u6709\u51e0\u4f55\u63cf\u8ff0\u3002 \u76f8\u5bf9\u8bba\u628a"\u5149\u7684\u4f20\u64ad\u7ed3\u679c"\u5f53\u6210\u4e86"\u65f6\u7a7a\u7684\u5b9e\u4f53\u5c5e\u6027"，\u8fd9\u662f\u5b83\u9700\u8981\u88ab\u91cd\u6784\u7684\u6839\u6e90\u3002<\/p>\n

      \u5728 GVT \u4e2d，\u5f15\u529b\u4e0d\u662f\u65f6\u7a7a\u5f2f\u66f2\u7684\u51e0\u4f55\u6548\u5e94，\u800c\u662f\u7269\u8d28\u6cbf\u771f\u7a7a\u80fd\u91cf\u68af\u5ea6\u7684\u8fd0\u52a8\u503e\u5411\u3002\u5176\u5b8f\u89c2\u8868\u8fbe\u5f0f\u4e3a：<\/p>\n

      F=\u2212m\u2009\u2207\u2009\u2063(\u03c1v\u03c1v0)
      \n\\\\mathbf{F} = – m\\\\, \\\\nabla\\\\!\\\\left(\\\\frac{\\\\rho_v}{\\\\rho_{v0}}\\\\right)
      \n<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>m<\/span><\/span>\u2207<\/span><\/span><\/span>(<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u5176\u4e2d \u03c1v0\\\\rho_{v0}<\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u5b87\u5b99\u5e73\u5747\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6，mm<\/span><\/span>m<\/span><\/span><\/span><\/span><\/span> \u4e3a\u6d4b\u8bd5\u8d28\u91cf\u3002\u8be5\u5f0f\u8868\u660e：\u7269\u4f53\u6240\u53d7\u5f15\u529b\u6307\u5411\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u964d\u4f4e\u7684\u65b9\u5411\u3002<\/p>\n

      2.2.1 \u62c9\u683c\u6717\u65e5\u5bc6\u5ea6\u4e0e\u53d8\u5206\u539f\u7406<\/h4>\n

      \u4e3a\u5c06\u4e0a\u8ff0\u5b8f\u89c2\u8868\u8fbe\u5f0f\u7eb3\u5165\u7edf\u4e00\u7684\u573a\u8bba\u6846\u67b6，\u6211\u4eec\u4e3a\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u573a \u03c1v(x)\\\\rho_v(\\\\mathbf{x})<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>x<\/span>)<\/span><\/span><\/span><\/span><\/span> \u6784\u9020\u4f5c\u7528\u91cf\u3002\u8bbe\u771f\u7a7a\u573a\u7684\u62c9\u683c\u6717\u65e5\u5bc6\u5ea6\u4e3a：<\/p>\n

      L=12\u2009\u03bav\u2009(\u2207\u03c1v)2\u2212V(\u03c1v)\u2212\u03c1v\u2009\u03c6m
      \n\\\\mathcal{L} = \\\\frac{1}{2}\\\\, \\\\kappa_v\\\\, (\\\\nabla \\\\rho_v)^2 – V(\\\\rho_v) – \\\\rho_v\\\\, \\\\varphi_m
      \n<\/span><\/span>L<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

      \u5404\u9879\u7269\u7406\u542b\u4e49：<\/p>\n

        \n
      • \n

        \u52a8\u80fd\u9879 12\u2009\u03bav\u2009(\u2207\u03c1v)2\\\\frac{1}{2}\\\\, \\\\kappa_v\\\\, (\\\\nabla \\\\rho_v)^2<\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>：\u63cf\u8ff0\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u7a7a\u95f4\u4e0d\u5747\u5300\u6027\u6240\u5bf9\u5e94\u7684"\u68af\u5ea6\u80fd"\u3002\u03bav\\\\kappa_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u771f\u7a7a\u573a\u7684"\u521a\u5ea6"\u7cfb\u6570（\u91cf\u7eb2\u4e3a\u80fd\u91cf\u00b7\u957f\u5ea6\u00b3\/\u5bc6\u5ea6\u00b2），\u5b83\u5ea6\u91cf\u771f\u7a7a\u573a\u62b5\u6297\u68af\u5ea6\u53d8\u5316\u7684"\u5f39\u6027"\u2014\u2014\u03bav\\\\kappa_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u8d8a\u5927，\u5f62\u6210\u540c\u6837\u68af\u5ea6\u6240\u9700\u80fd\u91cf\u8d8a\u9ad8，\u68af\u5ea6\u8d8a\u96be\u7ef4\u6301\u3002\u8fd9\u4e00\u9879\u5728\u7269\u7406\u4e0a\u7c7b\u6bd4\u5f39\u6027\u4ecb\u8d28\u4e2d\u7684\u5e94\u53d8\u80fd\u5bc6\u5ea6，\u662f GVT \u4e2d"\u68af\u5ea6\u5373\u529b"\u7684\u52a8\u529b\u5b66\u6839\u6e90\u3002<\/p>\n<\/li>\n

      • \n

        \u81ea\u76f8\u4e92\u4f5c\u7528\u52bf V(\u03c1v)V(\\\\rho_v)<\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>：\u63cf\u8ff0\u771f\u7a7a\u573a\u81ea\u8eab\u7684\u80fd\u91cf-\u5bc6\u5ea6\u5173\u7cfb，\u51b3\u5b9a \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u504f\u79bb\u5e73\u8861\u503c\u65f6\u7684\u6062\u590d\u8d8b\u52bf\u3002\u5176\u5177\u4f53\u5f62\u5f0f\u5728 2.2.2 \u8282\u4e2d\u4e8e\u5e73\u8861\u6001\u9644\u8fd1\u5c55\u5f00\u4e3a\u4e8c\u6b21\u578b，\u5bf9\u5e94\u771f\u7a7a\u573a\u7684"\u81ea\u6062\u590d\u521a\u5ea6"\u3002<\/p>\n<\/li>\n

      • \n

        \u7269\u8d28\u8026\u5408\u9879 \u2212\u03c1v\u2009\u03c6m-\\\\rho_v\\\\, \\\\varphi_m<\/span><\/span>\u2212<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>：\u63cf\u8ff0\u7269\u8d28\u4e0e\u771f\u7a7a\u573a\u7684\u8026\u5408\u3002\u03c6m\\\\varphi_m<\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u7269\u8d28\u8026\u5408\u52bf（\u7531\u7269\u8d28\u5206\u5e03\u51b3\u5b9a），\u8d1f\u53f7\u4fdd\u8bc1\u7269\u8d28\u51dd\u805a\u5904（\u03c6m\\\\varphi_m<\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d6\u8d1f\u503c）\u503e\u5411\u4e8e\u62ac\u9ad8\u5c40\u57df \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4ece\u800c\u5728\u7269\u8d28\u5468\u56f4\u5f62\u6210\u80fd\u91cf\u5bc6\u5ea6\u68af\u5ea6\u2014\u2014\u8fd9\u6b63\u662f"\u7269\u8d28\u51dd\u805a\u6539\u53d8\u5c40\u57df \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>"\u7684\u573a\u8bba\u8868\u8ff0\u3002<\/p>\n<\/li>\n<\/ul>\n

        \u4f5c\u7528\u91cf\u4e3a：<\/p>\n

        S=\u222bL\u2009d4x
        \nS = \\\\int \\\\mathcal{L}\\\\, d^4x
        \n<\/span><\/span>S<\/span><\/span>=<\/span><\/span><\/span><\/span>\u222b<\/span><\/span>L<\/span><\/span>d<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>x<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5bf9 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d8\u5206，\u4ee4 \u03b4S=0\\\\delta S = 0<\/span><\/span>\u03b4<\/span>S<\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u7531\u6b27\u62c9-\u62c9\u683c\u6717\u65e5\u65b9\u7a0b：<\/p>\n

        \u2202L\u2202\u03c1v\u2212\u2207\u22c5\u2202L\u2202(\u2207\u03c1v)=0
        \n\\\\frac{\\\\partial \\\\mathcal{L}}{\\\\partial \\\\rho_v} – \\\\nabla \\\\cdot \\\\frac{\\\\partial \\\\mathcal{L}}{\\\\partial (\\\\nabla \\\\rho_v)} = 0
        \n<\/span><\/span><\/span><\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>L<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u2207<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>(<\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>L<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u63a8\u5bfc\u8bf4\u660e：\u6b27\u62c9-\u62c9\u683c\u6717\u65e5\u65b9\u7a0b\u8981\u6c42\u4f5c\u7528\u91cf\u5bf9 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u4efb\u610f\u5c0f\u6270\u52a8 \u03b4\u03c1v\\\\delta \\\\rho_v<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e00\u9636\u4e0d\u53d8\u3002\u7b2c\u4e00\u9879 \u2202L\/\u2202\u03c1v\\\\partial \\\\mathcal{L}\/\\\\partial \\\\rho_v<\/span><\/span>\u2202<\/span>L<\/span>\/<\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6765\u81ea L\\\\mathcal{L}<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span> \u5bf9 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u76f4\u63a5\u4f9d\u8d56（\u81ea\u76f8\u4e92\u4f5c\u7528\u52bf\u4e0e\u7269\u8d28\u8026\u5408\u9879），\u7b2c\u4e8c\u9879 \u2207\u22c5\u2202L\/\u2202(\u2207\u03c1v)\\\\nabla \\\\cdot \\\\partial \\\\mathcal{L}\/\\\\partial (\\\\nabla \\\\rho_v)<\/span><\/span>\u2207<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>\u2202<\/span>L<\/span>\/<\/span>\u2202<\/span>(<\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u6765\u81ea L\\\\mathcal{L}<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span> \u5bf9\u68af\u5ea6 \u2207\u03c1v\\\\nabla \\\\rho_v<\/span><\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u4f9d\u8d56（\u52a8\u80fd\u9879），\u5176\u6563\u5ea6\u5f62\u5f0f\u6e90\u4e8e\u5206\u90e8\u79ef\u5206\u65f6\u8fb9\u754c\u9879\u5728\u65e0\u7a77\u8fdc\u5904\u4e3a\u96f6\u7684\u7ea6\u5b9a\u3002<\/p>\n

        \u4ee3\u5165 L\\\\mathcal{L}<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span> \u5f97 GVT \u7684\u573a\u65b9\u7a0b：<\/p>\n

        \u03bav\u2009\u22072\u03c1v\u2212\u2202V\u2202\u03c1v\u2212\u03c6m=0
        \n\\\\kappa_v\\\\, \\\\nabla^2 \\\\rho_v – \\\\frac{\\\\partial V}{\\\\partial \\\\rho_v} – \\\\varphi_m = 0
        \n<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>V<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5373：<\/p>\n

        \u03bav\u2009\u22072\u03c1v=\u2202V\u2202\u03c1v+\u03c6m
        \n\\\\kappa_v\\\\, \\\\nabla^2 \\\\rho_v = \\\\frac{\\\\partial V}{\\\\partial \\\\rho_v} + \\\\varphi_m
        \n<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>V<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u63a8\u5bfc\u8bf4\u660e：\u9010\u9879\u4ee3\u5165\u6b27\u62c9-\u62c9\u683c\u6717\u65e5\u65b9\u7a0b\u2014\u2014\u52a8\u80fd\u9879\u5bf9 \u2207\u03c1v\\\\nabla \\\\rho_v<\/span><\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6c42\u5bfc\u5f97 \u03bav\u2207\u03c1v\\\\kappa_v \\\\nabla \\\\rho_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u518d\u53d6\u6563\u5ea6\u5f97 \u03bav\u22072\u03c1v\\\\kappa_v \\\\nabla^2 \\\\rho_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>；\u81ea\u76f8\u4e92\u4f5c\u7528\u52bf\u5bf9 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6c42\u5bfc\u5f97 \u2202V\/\u2202\u03c1v\\\\partial V\/\\\\partial \\\\rho_v<\/span><\/span>\u2202<\/span>V<\/span>\/<\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>；\u7269\u8d28\u8026\u5408\u9879\u5bf9 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u6c42\u5bfc\u5f97 \u2212\u03c6m-\\\\varphi_m<\/span><\/span>\u2212<\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u6574\u7406\u540e\u5373\u5f97\u4e0a\u8ff0\u573a\u65b9\u7a0b\u3002<\/p>\n

        \u8fb9\u754c\u6761\u4ef6\u7684\u9009\u53d6：\u53d8\u5206\u539f\u7406\u8981\u6c42\u8fb9\u754c\u9879 \u222b\u2202\u03a9\u03bav\u2009\u03b4\u03c1v\u2009(\u2207\u03c1v)\u22c5dS\\\\int_{\\\\partial\\\\Omega} \\\\kappa_v\\\\, \\\\delta \\\\rho_v\\\\, (\\\\nabla \\\\rho_v) \\\\cdot d\\\\mathbf{S}<\/span><\/span>\u222b<\/span><\/span>\u2202<\/span>\u03a9<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>d<\/span>S<\/span><\/span><\/span><\/span><\/span> \u5728\u79ef\u5206\u533a\u57df\u8fb9\u754c \u2202\u03a9\\\\partial\\\\Omega<\/span><\/span>\u2202<\/span>\u03a9<\/span><\/span><\/span><\/span><\/span> \u4e0a\u4e3a\u96f6\u3002\u7269\u7406\u4e0a\u53d6\u4e24\u7c7b\u81ea\u7136\u8fb9\u754c\u6761\u4ef6：<\/p>\n

      • \n

        \u65e0\u7a77\u8fdc\u8fb9\u754c：\u03c1v\u2192\u03c1v0\\\\rho_v \\\\to \\\\rho_{v0}<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（\u5b87\u5b99\u5e73\u5747\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6），\u5373 \u03b4\u03c1v\u21920\\\\delta \\\\rho_v \\\\to 0<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002\u8fd9\u4fdd\u8bc1\u8fdc\u79bb\u7269\u8d28\u5904\u771f\u7a7a\u573a\u56de\u5230\u5747\u5300\u80cc\u666f，\u68af\u5ea6\u6d88\u5931，\u5f15\u529b\u8d8b\u4e8e\u96f6\u2014\u2014\u4e0e\u89c2\u6d4b\u4e00\u81f4\u3002<\/p>\n<\/li>\n

      • \n

        \u6e90\u8868\u9762\u8fb9\u754c：\u5728\u7269\u8d28\u5206\u5e03\u8868\u9762，\u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53ca\u5176\u6cd5\u5411\u5bfc\u6570\u8fde\u7eed，\u4fdd\u8bc1\u573a\u65b9\u7a0b\u5728\u6e90\u5185\u5916\u8854\u63a5\u3002\u5bf9\u7403\u5bf9\u79f0\u6e90，\u8fd9\u7b49\u4ef7\u4e8e\u8981\u6c42 \u03b4\u03c1v\\\\delta \\\\rho_v<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5728 r\u2192\u221er \\\\to \\\\infty<\/span><\/span>r<\/span><\/span>\u2192<\/span><\/span><\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span> \u65f6\u6309 1\/r1\/r<\/span><\/span>1\/<\/span>r<\/span><\/span><\/span><\/span><\/span> \u8870\u51cf（\u89c1 2.2.2 \u8282）\u3002<\/p>\n<\/li>\n

        \u8be5\u5f0f\u8868\u660e：\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u7684\u7a7a\u95f4\u4e0d\u5747\u5300\u6027（\u22072\u03c1v\\\\nabla^2 \\\\rho_v<\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>）\u7531\u81ea\u76f8\u4e92\u4f5c\u7528\u52bf\u4e0e\u7269\u8d28\u8026\u5408\u52bf\u5171\u540c\u9a71\u52a8，\u8fd9\u6b63\u662f"\u7269\u8d28\u51dd\u805a\u6539\u53d8\u5c40\u57df \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u5f62\u6210\u68af\u5ea6"\u7684\u52a8\u529b\u5b66\u6765\u6e90\u3002<\/p>\n

        2.2.2 \u4ece\u573a\u65b9\u7a0b\u5230\u5f15\u529b\u8868\u8fbe\u5f0f<\/h4>\n

        \u8003\u8651\u9759\u6001\u3001\u5f31\u573a\u60c5\u5f62，\u5ffd\u7565 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u65f6\u95f4\u6f14\u5316\u3002\u7269\u8d28\u8026\u5408\u52bf\u53d6\u5c40\u57df\u5f62\u5f0f \u03c6m=\u2212G\u2009m\u2009\u03c1m\\\\varphi_m = – G\\\\, m\\\\, \\\\rho_m<\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>G<\/span><\/span>m<\/span><\/span>\u03c1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>（GG<\/span><\/span>G<\/span><\/span><\/span><\/span><\/span> \u4e3a\u5f15\u529b\u5e38\u6570，\u03c1m\\\\rho_m<\/span><\/span>\u03c1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u7269\u8d28\u5bc6\u5ea6），\u81ea\u76f8\u4e92\u4f5c\u7528\u52bf\u5728\u5e73\u8861\u6001\u9644\u8fd1\u5c55\u5f00：<\/p>\n

        V(\u03c1v)=V(\u03c1v0)+12\u2009\u03bb\u2009(\u03c1v\u2212\u03c1v0)2+\u22ef
        \nV(\\\\rho_v) = V(\\\\rho_{v0}) + \\\\frac{1}{2}\\\\, \\\\lambda\\\\, (\\\\rho_v – \\\\rho_{v0})^2 + \\\\cdots
        \n<\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>+<\/span><\/span><\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03bb<\/span><\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u22ef<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d \u03bb\\\\lambda<\/span><\/span>\u03bb<\/span><\/span><\/span><\/span><\/span> \u4e3a\u771f\u7a7a\u573a\u81ea\u8026\u5408\u5f3a\u5ea6\u3002\u4ee3\u5165\u573a\u65b9\u7a0b\u5e76\u4ee4 \u03b4\u03c1v=\u03c1v\u2212\u03c1v0\\\\delta \\\\rho_v = \\\\rho_v – \\\\rho_{v0}<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5728\u5f31\u68af\u5ea6\u6781\u9650（\u22072\u03b4\u03c1v\u21920\\\\nabla^2 \\\\delta \\\\rho_v \\\\to 0<\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>）\u4e0b：<\/p>\n

        \u03bb\u2009\u03b4\u03c1v\u2248\u2212G\u2009m\u2009\u03c1m
        \n\\\\lambda\\\\, \\\\delta \\\\rho_v \\\\approx – G\\\\, m\\\\, \\\\rho_m
        \n<\/span><\/span>\u03bb<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span><\/span><\/span>\u2212<\/span>G<\/span><\/span>m<\/span><\/span>\u03c1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5373\u5c40\u57df\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u504f\u79bb\u6b63\u6bd4\u4e8e\u7269\u8d28\u5bc6\u5ea6：<\/p>\n

        \u03b4\u03c1v\u2248\u2212G\u2009m\u03bb\u2009\u03c1m
        \n\\\\delta \\\\rho_v \\\\approx – \\\\frac{G\\\\, m}{\\\\lambda}\\\\, \\\\rho_m
        \n<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>\u03bb<\/span><\/span><\/span><\/span><\/span><\/span><\/span>G<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5bf9\u8d28\u91cf\u4e3a MM<\/span><\/span>M<\/span><\/span><\/span><\/span><\/span> \u7684\u7403\u5bf9\u79f0\u6e90，\u5176\u5916\u90e8 \u03c1m=0\\\\rho_m = 0<\/span><\/span>\u03c1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u4f46\u8fb9\u754c\u6761\u4ef6\u8981\u6c42 \u03b4\u03c1v\\\\delta \\\\rho_v<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u968f\u8ddd\u79bb\u8870\u51cf\u3002\u53d6\u8bd5\u63a2\u89e3 \u03b4\u03c1v\u221d1\/r\\\\delta \\\\rho_v \\\\propto 1\/r<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u221d<\/span><\/span><\/span><\/span>1\/<\/span>r<\/span><\/span><\/span><\/span><\/span>，\u4ee3\u5165\u65e0\u6e90\u573a\u65b9\u7a0b \u03bav\u22072\u03b4\u03c1v=\u03bb\u2009\u03b4\u03c1v\\\\kappa_v \\\\nabla^2 \\\\delta \\\\rho_v = \\\\lambda\\\\, \\\\delta \\\\rho_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u03bb<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5728\u8fdc\u573a（r\u2192\u221er \\\\to \\\\infty<\/span><\/span>r<\/span><\/span>\u2192<\/span><\/span><\/span><\/span>\u221e<\/span><\/span><\/span><\/span><\/span>）\u5f97\u5230：<\/p>\n

        \u03b4\u03c1v(r)\u2248\u2212GM4\u03c0\u03bav\u20091r
        \n\\\\delta \\\\rho_v(r) \\\\approx – \\\\frac{G M}{4\\\\pi \\\\kappa_v}\\\\, \\\\frac{1}{r}
        \n<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>r<\/span>)<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>4<\/span>\u03c0<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>GM<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        2.2.3 \u5f31\u68af\u5ea6\u6781\u9650\u4e0b\u9000\u5316\u4e3a\u725b\u987f\u5f15\u529b\u52bf<\/h4>\n

        \u6d4b\u8bd5\u8d28\u91cf mm<\/span><\/span>m<\/span><\/span><\/span><\/span><\/span> \u5728\u771f\u7a7a\u68af\u5ea6\u4e2d\u53d7\u5230\u7684\u529b\u4e3a：<\/p>\n

        F=\u2212m\u2009\u2207\u2009\u2063(\u03c1v\u03c1v0)=\u2212m\u03c1v0\u2009\u2207\u03c1v
        \n\\\\mathbf{F} = – m\\\\, \\\\nabla\\\\!\\\\left(\\\\frac{\\\\rho_v}{\\\\rho_{v0}}\\\\right) = – \\\\frac{m}{\\\\rho_{v0}}\\\\, \\\\nabla \\\\rho_v
        \n<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>m<\/span><\/span>\u2207<\/span><\/span><\/span>(<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5c06 \u03c1v=\u03c1v0+\u03b4\u03c1v\\\\rho_v = \\\\rho_{v0} + \\\\delta \\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4ee3\u5165，\u5e38\u6570\u9879\u68af\u5ea6\u4e3a\u96f6，\u5f97：<\/p>\n

        F=\u2212m\u03c1v0\u2009\u2207(\u03b4\u03c1v)
        \n\\\\mathbf{F} = – \\\\frac{m}{\\\\rho_{v0}}\\\\, \\\\nabla (\\\\delta \\\\rho_v)
        \n<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span>(<\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u4ee3\u5165 \u03b4\u03c1v(r)=\u2212GM4\u03c0\u03bav\u20091r\\\\delta \\\\rho_v(r) = – \\\\dfrac{G M}{4\\\\pi \\\\kappa_v}\\\\, \\\\dfrac{1}{r}<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>r<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>4<\/span>\u03c0<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>GM<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5e76\u5229\u7528 \u2207(1\/r)=\u2212r^\/r2\\\\nabla(1\/r) = – \\\\hat{\\\\mathbf{r}}\/r^2<\/span><\/span>\u2207<\/span>(<\/span>1\/<\/span>r<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span>r<\/span><\/span><\/span>^<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>：<\/p>\n

        F=\u2212m\u03c1v0\u22c5GM4\u03c0\u03bav\u2009r^r2
        \n\\\\mathbf{F} = – \\\\frac{m}{\\\\rho_{v0}} \\\\cdot \\\\frac{G M}{4\\\\pi \\\\kappa_v}\\\\, \\\\frac{\\\\hat{\\\\mathbf{r}}}{r^2}
        \n<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u22c5<\/span><\/span><\/span><\/span><\/span><\/span>4<\/span>\u03c0<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>GM<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span>^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5b9a\u4e49\u6709\u6548\u5f15\u529b\u5e38\u6570：<\/p>\n

        Geff=G4\u03c0\u03bav\u2009\u03c1v0
        \nG_{\\\\rm eff} = \\\\frac{G}{4\\\\pi \\\\kappa_v\\\\, \\\\rho_{v0}}
        \n<\/span><\/span>G<\/span><\/span>eff<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>4<\/span>\u03c0<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>G<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5219：<\/p>\n

        F=\u2212Geff\u2009M\u2009mr2\u2009r^
        \n\\\\mathbf{F} = – \\\\frac{G_{\\\\rm eff}\\\\, M\\\\, m}{r^2}\\\\, \\\\hat{\\\\mathbf{r}}
        \n<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>G<\/span><\/span>eff<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>M<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span><\/span><\/span>^<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u8fd9\u6b63\u662f\u725b\u987f\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\u7684\u5f62\u5f0f\u3002\u76f8\u5e94\u5730，\u5f15\u529b\u52bf\u4e3a：<\/p>\n

        \u03a6(r)=\u2212Geff\u2009Mr
        \n\\\\Phi(r) = – \\\\frac{G_{\\\\rm eff}\\\\, M}{r}
        \n<\/span><\/span>\u03a6<\/span>(<\/span>r<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span>r<\/span><\/span><\/span><\/span><\/span><\/span><\/span>G<\/span><\/span>eff<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>M<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u7ed3\u8bba：\u5728\u5f31\u68af\u5ea6\u6781\u9650（\u22072\u03b4\u03c1v\u21920\\\\nabla^2 \\\\delta \\\\rho_v \\\\to 0<\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3001\u03b4\u03c1v\/\u03c1v0\u226a1\\\\delta \\\\rho_v\/\\\\rho_{v0} \\\\ll 1<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u4e0b，GVT \u7684\u573a\u65b9\u7a0b\u4e25\u683c\u9000\u5316\u4e3a\u725b\u987f\u5f15\u529b\u52bf；\u5b8f\u89c2\u8868\u8fbe\u5f0f F=\u2212m\u2009\u2207(\u03c1v\/\u03c1v0)\\\\mathbf{F} = – m\\\\, \\\\nabla(\\\\rho_v\/\\\\rho_{v0})<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>m<\/span><\/span>\u2207<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u4e0e\u725b\u987f\u5f15\u529b F=\u2212GeffMm\u2009r^\/r2\\\\mathbf{F} = – G_{\\\\rm eff} M m\\\\, \\\\hat{\\\\mathbf{r}}\/r^2<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>G<\/span><\/span>eff<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>M<\/span>m<\/span><\/span><\/span>r<\/span><\/span><\/span>^<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u5b8c\u5168\u4e00\u81f4\u3002\u7ecf\u5178\u5f15\u529b\u7531\u6b64\u6210\u4e3a\u771f\u7a7a\u80fd\u91cf\u68af\u5ea6\u5728\u5f31\u573a\u8fd1\u4f3c\u4e0b\u7684\u6709\u6548\u63cf\u8ff0\u3002<\/p>\n

        2.3 \u529b\u7684\u672c\u8d28<\/h4>\n

        \u529b\u4e0d\u662f\u72ec\u7acb\u5b9e\u4f53，\u4e0d\u662f\u4ea4\u6362\u7c92\u5b50，\u4e5f\u4e0d\u662f\u65f6\u7a7a\u66f2\u7387\u672c\u8eab\u3002\u7269\u8d28\u3001\u7c92\u5b50\u5904\u4e8e\u771f\u7a7a\u80fd\u91cf\u68af\u5ea6\u4e2d\u4e0d\u81ea\u9501，\u4fbf\u6cbf\u68af\u5ea6\u65b9\u5411\u8fd0\u52a8\u2014\u2014\u8fd9\u4e2a\u9a71\u52a8\u8fc7\u7a0b\u5b8f\u89c2\u4e0a\u88ab\u8bfb\u6210"\u53d7\u529b"\u3002\u5f15\u529b\u3001\u7535\u78c1\u529b，\u5f52\u6839\u7ed3\u5e95\u662f\u4e0d\u540c\u5c3a\u5ea6\u3001\u4e0d\u540c\u6765\u6e90\u7684\u771f\u7a7a\u80fd\u91cf\u68af\u5ea6\u9a71\u52a8\u3002<\/p>\n

        2.4 \u7269\u7406\u63a8\u8bba<\/h4>\n
      • \n

        \u5149\u901f\u5728\u5f3a\u5f15\u529b\u573a\u6216\u9ad8 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u533a\u57df\u53d1\u751f\u53ef\u89c2\u6d4b\u53d8\u5316，\u7ecf\u5178\u76f8\u5bf9\u8bba\u4e2d"\u5149\u901f\u4e0d\u53d8"\u4ec5\u4e3a \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d8\u5316\u6781\u5c0f\u65f6\u7684\u8fd1\u4f3c\u3002<\/p>\n<\/li>\n

      • \n

        \u661f\u7cfb\u65cb\u8f6c\u66f2\u7ebf\u7684\u5e73\u5766\u6027\u53ef\u7531\u771f\u7a7a\u68af\u5ea6\u5bf9\u5149\u5b50\u8def\u5f84\u7684\u6298\u5c04\u6548\u5e94\u89e3\u91ca，\u65e0\u9700\u5f15\u5165\u6697\u7269\u8d28\u3002<\/p>\n<\/li>\n

      • \n

        \u5f15\u529b\u900f\u955c\u6548\u5e94\u672c\u8d28\u4e0a\u662f\u771f\u7a7a\u68af\u5ea6\u5bfc\u81f4\u7684\u5149\u7ebf\u504f\u6298，\u800c\u975e\u65f6\u7a7a\u66f2\u7387\u3002<\/p>\n<\/li>\n

        \n

        \u4e09\u3001\u80fd\u91cf\u4e00\u5143\u8bba（EMT）：\u672c\u4f53\u552f\u4e00\u4e0e\u8d28\u91cf\u8d77\u6e90<\/h3>\n

        3.1 \u6838\u5fc3\u5047\u8bbe<\/h4>\n
      • \n

        \u5b87\u5b99\u672c\u4f53\u4ec5\u6709\u4e00\u79cd\u5b58\u5728：\u80fd\u91cf EE<\/span><\/span>E<\/span><\/span><\/span><\/span><\/span>\u3002\u7269\u8d28\u3001\u5149\u3001\u771f\u7a7a\u5747\u4e3a\u80fd\u91cf\u7684\u4e0d\u540c\u663e\u76f8\u3002\u4e0d\u533a\u5206\u6b63\u7269\u8d28\u4e0e\u53cd\u7269\u8d28，\u6240\u6709\u57fa\u672c\u7c92\u5b50\u5747\u4e3a\u4e0d\u5e26\u7535\u7684\u80fd\u91cf\u81ea\u6301\u6784\u578b\u3002<\/p>\n<\/li>\n

      • \n

        \u4e0d\u5b58\u5728\u4e25\u683c\u7684"\u8d28\u80fd\u7b49\u4ef7\u8f6c\u6362"，\u53ea\u6709\u80fd\u91cf\u663e\u76f8\u7684\u5207\u6362\u3002\u5207\u6362\u8fc7\u7a0b\u4e0d\u53ef\u9006\u4e14\u5b58\u5728\u8017\u6563：<\/p>\n<\/li>\n

        E\u2248Mselfc2
        \nE \\\\approx M_{\\\\rm self} c^2
        \n<\/span><\/span>E<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d MselfM_{\\\\rm self}<\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u81ea\u6301\u6784\u578b\u6240\u5bf9\u5e94\u7684\u8d28\u91cf，\u7b49\u53f7\u4e3a\u8fd1\u4f3c，\u9690\u542b\u8017\u6563\u9879\u3002<\/p>\n

      • \u7c92\u5b50\u662f\u80fd\u91cf\u7684\u81ea\u6301\u65cb\u8f6c\u6784\u578b\u3002\u81ea\u6301\u6784\u578b\u7ef4\u6301\u5468\u8f6c\u3001\u62b5\u6297\u5916\u754c\u6270\u52a8，\u7531\u6b64\u4ea7\u751f\u60ef\u6027\u4e0e\u8d28\u91cf\u3002\u6240\u6709\u7c92\u5b50\u4e0d\u643a\u5e26\u7535\u8377，\u7535\u78c1\u76f8\u4e92\u4f5c\u7528\u4e3a\u80fd\u91cf\u663e\u76f8\u5207\u6362\u65f6\u7684\u526f\u4ea7\u7269\u800c\u975e\u57fa\u672c\u8377\u3002<\/li>\n

        3.2 \u8d28\u91cf\u4e0e\u60ef\u6027\u7684\u672c\u8d28<\/h4>\n

        \u5728 EMT \u4e2d，\u8d28\u91cf\u4e0d\u662f\u7269\u8d28\u7684\u56fa\u6709\u5c5e\u6027，\u800c\u662f\u80fd\u91cf\u81ea\u6301\u6784\u578b\u7684\u884d\u751f\u91cf：<\/p>\n

        m=Eselfc2
        \nm = \\\\frac{E_{\\\\rm self}}{c^2}
        \n<\/span><\/span>m<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d EselfE_{\\\\rm self}<\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u7ef4\u6301\u81ea\u6301\u6784\u578b\u6240\u9700\u7684\u6700\u4f4e\u80fd\u91cf：<\/p>\n

        Eself=\u222b\u03c1v\u2009\u03c6\u2009dV
        \nE_{\\\\rm self} = \\\\int \\\\rho_v\\\\, \\\\varphi \\\\, dV
        \n<\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u222b<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>d<\/span>V<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u03c6\\\\varphi<\/span><\/span>\u03c6<\/span><\/span><\/span><\/span><\/span> \u4e3a\u81ea\u6301\u52bf\u80fd\u51fd\u6570，\u79ef\u5206\u8986\u76d6\u6784\u578b\u6240\u5728\u533a\u57df\u3002<\/p>\n

        3.3 \u7c92\u5b50\u6846\u67b6\u610f\u5411<\/h4>\n

        \u7c92\u5b50\u4e0d\u662f\u70b9，\u662f\u81ea\u6301\u80fd\u91cf\u73af\/\u6da1，\u5e7f\u5ef6\u6709\u9650；\u8f6c\u901f\u81ea\u6d3d\u53d6\u5206\u7acb\u503c，\u80fd\u7ea7\u5206\u7acb，\u8dc3\u8fc1\u4e3a\u4e24\u6863\u81ea\u6301\u8f6c\u901f\u5dee\u3002\u5168\u540c\u662f\u5206\u8fa8\u7387\u5047\u8c61\u2014\u2014\u5b9e\u9645\u5927\u5c0f\u3001\u73af\u91cf\u3001\u4ecb\u8d28\u73af\u5883\u4e0d\u5b8c\u5168\u540c，\u5f53\u524d\u5206\u4e0d\u51fa\u624d\u53eb\u5168\u540c\u3002\u5929\u4f53\u5927\u5c0f\u5404\u5f02，\u5fae\u89c2\u4e0d\u5148\u9a8c\u5168\u540c\u3002\u5206\u5f62\u540c\u6e90：\u5c0f\u5c3a\u5ea6\u73af\u6d41\u3001\u5927\u5c3a\u5ea6\u81ea\u8f6c\u53ef\u5171\u7528\u4e00\u5957\u81ea\u6301\u8bed\u6cd5\u3002<\/p>\n

        3.4 \u7269\u7406\u63a8\u8bba<\/h4>\n
      • \n

        \u7c92\u5b50\u95f4\u7684"\u6e6e\u706d"\u5b9e\u4e3a\u4e24\u79cd\u81ea\u6301\u6784\u578b\u5171\u540c\u89e3\u4f53\u3001\u80fd\u91cf\u56de\u5f52\u771f\u7a7a\u573a\u7684\u8fc7\u7a0b，\u91ca\u653e\u80fd\u91cf\u7565\u5c0f\u4e8e 2Mselfc22 M_{\\\\rm self} c^2<\/span><\/span>2<\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5dee\u503c\u8017\u6563\u56de\u771f\u7a7a\u573a\u3002\u4e0d\u6d89\u53ca\u6b63\u53cd\u7269\u8d28\u914d\u5bf9\u3002<\/p>\n<\/li>\n

      • \n

        \u7c92\u5b50\u8d28\u91cf\u8c31\u7684\u5dee\u5f02\u6e90\u4e8e\u81ea\u6301\u6784\u578b\u7684\u62d3\u6251\u590d\u6742\u5ea6\u4e0d\u540c，\u800c\u975e\u4efb\u4f55\u8377\u7684\u8026\u5408\u5f3a\u5ea6\u51b3\u5b9a\u3002<\/p>\n<\/li>\n

      • \n

        \u6838\u53cd\u5e94\u4e2d\u7684\u8d28\u91cf\u4e8f\u635f\u90e8\u5206\u8f6c\u5316\u4e3a\u771f\u7a7a\u573a\u6270\u52a8，\u800c\u975e\u5168\u90e8\u4ee5\u8f90\u5c04\u5f62\u5f0f\u91ca\u653e\u3002<\/p>\n<\/li>\n

        \n

        \u56db\u3001\u65f6\u95f4\u8282\u5f8b\u8bba（TRT）：\u5168\u5c40\u6052\u6d41\u4e0e\u7cfb\u7edf\u8282\u62cd<\/h3>\n

        4.1 \u6838\u5fc3\u5047\u8bbe<\/h4>\n
      • \n

        \u65f6\u95f4\u6574\u4f53\u6d41\u901f\u63a5\u8fd1\u6052\u5b9a，\u4e0d\u56e0\u89c2\u6d4b\u8005\u7684\u8fd0\u52a8\u72b6\u6001\u6216\u6240\u5904\u5f15\u529b\u573a\u800c\u6539\u53d8\u3002<\/p>\n<\/li>\n

      • \n

        \u4e0d\u540c\u7269\u7406\u7cfb\u7edf（\u539f\u5b50\u3001\u5929\u4f53\u3001\u7c92\u5b50）\u62e5\u6709\u5404\u81ea\u7684"\u5185\u90e8\u8282\u62cd" TsysT_{\\\\rm sys}<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u8be5\u8282\u62cd\u7531\u7cfb\u7edf\u6240\u5904\u7684\u80fd\u91cf\u5bc6\u5ea6\u73af\u5883\u51b3\u5b9a\u3002<\/p>\n<\/li>\n

      • \n

        \u5f15\u529b\u52bf \u03a6\\\\Phi<\/span><\/span>\u03a6<\/span><\/span><\/span><\/span><\/span> \u8d8a\u6df1（\u7edd\u5bf9\u503c\u8d8a\u5927），\u7cfb\u7edf\u5185\u90e8\u8282\u62cd\u8d8a\u6162：<\/p>\n<\/li>\n

        Tsys=T0(1+\u03a6c2)
        \nT_{\\\\rm sys} = T_0 \\\\left(1 + \\\\frac{\\\\Phi}{c^2}\\\\right)
        \n<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03a6<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d T0T_0<\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u5168\u5c40\u57fa\u51c6\u65f6\u95f4\u95f4\u9694，\u03a6\\\\Phi<\/span><\/span>\u03a6<\/span><\/span><\/span><\/span><\/span> \u4e3a\u5f15\u529b\u52bf（\u53d6\u8d1f\u503c）\u3002<\/p>\n

        4.2 \u949f\u6162\u6548\u5e94\u7684\u91cd\u91ca<\/h4>\n

        \u5728 TRT \u4e2d，GPS \u536b\u661f\u949f\u6162\u3001\u5f15\u529b\u7ea2\u79fb\u4e2d\u7684\u9891\u7387\u504f\u79fb\u7b49\u73b0\u8c61，\u5e76\u975e"\u65f6\u95f4\u672c\u8eab\u88ab\u62c9\u957f"，\u800c\u662f\u536b\u661f\u6240\u5904\u5f15\u529b\u52bf\u8f83\u6d45\u3001\u8fd0\u52a8\u901f\u5ea6\u8f83\u9ad8，\u5bfc\u81f4\u5176\u539f\u5b50\u632f\u52a8\u8282\u62cd\u76f8\u5bf9\u4e8e\u5730\u9762\u53c2\u8003\u7cfb\u53d1\u751f\u504f\u79fb\u3002<\/p>\n

        \u9ad8\u901f\u8fd0\u52a8\u5bfc\u81f4\u7684\u949f\u6162，\u672c\u8d28\u4e0a\u662f\u8fd0\u52a8\u7cfb\u7edf\u7684\u81ea\u6301\u6784\u578b\u5728\u9ad8\u901f\u4e0b\u7ef4\u6301\u6210\u672c\u589e\u5927\u3001\u8282\u62cd\u964d\u4f4e\u3002<\/p>\n

        4.3 \u7269\u7406\u63a8\u8bba<\/h4>\n
      • \n

        \u53cc\u751f\u5b50\u4f6f\u8c2c\u4e0d\u6d89\u53ca"\u65f6\u95f4\u65c5\u884c"，\u4ec5\u662f\u4e24\u4e2a\u7cfb\u7edf\u7ecf\u5386\u4e0d\u540c\u8282\u62cd\u5386\u53f2\u540e\u7684\u7d2f\u79ef\u5dee\u5f02\u3002<\/p>\n<\/li>\n

      • \n

        \u4e0d\u5b58\u5728\u7edd\u5bf9\u7684"\u540c\u65f6\u6027"\u7834\u574f，\u53ea\u6709\u4e0d\u540c\u7cfb\u7edf\u8282\u62cd\u4e0d\u540c\u6b65\u5bfc\u81f4\u7684\u89c2\u6d4b\u8868\u8c61\u3002\u7231\u56e0\u65af\u5766\u5149\u4fe1\u53f7\u5bf9\u949f\u662f"\u9009\u5149\u505a\u6821\u51c6"；\u5149\u82e5\u968f\u771f\u7a7a\u5bc6\u5ea6\u53d8，\u5219\u540c\u65f6\u5b9a\u4e49\u53ea\u5728\u8be5\u4ecb\u8d28\u3001\u8be5\u89c6\u754c\u4e0b\u6210\u7acb\u3002<\/p>\n<\/li>\n

      • \n

        \u5927\u8d28\u91cf\u5929\u4f53\u5468\u8fb9\u573a\u80fd\u5bc6\u3001\u81ea\u6301\u5f3a，\u5185\u90e8\u8fc7\u7a0b\u6162；\u8fdc\u573a\u7a00，\u8282\u62cd\u5feb\u3002\u8bfb\u6570\u5dee\u5f52\u8282\u5f8b，\u4e0d\u5f52"\u65f6\u95f4\u6d41\u901f"\u3002<\/p>\n<\/li>\n

      • \n

        TRT \u8ba4\u4e3a：\u5c3a\u5ea6\u8d8a\u5927.\u8fd0\u52a8\u901f\u5ea6\u8d8a\u6162，\u8868\u73b0\u4e3a\u65f6\u95f4\u8282\u5f8b\u8d8a\u6162<\/p>\n<\/li>\n

        \n

        \u4e94\u3001\u7a7a\u95f4\u5c3a\u5ea6\u8bba（SST）：\u7a7a\u95f4\u4e0d\u52a8\u4e0e\u7269\u8d28\u4e09\u76f8<\/h3>\n

        5.1 \u6838\u5fc3\u5047\u8bbe<\/h4>\n
      • \n

        \u7a7a\u95f4\u672c\u8eab\u4e0d\u81a8\u80c0\u3001\u4e0d\u6536\u7f29，\u5176\u5ea6\u89c4\u5728\u5168\u57df\u8303\u56f4\u5185\u4fdd\u6301\u56fa\u5b9a\u3002<\/p>\n<\/li>\n

      • \n

        \u53ef\u89c2\u6d4b\u7684\u5c3a\u5ea6\u53d8\u5316\u6765\u81ea\u7269\u8d28\u81ea\u8eab\u3002\u7269\u8d28\u5c3a\u5ea6 LL<\/span><\/span>L<\/span><\/span><\/span><\/span><\/span> \u968f\u65f6\u95f4\u6f14\u5316，\u5b58\u5728\u4e09\u79cd\u76f8\u4f4d\u2014\u2014\u81a8\u80c0\u76f8\u3001\u6536\u7f29\u76f8\u3001\u5e73\u8861\u76f8：<\/p>\n<\/li>\n

        L(t)=L0[1+\u03b3sin\u2061(\u03c9t+\u03b8)]
        \nL(t) = L_0 \\\\left[1 + \\\\gamma \\\\sin(\\\\omega t + \\\\theta)\\\\right]
        \n<\/span><\/span>L<\/span>(<\/span>t<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>L<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>1<\/span><\/span>+<\/span><\/span>\u03b3<\/span><\/span>sin<\/span>(<\/span>\u03c9<\/span>t<\/span><\/span>+<\/span><\/span>\u03b8<\/span>)<\/span>]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d \u03b3\\\\gamma<\/span><\/span>\u03b3<\/span><\/span><\/span><\/span><\/span> \u4e3a\u5e45\u5ea6，\u03c9\\\\omega<\/span><\/span>\u03c9<\/span><\/span><\/span><\/span><\/span> \u4e3a\u89d2\u9891\u7387，\u03b8\\\\theta<\/span><\/span>\u03b8<\/span><\/span><\/span><\/span><\/span> \u4e3a\u521d\u76f8\u4f4d\u3002<\/p>\n

      • \u7269\u8d28\u5c3a\u5ea6\u7684\u6f14\u5316\u53d7\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u53cd\u9988\u8c03\u8282，\u6ee1\u8db3：<\/li>\n

        dLdt=\u03ba\u2009(\u03c1v\u2212\u03c1eq)
        \n\\\\frac{dL}{dt} = \\\\kappa\\\\, (\\\\rho_v – \\\\rho_{\\\\rm eq})
        \n<\/span><\/span><\/span><\/span>d<\/span>t<\/span><\/span><\/span><\/span><\/span><\/span><\/span>d<\/span>L<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u03ba<\/span><\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u5176\u4e2d \u03c1eq\\\\rho_{\\\\rm eq}<\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u5e73\u8861\u6001\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6，\u03ba\\\\kappa<\/span><\/span>\u03ba<\/span><\/span><\/span><\/span><\/span> \u4e3a\u8026\u5408\u7cfb\u6570\u3002\u5f53 \u03c1v>\u03c1eq\\\\rho_v > \\\\rho_{\\\\rm eq}<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65f6\u81a8\u80c0，\u53cd\u4e4b\u6536\u7f29，\u4f53\u73b0"\u7269\u6781\u5fc5\u53cd"\u7684\u4e09\u76f8\u5236\u8861\u3002\u81a8\u80c0\u76f8\u4e0e\u6536\u7f29\u76f8\u53ef\u4ee5\u540c\u65f6\u5b58\u5728，\u5206\u5e03\u4e8e\u4e0d\u540c\u533a\u57df\u3002<\/p>\n

        5.2 \u5b87\u5b99\u7ea2\u79fb\u7684\u591a\u5143\u89e3\u91ca<\/h4>\n

        \u5728 SST \u4e2d，\u89c2\u6d4b\u5230\u7684\u5b87\u5b99\u5b66\u7ea2\u79fb\u5e76\u975e\u7a7a\u95f4\u81a8\u80c0\u62c9\u4f38\u5149\u5b50\u6ce2\u957f，\u800c\u662f\u591a\u79cd\u6548\u5e94\u7684\u53e0\u52a0：<\/p>\n

      • \n

        \u771f\u7a7a\u68af\u5ea6\u5bfc\u81f4\u7684\u5149\u9891\u8870\u51cf（GVT \u8d21\u732e）；<\/p>\n<\/li>\n

      • \n

        \u7269\u8d28\u5c3a\u5ea6\u5904\u4e8e\u81a8\u80c0\u76f8\u65f6，\u53d1\u5c04\u6e90\u7684\u7279\u5f81\u6ce2\u957f\u672c\u8eab\u8f83\u5c0f，\u89c2\u6d4b\u65f6\u76f8\u5bf9\u504f\u7ea2；<\/p>\n<\/li>\n

      • \n

        \u5f15\u529b\u52bf\u5dee\u5bfc\u81f4\u7684\u9891\u7387\u504f\u79fb（TRT \u8d21\u732e）；<\/p>\n<\/li>\n

      • \n

        \u63a5\u6536\u7aef\u5c3a\u5ea6\u53d8\u5316\u5bfc\u81f4\u7684\u76f8\u5bf9\u9891\u79fb\u3002<\/p>\n<\/li>\n

        \u84dd\u79fb\u73b0\u8c61\u5bf9\u5e94\u5c40\u90e8\u7269\u8d28\u6536\u7f29\u76f8，\u4e0e SST \u7684\u4e09\u76f8\u5faa\u73af\u9884\u8a00\u4e00\u81f4\u3002<\/p>\n

        5.3 \u7269\u7406\u63a8\u8bba<\/h4>\n
      • \n

        CMB \u7684\u5404\u5411\u5f02\u6027\u53ef\u7531\u7269\u8d28\u5c3a\u5ea6\u4e09\u76f8\u5206\u5e03\u4e0d\u5747\u89e3\u91ca，\u65e0\u9700\u8bc9\u8bf8\u66b4\u6da8\u6a21\u578b\u7684\u521d\u59cb\u6761\u4ef6\u3002<\/p>\n<\/li>\n

      • \n

        \u5b87\u5b99\u5b66\u539f\u7406\u5728 SST \u4e2d\u4fee\u6b63\u4e3a"\u7269\u8d28\u5c3a\u5ea6\u7edf\u8ba1\u5747\u5300"，\u800c\u975e\u7a7a\u95f4\u51e0\u4f55\u5747\u5300\u3002<\/p>\n<\/li>\n

      • \n

        \u4e0d\u9ed8\u8ba4\u5168\u5b87\u5b99\u5747\u5300\u66b4\u80c0，\u4e0d\u9ed8\u8ba4\u5355\u4e00\u54c8\u52c3\u5e38\u6570\u5168\u57df\u6052\u5b9a\u3002<\/p>\n<\/li>\n

      • \n

        SST \u8ba4\u4e3a：\u5c3a\u5728\u53d8，\u7a7a\u95f4\u5e76\u672a\u81a8\u80c0；\u7269\u8d28\u6709\u80c0\u6709\u7f29\u6709\u5e73\u8861，\u7269\u6781\u5fc5\u53cd\u3002<\/p>\n<\/li>\n

        \n

        \u516d\u3001\u56db\u8bba\u4e0e\u7ecf\u5178\u76f8\u5bf9\u8bba\u7684\u7cfb\u7edf\u5bf9\u6bd4<\/h3>\n

        \u4e0b\u8868\u4ece\u6838\u5fc3\u5047\u8bbe\u3001\u57fa\u672c\u65b9\u7a0b\u3001\u7269\u7406\u63a8\u8bba\u3001\u9002\u7528\u8fb9\u754c\u56db\u4e2a\u7ef4\u5ea6，\u5bf9\u56db\u8bba\u8fdb\u884c\u6a2a\u5411\u5bf9\u6bd4：<\/p>\n\n\u7ef4\u5ea6GVT（\u68af\u5ea6\u771f\u7a7a\u8bba）EMT（\u80fd\u91cf\u4e00\u5143\u8bba）TRT（\u65f6\u95f4\u8282\u5f8b\u8bba）SST（\u7a7a\u95f4\u5c3a\u5ea6\u8bba）<\/tr>\n\n\n\n\n\n
        \u6838\u5fc3\u5047\u8bbe<\/td>\n\u771f\u7a7a\u662f\u53ef\u6781\u5316\u7684\u80fd\u91cf\u573a，\u5149\u901f\u968f\u5c40\u57df\u80fd\u91cf\u5bc6\u5ea6\u53d8\u5316<\/td>\n\u5b87\u5b99\u672c\u4f53\u53ea\u6709\u80fd\u91cf，\u7269\u8d28\/\u5149\/\u771f\u7a7a\u7686\u4e3a\u80fd\u91cf\u663e\u76f8<\/td>\n\u65f6\u95f4\u6574\u4f53\u6052\u6d41，\u5404\u7cfb\u7edf\u8282\u62cd\u7531\u80fd\u91cf\u5bc6\u5ea6\u73af\u5883\u51b3\u5b9a<\/td>\n\u7a7a\u95f4\u672c\u4f53\u4e0d\u52a8，\u7269\u8d28\u5c3a\u5ea6\u5b58\u5728\u81a8\u80c0\/\u6536\u7f29\/\u5e73\u8861\u4e09\u76f8<\/td>\n<\/tr>\n
        \u57fa\u672c\u65b9\u7a0b<\/td>\nF=\u2212m\u2009\u2207(\u03c1v\/\u03c1v0)\\\\mathbf{F} = – m\\\\, \\\\nabla(\\\\rho_v\/\\\\rho_{v0})<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>m<\/span><\/span>\u2207<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>，\u573a\u65b9\u7a0b \u03bav\u22072\u03c1v=\u2202V\/\u2202\u03c1v+\u03c6m\\\\kappa_v \\\\nabla^2 \\\\rho_v = \\\\partial V\/\\\\partial \\\\rho_v + \\\\varphi_m<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u2202<\/span>V<\/span>\/<\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\nE\u2248Mselfc2E \\\\approx M_{\\\\rm self} c^2<\/span><\/span>E<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，m=Eself\/c2m = E_{\\\\rm self}\/c^2<\/span><\/span>m<\/span><\/span>=<\/span><\/span><\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\nTsys=T0(1+\u03a6\/c2)T_{\\\\rm sys} = T_0 (1 + \\\\Phi\/c^2)<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03a6\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\nL(t)=L0[1+\u03b3sin\u2061(\u03c9t+\u03b8)]L(t) = L_0[1 + \\\\gamma \\\\sin(\\\\omega t + \\\\theta)]<\/span><\/span>L<\/span>(<\/span>t<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>L<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>[<\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b3<\/span><\/span>sin<\/span>(<\/span>\u03c9<\/span>t<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03b8<\/span>)]<\/span><\/span><\/span><\/span><\/span>，dL\/dt=\u03ba(\u03c1v\u2212\u03c1eq)dL\/dt = \\\\kappa(\\\\rho_v – \\\\rho_{\\\\rm eq})<\/span><\/span>d<\/span>L<\/span>\/<\/span>d<\/span>t<\/span><\/span>=<\/span><\/span><\/span><\/span>\u03ba<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n
        \u7269\u7406\u63a8\u8bba<\/td>\n\u5149\u901f\u5f3a\u573a\u53ef\u53d8，\u5f15\u529b\u4e3a\u771f\u7a7a\u68af\u5ea6\u529b，\u65e0\u9700\u6697\u7269\u8d28<\/td>\n\u6e6e\u706d\u4e3a\u6784\u578b\u89e3\u4f53，\u8d28\u91cf\u8c31\u6e90\u4e8e\u62d3\u6251\u590d\u6742\u5ea6<\/td>\n\u949f\u6162\u4e3a\u8282\u62cd\u504f\u79fb，\u53cc\u751f\u5b50\u4f6f\u8c2c\u4e3a\u8282\u62cd\u7d2f\u79ef\u5dee<\/td>\n\u7ea2\u79fb\u4e3a\u591a\u6548\u5e94\u53e0\u52a0，CMB \u5404\u5411\u5f02\u6027\u6e90\u4e8e\u4e09\u76f8\u5206\u5e03<\/td>\n<\/tr>\n
        \u9002\u7528\u8fb9\u754c<\/td>\n\u5f3a\u5f15\u529b\u573a\u3001\u6df1\u7a7a\u4f4e\u5bc6\u5ea6\u4ecb\u8d28\u3001\u53ef\u53d8\u5149\u901f\u573a\u666f<\/td>\n\u7c92\u5b50\u8d28\u91cf\u8d77\u6e90\u3001\u6838\u53cd\u5e94\u3001\u6e6e\u706d\u8fc7\u7a0b<\/td>\n\u5f15\u529b\u7ea2\u79fb\u3001GPS \u949f\u6162\u3001\u9ad8\u901f\u8fd0\u52a8\u7cfb\u7edf<\/td>\n\u5b87\u5b99\u5b66\u7ea2\u79fb\u3001CMB\u3001\u5927\u5c3a\u5ea6\u7ed3\u6784\u6f14\u5316<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

        \u56db\u8bba\u5728\u56db\u4e2a\u7ef4\u5ea6\u4e0a\u5404\u53f8\u5176\u804c\u3001\u5f7c\u6b64\u54ac\u5408：GVT \u63d0\u4f9b\u627f\u8f7d\u4e00\u5207\u7684\u771f\u7a7a\u4ecb\u8d28\u4e0e\u68af\u5ea6\u529b\u6846\u67b6，EMT \u56de\u7b54\u4ecb\u8d28\u5185\u90e8\u7684\u672c\u4f53\u6784\u6210\u4e0e\u8d28\u91cf\u8d77\u6e90，TRT \u89e3\u91ca\u65f6\u95f4\u8bfb\u6570\u5dee\u5f02\u7684\u8282\u62cd\u672c\u8d28，SST \u5904\u7406\u7a7a\u95f4\u5c3a\u5ea6\u53d8\u5316\u7684\u7269\u8d28\u4e09\u76f8\u673a\u5236\u3002\u5b83\u4eec\u5e76\u975e\u540c\u4e00\u95ee\u9898\u7684\u56db\u79cd\u7b54\u6848，\u800c\u662f\u5206\u522b\u8986\u76d6\u7269\u7406\u56fe\u50cf\u7684\u4e0d\u540c\u4fa7\u9762\u2014\u2014\u4ecb\u8d28\u3001\u672c\u4f53\u3001\u65f6\u95f4\u3001\u7a7a\u95f4\u2014\u2014\u552f\u6709\u56db\u8005\u5e76\u5217\u4e92\u8865，\u624d\u80fd\u62fc\u51fa\u5b8c\u6574\u7684\u5b87\u5b99\u56fe\u666f\u3002<\/p>\n

        \u4e0b\u8868\u4ece\u516d\u4e2a\u5178\u578b\u73b0\u8c61\u51fa\u53d1，\u5bf9\u6bd4\u7ecf\u5178\u76f8\u5bf9\u8bba\u4e0e CT-R \u56db\u8bba\u7684\u89e3\u91ca\u8def\u5f84：<\/p>\n\n\u73b0\u8c61\u7ecf\u5178\u76f8\u5bf9\u8bba\u89e3\u91caGVTEMTTRTSST<\/tr>\n\n\n\n\n\n\n\n
        \u5149\u901f\u4e0d\u53d8<\/td>\n\u516c\u8bbe，\u4e25\u683c\u6052\u5b9a<\/td>\n\u5c40\u57df\u8fd1\u4f3c，\u5f3a\u573a\u53ef\u53d8<\/td>\n\u968f\u663e\u76f8\u5207\u6362\u7565\u53d8<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u5149\u9891\u53d7\u4ecb\u8d28\u68af\u5ea6\u5f71\u54cd<\/td>\n<\/tr>\n
        \u5f15\u529b\u672c\u8d28<\/td>\n\u65f6\u7a7a\u5f2f\u66f2<\/td>\n\u771f\u7a7a\u80fd\u91cf\u68af\u5ea6<\/td>\n\u80fd\u91cf\u6784\u578b\u4ea4\u4e92<\/td>\n\u8282\u62cd\u5dee\u5f02\u95f4\u63a5\u8868\u73b0<\/td>\n\u7a7a\u95f4\u4e0d\u52a8，\u5f15\u529b\u4e3a\u68af\u5ea6\u529b<\/td>\n<\/tr>\n
        \u8d28\u80fd\u5173\u7cfb<\/td>\nE=mc2E = mc^2<\/span><\/span>E<\/span><\/span>=<\/span><\/span><\/span><\/span>m<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4e25\u683c\u7b49\u4ef7<\/td>\n\u6709\u4fee\u6b63<\/td>\nE\u2248Mselfc2E \\\\approx M_{\\\\rm self} c^2<\/span><\/span>E<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u6709\u8017\u6563<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n<\/tr>\n
        \u65f6\u95f4\u81a8\u80c0<\/td>\n\u65f6\u95f4\u6d41\u901f\u53d8\u5316<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u7cfb\u7edf\u8282\u62cd\u53d8\u6162<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n<\/tr>\n
        \u7a7a\u95f4\u81a8\u80c0<\/td>\n\u5ea6\u89c4\u81a8\u80c0<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u7269\u8d28\u5c3a\u5ea6\u53d8\u5316，\u7a7a\u95f4\u4e0d\u52a8<\/td>\n<\/tr>\n
        \u5b87\u5b99\u7ea2\u79fb<\/td>\n\u7a7a\u95f4\u81a8\u80c0\u62c9\u4f38<\/td>\n\u5149\u9891\u68af\u5ea6\u8870\u51cf<\/td>\n\u4e0d\u76f4\u63a5\u6d89\u53ca<\/td>\n\u8282\u62cd\u5dee\u5f02<\/td>\n\u7269\u8d28\u81a8\u80c0\u76f8\u4e3a\u4e3b\u56e0\u4e4b\u4e00<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
        \n

        \u4e03\u3001\u76f8\u5bf9\u8bba\u7684\u9002\u7528\u8fb9\u754c<\/h3>\n

        \u57fa\u4e8e\u4e0a\u8ff0\u5bf9\u6bd4，\u7ecf\u5178\u76f8\u5bf9\u8bba\u7684\u6709\u6548\u8303\u56f4\u53ef\u660e\u786e\u5212\u5b9a\u5982\u4e0b：<\/p>\n

      • \n

        \u4fdd\u7559\u4e3a\u9ad8\u7cbe\u5ea6\u8fd1\u4f3c\u7684\u6761\u4ef6：\u5f31\u5f15\u529b\u573a（\u2223\u03a6\u2223\/c2\u226a1|\\\\Phi|\/c^2 \\\\ll 1<\/span><\/span>\u2223\u03a6\u2223\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u4f4e\u901f（v\/c\u226a1v\/c \\\\ll 1<\/span><\/span>v<\/span>\/<\/span>c<\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u771f\u7a7a\u80fd\u91cf\u5bc6\u5ea6\u53d8\u5316\u6781\u5c0f（\u0394\u03c1v\/\u03c1v0\u226a1\\\\Delta\\\\rho_v\/\\\\rho_{v0} \\\\ll 1<\/span><\/span>\u0394<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u5c40\u57df\u89c2\u6d4b\u5207\u7247\u3002\u5728\u6b64\u8303\u56f4\u5185，\u56db\u8bba\u7684\u4fee\u6b63\u9879\u5747\u53ef\u5ffd\u7565，\u76f8\u5bf9\u8bba\u516c\u5f0f\u76f4\u63a5\u9002\u7528\u3002<\/p>\n<\/li>\n

      • \n

        \u9700\u7528 CT-R \u66ff\u4ee3\u7684\u6761\u4ef6：\u5f3a\u5f15\u529b\u573a（\u9ed1\u6d1e\u89c6\u754c\u9644\u8fd1）\u3001\u6df1\u7a7a\u4f4e\u5bc6\u5ea6\u4ecb\u8d28（\u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u663e\u8457\u504f\u79bb \u03c1v0\\\\rho_{v0}<\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>）\u3001\u65e9\u671f\u5b87\u5b99\u9ad8\u80fd\u72b6\u6001\u3001\u6d89\u53ca\u53ef\u53d8\u5149\u901f\u5047\u8bbe\u7684\u6a21\u578b\u3002\u6b64\u65f6\u9700\u6839\u636e\u5177\u4f53\u573a\u666f\u8c03\u7528 GVT\u3001EMT\u3001TRT\u3001SST \u4e2d\u7684\u4e00\u79cd\u6216\u591a\u79cd\u8fdb\u884c\u8054\u5408\u8ba1\u7b97\u3002<\/p>\n<\/li>\n

      • \n

        \u5de5\u7a0b\u4e0e\u5bfc\u822a\u9886\u57df：GPS\u3001\u6df1\u7a7a\u63a2\u6d4b\u7b49\u73b0\u6709\u6280\u672f\u6240\u53ca\u8303\u56f4\u4ecd\u5728\u76f8\u5bf9\u8bba\u8fd1\u4f3c\u7cbe\u5ea6\u5185，CT-R \u7684\u4fee\u6b63\u9879\u76ee\u524d\u8fdc\u5c0f\u4e8e\u6d4b\u91cf\u8bef\u5dee，\u4f46\u53ef\u4f5c\u4e3a\u672a\u6765\u9ad8\u7cbe\u5ea6\u5b9e\u9a8c\u7684\u68c0\u9a8c\u65b9\u5411\u3002<\/p>\n<\/li>\n

        \n

        \u516b\u3001\u56db\u8bba\u6570\u5b66\u81ea\u6d3d\u6027\u521d\u6b65\u8bba\u8bc1<\/h3>\n

        \u56db\u8bba\u5404\u81ea\u7684\u6838\u5fc3\u65b9\u7a0b\u5728\u91cf\u7eb2\u4e0a\u662f\u5426\u81ea\u6d3d\u3001\u5728\u4f55\u79cd\u6781\u9650\u4e0b\u9000\u5316\u4e3a\u7ecf\u5178\u5f62\u5f0f，\u662f\u5224\u65ad\u5176\u80fd\u5426\u4f5c\u4e3a\u6709\u6548\u7406\u8bba\u7684\u7b2c\u4e00\u6b65\u3002\u672c\u8282\u5bf9 GVT \u573a\u65b9\u7a0b\u3001EMT \u80fd\u91cf\u5b88\u6052\u3001TRT \u8282\u62cd\u65b9\u7a0b\u3001SST \u5c3a\u5ea6\u6f14\u5316\u65b9\u7a0b\u9010\u4e00\u7ed9\u51fa\u91cf\u7eb2\u4e00\u81f4\u6027\u68c0\u9a8c\u4e0e\u6781\u9650\u9000\u5316\u6761\u4ef6\u3002<\/p>\n

        8.1 GVT \u573a\u65b9\u7a0b：\u91cf\u7eb2\u4e00\u81f4\u6027\u4e0e\u5f31\u573a\u9000\u5316<\/h4>\n

        GVT \u7684\u573a\u65b9\u7a0b\u4e3a：<\/p>\n

        \u03bav\u2009\u22072\u03c1v=\u2202V\u2202\u03c1v+\u03c6m
        \n\\\\kappa_v\\\\, \\\\nabla^2 \\\\rho_v = \\\\frac{\\\\partial V}{\\\\partial \\\\rho_v} + \\\\varphi_m
        \n<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2202<\/span>V<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u91cf\u7eb2\u4e00\u81f4\u6027\u68c0\u9a8c：\u8bbe \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a\u80fd\u91cf\u5bc6\u5ea6 [E\/L3][E\/L^3]<\/span><\/span>[<\/span>E<\/span>\/<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>，\u22072\\\\nabla^2<\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [1\/L2][1\/L^2]<\/span><\/span>[<\/span>1\/<\/span>L<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>，\u5219 \u03bav\u22072\u03c1v\\\\kappa_v \\\\nabla^2 \\\\rho_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u91cf\u7eb2\u4e3a [\u03bav]\u22c5[E\/L5][\\\\kappa_v] \\\\cdot [E\/L^5]<\/span><\/span>[<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>[<\/span>E<\/span>\/<\/span>L<\/span><\/span>5<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>\u3002\u4e3a\u4f7f\u65b9\u7a0b\u4e24\u7aef\u91cf\u7eb2\u4e00\u81f4，\u03bav\\\\kappa_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u91cf\u7eb2\u987b\u4e3a [E\u22c5L][E \\\\cdot L]<\/span><\/span>[<\/span>E<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>L<\/span>]<\/span><\/span><\/span><\/span><\/span>（\u80fd\u91cf\u00d7\u957f\u5ea6），\u5373\u771f\u7a7a\u573a\u7684"\u521a\u5ea6"\u7cfb\u6570\u3002\u81ea\u76f8\u4e92\u4f5c\u7528\u52bf V(\u03c1v)V(\\\\rho_v)<\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a\u80fd\u91cf\u5bc6\u5ea6 [E\/L3][E\/L^3]<\/span><\/span>[<\/span>E<\/span>\/<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>，\u5176\u5bf9 \u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7684\u504f\u5bfc \u2202V\/\u2202\u03c1v\\\\partial V\/\\\\partial \\\\rho_v<\/span><\/span>\u2202<\/span>V<\/span>\/<\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [L3][L^3]<\/span><\/span>[<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>（\u65e0\u91cf\u7eb2\u5316\u540e\u4e3a [E\/L3]\u22c5[L3\/E]=1[E\/L^3] \\\\cdot [L^3\/E] = 1<\/span><\/span>[<\/span>E<\/span>\/<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>[<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>E<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>，\u9700\u4e0e \u03bav\u22072\u03c1v\\\\kappa_v \\\\nabla^2 \\\\rho_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e00\u81f4）\u3002\u7269\u8d28\u8026\u5408\u52bf \u03c6m\\\\varphi_m<\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d6 [E][E]<\/span><\/span>[<\/span>E<\/span>]<\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u65f6，\u03c1v\u03c6m\\\\rho_v \\\\varphi_m<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u80fd\u91cf\u5bc6\u5ea6，\u65b9\u7a0b\u53f3\u7aef \u03c6m\\\\varphi_m<\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u9879\u4e0e \u2202V\/\u2202\u03c1v\\\\partial V\/\\\\partial \\\\rho_v<\/span><\/span>\u2202<\/span>V<\/span>\/<\/span>\u2202<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u540c\u91cf\u7eb2\u3002\u7efc\u4e0a，\u5728 \u03bav\\\\kappa_v<\/span><\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d6 [E\u22c5L][E \\\\cdot L]<\/span><\/span>[<\/span>E<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>L<\/span>]<\/span><\/span><\/span><\/span><\/span>\u3001\u03c6m\\\\varphi_m<\/span><\/span>\u03c6<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u53d6 [E][E]<\/span><\/span>[<\/span>E<\/span>]<\/span><\/span><\/span><\/span><\/span> \u7684\u7ea6\u5b9a\u4e0b，\u65b9\u7a0b\u91cf\u7eb2\u81ea\u6d3d\u3002<\/p>\n

        \u5f31\u573a\u6781\u9650\u9000\u5316：\u5728\u5f31\u68af\u5ea6\u6781\u9650（\u22072\u03b4\u03c1v\u21920\\\\nabla^2 \\\\delta \\\\rho_v \\\\to 0<\/span><\/span>\u2207<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3001\u03b4\u03c1v\/\u03c1v0\u226a1\\\\delta \\\\rho_v\/\\\\rho_{v0} \\\\ll 1<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u4e0b，\u81ea\u76f8\u4e92\u4f5c\u7528\u52bf\u5728\u5e73\u8861\u6001\u9644\u8fd1\u5c55\u5f00\u4e3a\u4e8c\u6b21\u578b V(\u03c1v)=V(\u03c1v0)+12\u03bb(\u03c1v\u2212\u03c1v0)2V(\\\\rho_v) = V(\\\\rho_{v0}) + \\\\frac{1}{2}\\\\lambda(\\\\rho_v – \\\\rho_{v0})^2<\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>V<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>+<\/span><\/span><\/span><\/span><\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03bb<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u4ee3\u5165\u573a\u65b9\u7a0b\u5f97 \u03bb\u2009\u03b4\u03c1v\u2248\u2212Gm\u03c1m\\\\lambda\\\\, \\\\delta \\\\rho_v \\\\approx -G m \\\\rho_m<\/span><\/span>\u03bb<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span><\/span><\/span>\u2212<\/span>G<\/span>m<\/span>\u03c1<\/span><\/span>m<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002\u5bf9\u7403\u5bf9\u79f0\u6e90，\u8fdc\u573a\u89e3 \u03b4\u03c1v(r)\u2248\u2212GM\/(4\u03c0\u03bavr)\\\\delta \\\\rho_v(r) \\\\approx -GM\/(4\\\\pi \\\\kappa_v r)<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span>r<\/span>)<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>\u2212<\/span>GM<\/span>\/<\/span>(<\/span>4<\/span>\u03c0<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>r<\/span>)<\/span><\/span><\/span><\/span><\/span>，\u4ee3\u5165\u5b8f\u89c2\u529b\u8868\u8fbe\u5f0f F=\u2212m\u2207(\u03c1v\/\u03c1v0)\\\\mathbf{F} = -m\\\\nabla(\\\\rho_v\/\\\\rho_{v0})<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>m<\/span>\u2207<\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span> \u540e\u4e25\u683c\u9000\u5316\u4e3a\u725b\u987f\u5f15\u529b F=\u2212GeffMm\u2009r^\/r2\\\\mathbf{F} = -G_{\\\\rm eff} M m\\\\, \\\\hat{\\\\mathbf{r}}\/r^2<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>\u2212<\/span>G<\/span><\/span>eff<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>M<\/span>m<\/span><\/span><\/span>r<\/span><\/span><\/span>^<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>r<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5176\u4e2d Geff=G\/(4\u03c0\u03bav\u03c1v0)G_{\\\\rm eff} = G\/(4\\\\pi \\\\kappa_v \\\\rho_{v0})<\/span><\/span>G<\/span><\/span>eff<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>G<\/span>\/<\/span>(<\/span>4<\/span>\u03c0<\/span>\u03ba<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002\u9000\u5316\u6761\u4ef6：\u5f31\u573a（\u03b4\u03c1v\/\u03c1v0\u226a1\\\\delta \\\\rho_v\/\\\\rho_{v0} \\\\ll 1<\/span><\/span>\u03b4<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u4f4e\u901f（v\/c\u226a1v\/c \\\\ll 1<\/span><\/span>v<\/span>\/<\/span>c<\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u5747\u5300\u80cc\u666f（\u2207\u03c1v0=0\\\\nabla \\\\rho_{v0} = 0<\/span><\/span>\u2207<\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>）\u3002<\/p>\n

        8.2 EMT \u80fd\u91cf\u5b88\u6052：\u91cf\u7eb2\u4e00\u81f4\u6027\u4e0e\u4f4e\u901f\u6781\u9650<\/h4>\n

        EMT \u7684\u6838\u5fc3\u5173\u7cfb\u4e3a：<\/p>\n

        E\u2248Mselfc2,m=Eselfc2
        \nE \\\\approx M_{\\\\rm self} c^2, \\\\qquad m = \\\\frac{E_{\\\\rm self}}{c^2}
        \n<\/span><\/span>E<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>,<\/span><\/span><\/span>m<\/span><\/span>=<\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u91cf\u7eb2\u4e00\u81f4\u6027\u68c0\u9a8c：EE<\/span><\/span>E<\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [E][E]<\/span><\/span>[<\/span>E<\/span>]<\/span><\/span><\/span><\/span><\/span>（\u80fd\u91cf），MselfM_{\\\\rm self}<\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [M][M]<\/span><\/span>[<\/span>M<\/span>]<\/span><\/span><\/span><\/span><\/span>（\u8d28\u91cf），c2c^2<\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [L2\/T2][L^2\/T^2]<\/span><\/span>[<\/span>L<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>\u3002Mselfc2M_{\\\\rm self} c^2<\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [M\u22c5L2\/T2]=[E][M \\\\cdot L^2\/T^2] = [E]<\/span><\/span>[<\/span>M<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>L<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span>E<\/span>]<\/span><\/span><\/span><\/span><\/span>，\u4e0e EE<\/span><\/span>E<\/span><\/span><\/span><\/span><\/span> \u4e00\u81f4\u3002\u81ea\u6301\u80fd\u91cf Eself=\u222b\u03c1v\u03c6\u2009dVE_{\\\\rm self} = \\\\int \\\\rho_v \\\\varphi\\\\, dV<\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u222b<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03c6<\/span><\/span>d<\/span>V<\/span><\/span><\/span><\/span><\/span> \u4e2d，\u03c1v\\\\rho_v<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2 [E\/L3][E\/L^3]<\/span><\/span>[<\/span>E<\/span>\/<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>，\u03c6\\\\varphi<\/span><\/span>\u03c6<\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2 [1][1]<\/span><\/span>[<\/span>1<\/span>]<\/span><\/span><\/span><\/span><\/span>（\u65e0\u91cf\u7eb2\u81ea\u6301\u52bf），dVdV<\/span><\/span>d<\/span>V<\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2 [L3][L^3]<\/span><\/span>[<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>，\u79ef\u5206\u91cf\u7eb2\u4e3a [E][E]<\/span><\/span>[<\/span>E<\/span>]<\/span><\/span><\/span><\/span><\/span>，\u4e0e EselfE_{\\\\rm self}<\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e00\u81f4\u3002\u91cf\u7eb2\u81ea\u6d3d\u6210\u7acb\u3002<\/p>\n

        \u4f4e\u901f\u6781\u9650\u9000\u5316：\u5728\u4f4e\u901f（v\/c\u226a1v\/c \\\\ll 1<\/span><\/span>v<\/span>\/<\/span>c<\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u6781\u9650\u4e0b，\u81ea\u6301\u6784\u578b\u7684\u52a8\u80fd\u8fdc\u5c0f\u4e8e\u9759\u80fd，E\u2248Mselfc2E \\\\approx M_{\\\\rm self} c^2<\/span><\/span>E<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u9000\u5316\u4e3a\u7ecf\u5178\u9759\u80fd\u5173\u7cfb\u3002\u6b64\u65f6 m=Eself\/c2m = E_{\\\\rm self}\/c^2<\/span><\/span>m<\/span><\/span>=<\/span><\/span><\/span><\/span>E<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e0e\u725b\u987f\u529b\u5b66\u4e2d\u7684\u60ef\u6027\u8d28\u91cf\u4e00\u81f4，\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b F=ma\\\\mathbf{F} = m\\\\mathbf{a}<\/span><\/span>F<\/span><\/span>=<\/span><\/span><\/span><\/span>m<\/span>a<\/span><\/span><\/span><\/span><\/span> \u5728\u4f4e\u901f\u4e0b\u6210\u7acb\u3002\u9000\u5316\u6761\u4ef6：\u4f4e\u901f（v\/c\u226a1v\/c \\\\ll 1<\/span><\/span>v<\/span>\/<\/span>c<\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u81ea\u6301\u6784\u578b\u7a33\u5b9a（\u8017\u6563\u9879\u53ef\u5ffd\u7565）\u3001\u80fd\u91cf\u663e\u76f8\u5207\u6362\u7f13\u6162\u3002<\/p>\n

        8.3 TRT \u8282\u62cd\u65b9\u7a0b：\u91cf\u7eb2\u4e00\u81f4\u6027\u4e0e\u5f31\u5f15\u529b\u573a\u9000\u5316<\/h4>\n

        TRT \u7684\u8282\u62cd\u65b9\u7a0b\u4e3a：<\/p>\n

        Tsys=T0(1+\u03a6c2)
        \nT_{\\\\rm sys} = T_0 \\\\left(1 + \\\\frac{\\\\Phi}{c^2}\\\\right)
        \n<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>(<\/span><\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u03a6<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u91cf\u7eb2\u4e00\u81f4\u6027\u68c0\u9a8c：TsysT_{\\\\rm sys}<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e0e T0T_0<\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u5747\u4e3a [T][T]<\/span><\/span>[<\/span>T<\/span>]<\/span><\/span><\/span><\/span><\/span>（\u65f6\u95f4）\u3002\u03a6\\\\Phi<\/span><\/span>\u03a6<\/span><\/span><\/span><\/span><\/span> \u4e3a\u5f15\u529b\u52bf，\u91cf\u7eb2 [L2\/T2][L^2\/T^2]<\/span><\/span>[<\/span>L<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>（\u901f\u5ea6\u5e73\u65b9），c2c^2<\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2 [L2\/T2][L^2\/T^2]<\/span><\/span>[<\/span>L<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>T<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>，\u6545 \u03a6\/c2\\\\Phi\/c^2<\/span><\/span>\u03a6\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u65e0\u91cf\u7eb2\u3002\u62ec\u53f7\u5185 1+\u03a6\/c21 + \\\\Phi\/c^2<\/span><\/span>1<\/span><\/span>+<\/span><\/span><\/span><\/span>\u03a6\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u65e0\u91cf\u7eb2\u7eaf\u6570，\u4e58\u4ee5 T0T_0<\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u540e\u91cf\u7eb2\u4e3a [T][T]<\/span><\/span>[<\/span>T<\/span>]<\/span><\/span><\/span><\/span><\/span>，\u4e0e TsysT_{\\\\rm sys}<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e00\u81f4\u3002\u91cf\u7eb2\u81ea\u6d3d\u6210\u7acb\u3002<\/p>\n

        \u5f31\u5f15\u529b\u573a\u9000\u5316：\u5728\u5f31\u5f15\u529b\u573a\u6781\u9650（\u2223\u03a6\u2223\/c2\u226a1|\\\\Phi|\/c^2 \\\\ll 1<\/span><\/span>\u2223\u03a6\u2223\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u4e0b，\u03a6\/c2\u21920\\\\Phi\/c^2 \\\\to 0<\/span><\/span>\u03a6\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，Tsys\u2192T0T_{\\\\rm sys} \\\\to T_0<\/span><\/span>T<\/span><\/span>sys<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>T<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>，\u5373\u7cfb\u7edf\u8282\u62cd\u8d8b\u4e8e\u5168\u5c40\u57fa\u51c6\u65f6\u95f4\u95f4\u9694，\u65f6\u95f4\u8bfb\u6570\u5dee\u5f02\u6d88\u5931\u3002\u8fd9\u4e0e\u7ecf\u5178\u529b\u5b66\u4e2d"\u7edd\u5bf9\u65f6\u95f4"\u7684\u5047\u8bbe\u4e00\u81f4\u2014\u2014\u5728\u5f31\u573a\u3001\u4f4e\u901f\u4e0b，TRT \u9000\u5316\u4e3a\u725b\u987f\u7edd\u5bf9\u65f6\u95f4\u89c2\u3002\u9000\u5316\u6761\u4ef6：\u5f31\u5f15\u529b\u573a（\u2223\u03a6\u2223\/c2\u226a1|\\\\Phi|\/c^2 \\\\ll 1<\/span><\/span>\u2223\u03a6\u2223\/<\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u4f4e\u901f（v\/c\u226a1v\/c \\\\ll 1<\/span><\/span>v<\/span>\/<\/span>c<\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3001\u5747\u5300\u80fd\u91cf\u5bc6\u5ea6\u73af\u5883（\u03c1v\u2248\u03c1v0\\\\rho_v \\\\approx \\\\rho_{v0}<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2248<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>v<\/span>0<\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>）\u3002<\/p>\n

        8.4 SST \u5c3a\u5ea6\u6f14\u5316\u65b9\u7a0b：\u91cf\u7eb2\u4e00\u81f4\u6027\u4e0e\u5747\u5300\u5bc6\u5ea6\u9000\u5316<\/h4>\n

        SST \u7684\u5c3a\u5ea6\u6f14\u5316\u65b9\u7a0b\u4e3a：<\/p>\n

        dLdt=\u03ba\u2009(\u03c1v\u2212\u03c1eq)
        \n\\\\frac{dL}{dt} = \\\\kappa\\\\, (\\\\rho_v – \\\\rho_{\\\\rm eq})
        \n<\/span><\/span><\/span><\/span>d<\/span>t<\/span><\/span><\/span><\/span><\/span><\/span><\/span>d<\/span>L<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u03ba<\/span><\/span>(<\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

        \u91cf\u7eb2\u4e00\u81f4\u6027\u68c0\u9a8c：dL\/dtdL\/dt<\/span><\/span>d<\/span>L<\/span>\/<\/span>d<\/span>t<\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [L\/T][L\/T]<\/span><\/span>[<\/span>L<\/span>\/<\/span>T<\/span>]<\/span><\/span><\/span><\/span><\/span>（\u901f\u5ea6）\u3002\u03c1v\u2212\u03c1eq\\\\rho_v – \\\\rho_{\\\\rm eq}<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u91cf\u7eb2\u4e3a [E\/L3][E\/L^3]<\/span><\/span>[<\/span>E<\/span>\/<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>]<\/span><\/span><\/span><\/span><\/span>（\u80fd\u91cf\u5bc6\u5ea6\u5dee），\u6545\u8026\u5408\u7cfb\u6570 \u03ba\\\\kappa<\/span><\/span>\u03ba<\/span><\/span><\/span><\/span><\/span> \u7684\u91cf\u7eb2\u987b\u4e3a [L\/T]\u22c5[L3\/E]=[L4\/(E\u22c5T)][L\/T] \\\\cdot [L^3\/E] = [L^4\/(E \\\\cdot T)]<\/span><\/span>[<\/span>L<\/span>\/<\/span>T<\/span>]<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>[<\/span>L<\/span><\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>E<\/span>]<\/span><\/span>=<\/span><\/span><\/span><\/span>[<\/span>L<\/span><\/span>4<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\/<\/span>(<\/span>E<\/span><\/span>\u22c5<\/span><\/span><\/span><\/span>T<\/span>)]<\/span><\/span><\/span><\/span><\/span>，\u5373"\u5355\u4f4d\u80fd\u91cf\u5bc6\u5ea6\u5dee\u5bf9\u5e94\u7684\u5c3a\u5ea6\u53d8\u5316\u901f\u7387"\u3002\u5728\u6b64\u7ea6\u5b9a\u4e0b\u65b9\u7a0b\u91cf\u7eb2\u81ea\u6d3d\u3002\u91cf\u7eb2\u81ea\u6d3d\u6210\u7acb\u3002<\/p>\n

        \u5747\u5300\u5bc6\u5ea6\u9000\u5316：\u5728\u5747\u5300\u5bc6\u5ea6\u6781\u9650（\u03c1v\u2192\u03c1eq\\\\rho_v \\\\to \\\\rho_{\\\\rm eq}<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>）\u4e0b，\u03c1v\u2212\u03c1eq\u21920\\\\rho_v – \\\\rho_{\\\\rm eq} \\\\to 0<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，dL\/dt\u21920dL\/dt \\\\to 0<\/span><\/span>d<\/span>L<\/span>\/<\/span>d<\/span>t<\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>，\u7269\u8d28\u5c3a\u5ea6\u4e0d\u518d\u6f14\u5316，L(t)=L0L(t) = L_0<\/span><\/span>L<\/span>(<\/span>t<\/span>)<\/span><\/span>=<\/span><\/span><\/span><\/span>L<\/span><\/span>0<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u4e3a\u5e38\u6570\u3002\u6b64\u65f6\u7a7a\u95f4\u5c3a\u5ea6\u8bba\u9000\u5316\u4e3a\u7ecf\u5178"\u7a7a\u95f4\u4e0d\u52a8\u3001\u5c3a\u5ea6\u4e0d\u53d8"\u7684\u56fe\u50cf，\u4e0e\u725b\u987f\u529b\u5b66\u7684\u7edd\u5bf9\u7a7a\u95f4\u5047\u8bbe\u4e00\u81f4\u3002\u9000\u5316\u6761\u4ef6：\u5747\u5300\u5bc6\u5ea6（\u03c1v=\u03c1eq\\\\rho_v = \\\\rho_{\\\\rm eq}<\/span><\/span>\u03c1<\/span><\/span>v<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span><\/span><\/span>\u03c1<\/span><\/span>eq<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>）\u3001\u5e73\u8861\u76f8（\u03b3\u21920\\\\gamma \\\\to 0<\/span><\/span>\u03b3<\/span><\/span>\u2192<\/span><\/span><\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>）\u3001\u4f4e\u901f（v\/c\u226a1v\/c \\\\ll 1<\/span><\/span>v<\/span>\/<\/span>c<\/span><\/span>\u226a<\/span><\/span><\/span><\/span>1<\/span><\/span><\/span><\/span><\/span>）\u3002<\/p>\n

        8.5 \u5c0f\u7ed3<\/h4>\n

        \u56db\u8bba\u7684\u6838\u5fc3\u65b9\u7a0b\u5728\u5404\u81ea\u7ea6\u5b9a\u7684\u91cf\u7eb2\u4f53\u7cfb\u4e0b\u5747\u81ea\u6d3d，\u4e14\u5728\u5bf9\u5e94\u6781\u9650\u4e0b\u4e25\u683c\u9000\u5316\u4e3a\u7ecf\u5178\u5f62\u5f0f：GVT \u5728\u5f31\u573a\u3001\u4f4e\u901f\u3001\u5747\u5300\u80cc\u666f\u4e0b\u9000\u5316\u4e3a\u725b\u987f\u5f15\u529b；EMT \u5728\u4f4e\u901f\u4e0b\u9000\u5316\u4e3a\u7ecf\u5178\u9759\u80fd\u5173\u7cfb；TRT \u5728\u5f31\u5f15\u529b\u573a\u4e0b\u9000\u5316\u4e3a\u7edd\u5bf9\u65f6\u95f4；SST \u5728\u5747\u5300\u5bc6\u5ea6\u4e0b\u9000\u5316\u4e3a\u5c3a\u5ea6\u4e0d\u53d8\u3002\u8fd9\u4e3a\u56db\u8bba\u4f5c\u4e3a\u76f8\u5bf9\u8bba\u7684\u6709\u6548\u66ff\u4ee3\u6846\u67b6\u63d0\u4f9b\u4e86\u521d\u6b65\u7684\u6570\u5b66\u81ea\u6d3d\u6027\u4f9d\u636e，\u4e5f\u4e3a\u540e\u7eed\u53ef\u89c2\u6d4b\u4fee\u6b63\u9879\u7684\u5b9a\u91cf\u4f30\u7b97\u5960\u5b9a\u4e86\u57fa\u7840\u3002<\/p>\n

        \u672c\u6587\u5728\u6df7\u6c8c\u62d3\u6251\u5b66（HDT）\u6846\u67b6\u4e0b，\u5c06\u68af\u5ea6\u771f\u7a7a\u8bba\u3001\u80fd\u91cf\u4e00\u5143\u8bba\u3001\u65f6\u95f4\u8282\u5f8b\u8bba\u3001\u7a7a\u95f4\u5c3a\u5ea6\u8bba\u4f5c\u4e3a\u56db\u6761\u5e76\u5217\u7684\u57fa\u7840\u7406\u8bba，\u9010\u4e00\u7ed9\u51fa\u4e86\u6838\u5fc3\u5047\u8bbe\u3001\u57fa\u672c\u65b9\u7a0b\u4e0e\u7269\u7406\u63a8\u8bba，\u5e76\u4e0e\u7ecf\u5178\u76f8\u5bf9\u8bba\u8fdb\u884c\u4e86\u7cfb\u7edf\u5bf9\u7167\u3002\u56db\u8bba\u5206\u522b\u4ece\u4ecb\u8d28\u3001\u672c\u4f53\u3001\u65f6\u95f4\u3001\u7a7a\u95f4\u56db\u4e2a\u7ef4\u5ea6\u63d0\u4f9b\u4e86\u66ff\u4ee3\u7269\u7406\u56fe\u50cf，\u5c06\u76f8\u5bf9\u8bba\u4ece"\u5168\u57df\u666e\u9002"\u964d\u683c\u4e3a"\u5c40\u57df\u6709\u6548"\u3002\u7279\u522b\u5730，\u672c\u6587\u4e25\u683c\u53d6\u6d88\u4e86\u6b63\u53cd\u7269\u8d28\u7684\u533a\u5206，\u5c06\u6240\u6709\u57fa\u672c\u7c92\u5b50\u7edf\u4e00\u89c6\u4e3a\u4e0d\u5e26\u7535\u7684\u80fd\u91cf\u81ea\u6301\u6784\u578b\u3002HDT \u7684"\u6df7\u6c8c"（Hundun）\u4e0e\u897f\u65b9 chaos \u6982\u5ff5\u7684\u6839\u672c\u533a\u522b\u5728\u4e8e：chaos \u662f\u52a8\u529b\u5b66\u610f\u4e49\u4e0a\u7684\u521d\u503c\u654f\u611f\u4e0e\u968f\u673a\u6027\u8868\u8c61，\u800c HDT \u662f\u62d3\u6251\u610f\u4e49\u4e0a\u7684\u56e0\u679c\u4e0d\u53ef\u6570\u3001\u53ea\u7ed9\u8d8b\u52bf\u2014\u2014\u8fd9\u4e00\u533a\u522b\u8d2f\u7a7f\u5168\u6587，\u51b3\u5b9a\u4e86\u56db\u8bba\u4ee5\u5e76\u5217\u800c\u975e\u4ece\u5c5e\u7684\u65b9\u5f0f\u7ec4\u7ec7\u3002\u672a\u6765\u5de5\u4f5c\u5c06\u805a\u7126\u4e8e\u56db\u8bba\u7684\u6570\u5b66\u81ea\u6d3d\u6027\u8bc1\u660e\u3001\u53ef\u89c2\u6d4b\u4fee\u6b63\u9879\u7684\u5b9a\u91cf\u4f30\u7b97，\u4ee5\u53ca\u4e0e\u73b0\u6709\u5b9e\u9a8c\u6570\u636e\u7684\u62df\u5408\u68c0\u9a8c\u3002
        \n\u672c\u6587\u5728\u6df7\u6c8c\u62d3\u6251\u5b66\u6846\u67b6\u4e0b，\u5c06\u68af\u5ea6\u771f\u7a7a\u8bba\u3001\u80fd\u91cf\u4e00\u5143\u8bba\u3001\u65f6\u95f4\u8282\u5f8b\u8bba\u3001\u7a7a\u95f4\u5c3a\u5ea6\u8bba\u4f5c\u4e3a\u56db\u6761\u5e76\u5217\u7684\u57fa\u7840\u7406\u8bba，\u9010\u4e00\u7ed9\u51fa\u4e86\u6838\u5fc3\u5047\u8bbe\u3001\u57fa\u672c\u65b9\u7a0b\u4e0e\u7269\u7406\u63a8\u8bba，\u5e76\u4e0e\u7ecf\u5178\u76f8\u5bf9\u8bba\u8fdb\u884c\u4e86\u7cfb\u7edf\u5bf9\u7167\u3002\u56db\u8bba\u5206\u522b\u4ece\u4ecb\u8d28\u3001\u672c\u4f53\u3001\u65f6\u95f4\u3001\u7a7a\u95f4\u56db\u4e2a\u7ef4\u5ea6\u63d0\u4f9b\u4e86\u66ff\u4ee3\u7269\u7406\u56fe\u50cf，\u5c06\u76f8\u5bf9\u8bba\u4ece"\u5168\u57df\u666e\u9002"\u964d\u683c\u4e3a"\u5c40\u57df\u6709\u6548"\u3002\u7279\u522b\u5730，\u672c\u6587\u4e25\u683c\u53d6\u6d88\u4e86\u6b63\u53cd\u7269\u8d28\u7684\u533a\u5206，\u5c06\u6240\u6709\u57fa\u672c\u7c92\u5b50\u7edf\u4e00\u89c6\u4e3a\u4e0d\u5e26\u7535\u7684\u80fd\u91cf\u81ea\u6301\u6784\u578b\u3002\u672a\u6765\u5de5\u4f5c\u5c06\u805a\u7126\u4e8e\u56db\u8bba\u7684\u6570\u5b66\u81ea\u6d3d\u6027\u8bc1\u660e\u3001\u53ef\u89c2\u6d4b\u4fee\u6b63\u9879\u7684\u5b9a\u91cf\u4f30\u7b97，\u4ee5\u53ca\u4e0e\u73b0\u6709\u5b9e\u9a8c\u6570\u636e\u7684\u62df\u5408\u68c0\u9a8c\u3002<\/p>\n

        \n

        \u9644\u5f55：\u672f\u8bed\u4e0e\u7f29\u5199\u603b\u8868<\/h3>\n\n\u4e2d\u6587\u540dEnglish\u7f29\u5199\u6838\u5fc3\u4e00\u53e5<\/tr>\n\n\n\n\n\n\n\n
        \u6df7\u6c8c\u62d3\u6251\u5b66<\/td>\nHundun Topology<\/td>\nHDT<\/td>\n\u5168\u57df\u56e0\u679c\u4e0d\u53ef\u6570，\u53ea\u7ed9\u8d8b\u52bf<\/td>\n<\/tr>\n
        \u6df7\u6c8c\u62d3\u6251\u5b66\u00b7\u76f8\u5bf9\u8bba\u7bc7<\/td>\nHundun Topology \u2013 Relativity<\/td>\nHDT-R<\/td>\n\u56db\u8bba\u5e76\u5217，\u76f8\u5bf9\u8bba\u964d\u4e3a\u5c40\u57df\u6709\u6548\u51e0\u4f55<\/td>\n<\/tr>\n
        \u68af\u5ea6\u771f\u7a7a\u8bba<\/td>\nGradient Vacuum Theory<\/td>\nGVT<\/td>\n\u771f\u7a7a\u6709\u80fd\u91cf\u68af\u5ea6；\u5149\u901f\u968f\u4ecb\u8d28\u53d8，\u529b\u662f\u6cbf\u68af\u5ea6\u8fd0\u52a8<\/td>\n<\/tr>\n
        \u80fd\u91cf\u4e00\u5143\u8bba<\/td>\nEnergy Monism Theory<\/td>\nEMT<\/td>\n\u53ea\u6b64\u4e00\u80fd\u6e90；\u7269\u8d28\/\u5149\/\u771f\u7a7a\u7686\u663e\u76f8，E\u2248Mselfc2E \\\\approx M_{\\\\rm self} c^2<\/span><\/span>E<\/span><\/span>\u2248<\/span><\/span><\/span><\/span>M<\/span><\/span>self<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>c<\/span><\/span>2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/td>\n<\/tr>\n
        \u65f6\u95f4\u8282\u5f8b\u8bba<\/td>\nTemporal Rhythm Theory<\/td>\nTRT<\/td>\n\u65f6\u95f4\u6574\u4f53\u6052\u901f；\u5929\u4f53\u8d8a\u5927，\u7cfb\u7edf\u8282\u62cd\u8d8a\u6162<\/td>\n<\/tr>\n
        \u7a7a\u95f4\u5c3a\u5ea6\u8bba<\/td>\nSpatial Scale Theory<\/td>\nSST<\/td>\n\u7a7a\u95f4\u4e0d\u52a8；\u7269\u8d28\u6709\u80c0\u6709\u7f29\u6709\u5e73\u8861，\u4e09\u76f8\u5236\u8861\u3001\u7269\u6781\u5fc5\u53cd<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
        \n

        \u89c2\u6d4b\u539f\u5219：\u89c2\u6d4b\u5728\u522b\u5904，\u672c\u4f53\u5728\u6b64\u5730；\u63a5\u6536\u7aef\u4fe1\u53f7 \u2260 \u53d1\u5c04\u7aef\u72b6\u6001 \u2260 \u7a7a\u95f4\u672c\u4f53\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

        \u6458\u8981：\u672c\u6587\u5728\u6df7\u6c8c\u62d3\u6251\u5b66（HDT，Hundun Topology，\u533a\u522b\u4e8e\u897f\u65b9 chaos \u6982\u5ff5）\u6846\u67b6\u4e0b，\u63d0\u51fa\u68af\u5ea6\u771f\u7a7a\u8bba（GVT）\u3001\u80fd\u91cf\u4e00\u5143\u8bba（EMT）\u3001\u65f6\u95f4\u8282\u5f8b\u8bba（TRT）\u3001\u7a7a\u95f4\u5c3a\u5ea6\u8bba（SST）\u56db\u6761\u5e76\u5217\u7406\u8bba，\u5bf9\u7ecf\u5178\u76f8\u5bf9\u8bba\u7684\u7269\u7406\u56fe\u50cf\u4e0e\u9002\u7528\u8fb9\u754c\u8fdb\u884c\u7cfb\u7edf\u6027\u91cd\u6784\u3002\u5168\u6587\u4e0d\u5f15\u5165\u6b63\u53cd\u7269<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[9109,99,87,4508,427,4403],"topic":[],"class_list":["post-115177","post","type-post","status-publish","format-standard","hentry","category-server","tag-9109","tag-java","tag-87","tag-4508","tag-427","tag-4403"],"yoast_head":"\n\u6df7\u6c8c\u62d3\u6251\u5b66\uff08HDT)\u6846\u67b6\u4e0b\u7684\u76f8\u5bf9\u8bba\u91cd\u6784\uff1a\u57fa\u4e8e\u56db\u5927\u5e76\u5217\u7406\u8bba\u7684\u7edf\u4e00\u8868\u8ff0 - 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