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https:\/\/pattern.swarma.org\/path?id=88&from=wechat<\/span><\/strong><\/span><\/section>\n


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\u6070\u597d\u5728100\u5e74\u524d\uff0c\u89e3\u5f00\u76f8\u53d8\u95ee\u9898\u7684\u6570\u5b66\u94a5\u5319\u767b\u573a\uff0c\u5e76\u4e14\u6539\u53d8\u4e86\u6574\u4e2a\u81ea\u7136\u79d1\u5b66\uff0c\u8fd9\u628a\u94a5\u5319\u5c31\u662f\u4f0a\u8f9b\u6a21\u578b<\/strong>\u3002<\/span><\/p>\n

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\u4f0a\u8f9b\u6a21\u578b\u6700\u65e9\u662f\u4f5c\u4e3a\u4e00\u79cd\u6a21\u62df\u78c1\u6027\u7269\u4f53\u7684\u7b80\u5316\u6a21\u578b\u88ab\u63d0\u51fa\u6765\u7684\uff0c\u5b83\u8bbe\u8ba1\u7b80\u5355\u5374\u7528\u9014\u5e7f\u6cdb\uff0c\u53ef\u4ee5\u8bf4\uff0c\u4f0a\u8f9b\u6a21\u578b\u5728\u7269\u7406\u5b66\u4e2d\u7684\u666e\u904d\u7a0b\u5ea6\uff0c\u5c31\u50cf\u679c\u8747\u5728\u751f\u7269\u5b66\u4e2d\u4e00\u6837\u3002<\/span><\/p>\n

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\u4e00\u672c\u4e0d\u4e45\u524d\u51fa\u7248\u7684\u7edf\u8ba1\u7269\u7406\u5b66\u6559\u79d1\u4e66\u8ba4\u4e3a\uff0c\u4f0a\u8f9b\u6a21\u578b\u201c\u80fd\u7528\u6765\u5bf9\u51e0\u4e4e\u6240\u6709\u6709\u8da3\u7684\u70ed\u529b\u5b66\u73b0\u8c61\u8fdb\u884c\u5efa\u6a21\u201d\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u4e2a\u6a21\u578b\u4e5f\u5df2\u7ecf\u6e17\u900f\u5230\u4e86\u7269\u7406\u5b66\u4ee5\u5916\u7684\u5404\u4e2a\u5b66\u79d1\u91cc\uff0c\u53ef\u4ee5\u7528\u6765\u5bf9\u5730\u9707\u3001\u86cb\u767d\u8d28\u3001\u5927\u8111\u751a\u81f3\u79cd\u65cf\u9694\u79bb\u8fdb\u884c\u5efa\u6a21\u3002<\/span><\/p>\n

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\u4e66\u540d\uff1a<\/span><\/p>\n

Statistical Mechanics: An Introductory Graduate Course<\/span><\/p>\n

\u5730\u5740\uff1a<\/span><\/p>\n

https:\/\/www.springer.com\/gp\/book\/9783030281861<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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\u4ece\u63d0\u51fa\u5230\u6c89\u5bc2\uff0c<\/strong><\/span><\/p>\n

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1920\u5e74\uff0c\u5f53\u5168\u4e16\u754c\u6b63\u4ece\u897f\u73ed\u7259\u5927\u6d41\u611f\u4e2d\u6062\u590d\u65f6\uff0c\u5fb7\u56fd\u7269\u7406\u5b66\u5bb6\u5a01\u5ec9\u00b7\u695e\u6b21\uff08Wilhelm Lenz\uff09\u5f00\u59cb\u7814\u7a76\uff1a\u4e3a\u4ec0\u4e48\u5c06\u78c1\u94c1\u52a0\u70ed\u5230\u8d85\u8fc7\u67d0\u4e2a\u6e29\u5ea6\u540e\uff0c\u78c1\u6027\u5c31\u4f1a\u4e27\u5931<\/strong>\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u6b63\u662f\u76ae\u57c3\u5c14\u00b7\u5c45\u91cc\uff08Pierre Curie\uff09\u572825\u5e74\u524d\u901a\u8fc7\u5b9e\u9a8c\u53d1\u73b0\u7684\u73b0\u8c61\uff0c\u5f53\u94c1\u78c1\u7cfb\u7edf\u7684\u6e29\u5ea6\u8d85\u8fc7\u5c45\u91cc\u6e29\u5ea6\u65f6\uff0c\u539f\u672c\u5177\u6709\u7684\u78c1\u6027\u5c31\u4f1a\u4e27\u5931\u3002<\/span><\/p>\n


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\u695e\u6b21\u6ce8\u610f\u5230\uff0c\u5982\u679c\u5927\u591a\u6570\u539f\u5b50\u6307\u5411\u4e00\u81f4\uff0c\u5b83\u4eec\u5404\u81ea\u7684\u5fae\u5c0f\u78c1\u573a\u4fbf\u4f1a\u878d\u5408\uff0c\u4f7f\u7269\u4f53\u5728\u6574\u4f53\u5c42\u9762\u8868\u73b0\u51fa\u78c1\u6027\uff0c\u5c31\u50cf\u78c1\u94c1\u4e00\u6837\u3002\u800c\u5982\u679c\u671d\u4e0a\u7684\u539f\u5b50\u548c\u671d\u4e0b\u7684\u539f\u5b50\u5747\u5300\u6df7\u5408\uff0c\u5b83\u4eec\u7684\u78c1\u6027\u5c06\u4f1a\u4e2d\u548c\uff0c\u4f7f\u5f97\u6574\u4f53\u4e0d\u4f1a\u8868\u73b0\u51fa\u78c1\u6027\u3002<\/span><\/p>\n

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\u7269\u7406\u5b66\u5bb6\u4eec\u53d1\u8868\u4e86\u6570\u4ee5\u5343\u8ba1\u7684\u8bba\u6587\uff0c\u8ba8\u8bba\u70ed\u548c\u78c1\u5728\u7f51\u683c\u4e0a\u7684\u8f83\u91cf\u3002\u70ed\uff0c\u4e5f\u5c31\u662f\u7c92\u5b50\u7684\u968f\u673a\u632f\u52a8\uff0c\u5b83\u5236\u9020\u65e0\u5e8f\uff1b\u800c\u78c1\u529b\u5219\u62b5\u6297\u7740\u8fd9\u80a1\u6df7\u6c8c\u4e4b\u529b\u3002<\/strong>\u695e\u6b21\u8ba4\u4e3a\uff0c\u5728\u4f4e\u6e29\u60c5\u51b5\u4e0b\uff0c\u78c1\u529b\u4f1a\u6210\u4e3a\u4e3b\u5bfc\uff1b\u800c\u5f53\u6e29\u5ea6\u8db3\u591f\u9ad8\u65f6\uff0c\u968f\u673a\u632f\u52a8\u5c06\u74e6\u89e3\u6389\u539f\u5b50\u4eec\u6574\u4f53\u7684\u534f\u540c\u72b6\u6001\u2014\u2014\u8fd9\u5c31\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u5c45\u91cc\u4f1a\u89c2\u5bdf\u5230\u9ad8\u6e29\u7684\u78c1\u94c1\u4f1a\u5931\u53bb\u78c1\u6027\u3002<\/span><\/p>\n

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\u56fe3\uff1a\u4e00\u7ef4\u4f0a\u8f9b\u6a21\u578b\u3002\u5bf9\u4e8e\u94c1\u78c1\u7cfb\u7edf\u800c\u8a00\uff0c\u5f53\u539f\u5b50\u7684\u78c1\u77e9\u6307\u5411\u76f8\u540c\u65f6\uff0c\u5b83\u4eec\u76f8\u4e92\u4f5c\u7528\u7684\u80fd\u91cf\u6bd4\u8f83\u4f4e\uff0c\u6574\u4e2a\u7cfb\u7edf\u8f83\u4e3a\u7a33\u5b9a\uff0c\u56e0\u6b64\u78c1\u529b\u8ba9\u539f\u5b50\u7684\u78c1\u77e9\u65b9\u5411\u503e\u5411\u4e8e\u4fdd\u6301\u4e00\u81f4\u3002\u4f46\u70ed\u91cf\u4f1a\u5bfc\u81f4\u539f\u5b50\u7684\u78c1\u77e9\u968f\u673a\u7ffb\u8f6c\u3002<\/span><\/strong><\/span><\/p>\n


<\/p>\n

\u52a0\u62ff\u5927\u9ea6 McMaster \u5927\u5b66\u7684\u51dd\u805a\u6001\u7269\u7406\u5b66\u5bb6 John Berlinsky \u89e3\u91ca\u8bf4\uff0c\u4e00\u7ef4\u60c5\u51b5\u4e0d\u7b26\u5408\u73b0\u5b9e\u4e16\u754c\u7684\u94c1\u78c1\u76f8\u53d8\u8fc7\u7a0b\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u4f0a\u8f9b\u4e8e1925\u5e74\u53d1\u8868\u4e86\u4ed6\u7684\u6210\u679c\u3002\u4ed6\u548c\u695e\u6b21\u8ba4\u4e3a\uff0c\u8be5\u7ed3\u8bba\u540c\u6837\u9002\u7528\u4e8e\u4e8c\u7ef4\u548c\u4e09\u7ef4\u7684\u7bad\u77e2\u7f51\u683c\uff0c\u56e0\u6b64\uff0c\u4ed6\u4eec\u7684\u6a21\u578b\u4e8b\u5b9e\u4e0a\u6ca1\u6709\u6210\u529f\u89e3\u91ca\u771f\u5b9e\u78c1\u94c1\u7684\u7279\u6027\u3002\u8fd9\u4e2a\u7406\u8bba\u4f3c\u4e4e\u6ce8\u5b9a\u8981\u8d70\u5165\u5931\u8d25\u7406\u8bba\u7684\u5893\u56ed\u3002<\/span><\/p>\n

 <\/span><\/p>\n

<\/h1>\n
\n
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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/h1>\n

History of the Lenz-Ising Model 1920\u20131950: From Ferromagnetic to Cooperative Phenomena<\/span><\/h1>\n

\u8bba\u6587\u5730\u5740\uff1a
<\/span><\/p>\n

https:\/\/link.springer.com\/article\/10.1007\/s00407-004-0088-3 <\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n


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\u590d\u6d3b\u53c8\u8499\u5c18\uff1a\u4e8c\u7ef4\u4f0a\u8f9b\u6a21\u578b<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/h3>\n

 <\/span><\/p>\n

\u5c3d\u7ba1\u4e0d\u80fd\u89e3\u51b3\u6700\u521d\u8bd5\u56fe\u7814\u7a76\u7684\u95ee\u9898\uff0c\u4f46\u7531\u4e8e\u6570\u5b66\u65b9\u6cd5\u4e0a\u7684\u7a81\u7834\uff0c\u4f0a\u8f9b\u6a21\u578b\u5728\u77ed\u6682\u6c89\u5bc2\u540e\u53c8\u6d3b\u4e86\u8fc7\u6765\u3002\u4e0a\u4e16\u7eaa40\u5e74\u4ee3\uff0c\u5b83\u5f15\u8d77\u4e86\u7406\u8bba\u7269\u7406\u5b66\u5bb6\u3001\u540e\u6765\u7684\u8bfa\u5956\u5f97\u4e3b\u62c9\u65af\u00b7\u6602\u8428\u683c\uff08Lars Onsager\uff09\u7684\u6ce8\u610f\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u6602\u8428\u683c\u5c1d\u8bd5\u7814\u7a76\u4e8c\u7ef4\u7684\u4f0a\u8f9b\u6a21\u578b<\/strong>\uff0c\u5176\u4e2d\u6bcf\u4e2a\u7bad\u5934\u6709\u56db\u4e2a\u6700\u8fd1\u90bb\u800c\u4e0d\u662f\u4e24\u4e2a\uff0c\u5e76\u8ba1\u7b97\u5728\u4efb\u4f55\u7ed9\u5b9a\u7684\u6e29\u5ea6\u4e0b\uff0c\u671d\u4e0a\u7684\u539f\u5b50\u6240\u5360\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u65e0\u8bba\u662f\u5728\u4e00\u7ef4\u8fd8\u662f\u4e8c\u7ef4\u60c5\u51b5\uff0c\u8981\u6c42\u89e3\u8fd9\u4e2a\u95ee\u9898\uff0c\u90fd\u9700\u8981\u5217\u51fa\u6bcf\u4e2a\u7bad\u5934\u5bf9\u76f8\u90bb\u7684\u5176\u4ed6\u7bad\u5934\u7684\u5f71\u54cd\u3002\u56e0\u4e3a\u67d0\u4e2a\u7bad\u5934\u5bf9\u8fdc\u5904\u4e0d\u76f8\u90bb\u7bad\u5934\u7684\u5f71\u54cd\uff0c\u662f\u901a\u8fc7\u4e00\u4e2a\u4e00\u4e2a\u76f8\u90bb\u7684\u7bad\u5934\u4f20\u5bfc\u8fc7\u53bb\u7684\u3002\u800c\u5728\u4e8c\u7ef4\u5e73\u9762\u4e0a\uff0c\u60c5\u51b5\u8fdc\u6bd4\u4e00\u7ef4\u590d\u6742\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u6602\u8428\u683c\u7684\u89e3\u6cd5\u4e8e1944\u5e74\u53d1\u8868\u3002\u8ba1\u7b97\u673a\u5b66\u5bb6\u7d22\u6797\u00b7\u4ee5\u8272\u5217\uff08Sorin Istrail\uff09\u79f0\u8fd9\u662f\u4e00\u79cd\u201c\u975e\u4eba\u7c7b\u201d\u7684\u6570\u5b66\u65b9\u6cd5\uff0c\u81f3\u4eca\u4ecd\u7136\u5f88\u96be\u7406\u89e3\u3002\u201c\u4f60\u4e00\u884c\u4e00\u884c\u5730\u8ddf\u7740\u4ed6\u7684\u6b65\u9aa4\u8d70\uff0c\u6700\u540e\u53d1\u73b0\u8bc1\u660e\u662f\u5bf9\u7684\uff0c\u4f46\u4f60\u5bf9\u8bc1\u660e\u8fc7\u7a0b\u5374\u4e00\u65e0\u6240\u77e5\u201d\u3002<\/span><\/p>\n


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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a
<\/span><\/p>\n

https:\/\/journals.aps.org\/pr\/abstract\/10.1103\/PhysRev.65.117  <\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n

\u6602\u8428\u683c\u8bc1\u660e\uff0c<\/span>\u5bf9\u4e8e\u4e8c\u7ef4\u4f0a\u8f9b\u6a21\u578b\uff0c\u5728\u4f4e\u6e29\u60c5\u51b5\u4e0b\u7bad\u5934\u4f1a\u4fdd\u6301\u671d\u5411\u4e00\u81f4\uff0c\u78c1\u529b\u5c06\u83b7\u80dc\u3002\u800c\u5f53\u7cfb\u7edf\u8d85\u8fc7\u4e00\u4e2a\u7279\u5b9a\u7684\u201c\u4e34\u754c\u6e29\u5ea6\u201d\u65f6\uff0c\u5bfc\u81f4\u65e0\u5e8f\u7684\u6df7\u6c8c\u4e4b\u529b\u5c06\u80dc\u51fa\uff0c\u6b63\u5982\u540c\u695e\u6b21\u6700\u521d\u731c\u60f3\u7684\u4e00\u6837\u3002<\/strong>\u4e00\u4e2a\u7b80\u5355\u7684\u7bad\u77e2\u7f51\u683c\u5c31\u53ef\u4ee5\u89e3\u91ca\u76f8\u53d8\uff0c\u800c\u4e0d\u9700\u8981\u50cf\u8bb8\u591a\u7269\u7406\u5b66\u5bb6\u6240\u60f3\u7684\u90a3\u6837\uff0c\u8981\u8003\u8651\u771f\u5b9e\u7c92\u5b50\u81ea\u5e26\u7684\u5404\u79cd\u590d\u6742\u5c5e\u6027\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u4e0d\u8fc7\u4f0a\u8f9b\u6a21\u578b\u4ecd\u5728\u8499\u5c18\u3002\u5b83\u4f3c\u4e4e\u8fc7\u4e8e\u7b80\u5316\uff0c\u53ea\u662f\u5c55\u73b0\u4e86\u4e00\u79cd\u62bd\u8c61\u7684\u73b0\u5b9e\u3002\u4e39\u9ea6 Roskilde \u5927\u5b66\u7684\u7269\u7406\u5b66\u53f2\u4e13\u5bb6\u9a6c\u4e01\u00b7\u5c3c\u65af\uff08Martin Niss\uff09\u8bf4\uff0c\u5f53\u65f6\u4eba\u4eec\u5bf9\u4f0a\u8f9b\u6a21\u578b\u662f\u6301\u6000\u7591\u6001\u5ea6\u7684\u3002<\/span><\/p>\n

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\u518d\u5ea6\u5d1b\u8d77\uff1a<\/strong><\/span><\/p>\n

\u4f0a\u8f9b\u6a21\u578b\u80cc\u540e\u7684\u666e\u9002\u6027<\/strong><\/span><\/p>\n

<\/strong><\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n<\/h3>\n

\u4e0d\u8fc7\uff0c\u968f\u7740\u4eba\u4eec\u5bf9\u7a00\u6709\u6c14\u4f53\u6c29\u548c\u6c26\u7684\u7269\u7406\u7279\u6027\u7684\u7cbe\u786e\u6d4b\u5b9a\uff0c\u4f0a\u8f9b\u6a21\u578b\u7684\u5904\u5883\u518d\u6b21\u6539\u53d8\u3002\u6b64\u524d\u6602\u8428\u683c\u89e3\u51fa\u4e86\u4e00\u7cfb\u5217\u201c\u4e34\u754c\u6307\u6570\u201d\uff08Critical exponent\uff09<\/strong>\uff0c\u6765\u63cf\u8ff0\u5728\u53d1\u751f\u76f8\u53d8\u65f6\uff0c\u7269\u8d28\u7684\u4e0d\u540c\u5c5e\u6027\uff08\u4f8b\u5982\u5bc6\u5ea6\u3001\u6bd4\u70ed\u5bb9\u3001\u78c1\u6027\u7b49\uff09\u7684\u53d8\u5316\u901f\u5ea6\u3002\u800c\u5b9e\u9a8c\u7ed3\u679c\u4e0e\u6602\u8428\u683c\u901a\u8fc7\u7406\u8bba\u8ba1\u7b97\u5f97\u5230\u7684\u4e34\u754c\u6307\u6570\u662f\u543b\u5408\u7684\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u5c3c\u65af\u56de\u987e\u8fd9\u6bb5\u5386\u53f2\u65f6\u8bf4\uff0c\u52301965\u5e74\uff0c\u5927\u591a\u6570\u7269\u7406\u5b66\u5bb6\u5df2\u7ecf\u63a5\u6536\u4e86\u695e\u6b21\u548c\u4f0a\u8f9b\u7684\u6a21\u578b\uff0c\u5c3d\u7ba1\u7269\u7406\u5b66\u5bb6\u4eec\u4e5f\u540c\u6837\u5f88\u597d\u5947\uff1a\u4e00\u4e2a\u7269\u7406\u4e0a\u4e0d\u90a3\u4e48\u771f\u5b9e\u7684\u6a21\u578b\u5982\u4f55\u6c42\u89e3\u51fa\u4e86\u4e34\u754c\u6307\u6570\u8fd9\u6837\u7684\u5177\u4f53\u7ec6\u8282\uff1f<\/strong><\/span><\/p>\n


<\/p>\n

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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

History of the Lenz-Ising Model 1950-1965:from irrelevance to relevance<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a
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https:\/\/link.springer.com\/article\/10.1007\/s00407-008-0039-5  <\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n

\u7b54\u6848\u662f\uff0c\u4f0a\u8f9b\u6a21\u578b\u6293\u4f4f\u4e86\u672c\u8d28\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u4f0a\u8f9b\u6a21\u578b\u4e4b\u6240\u4ee5\u5f3a\u5927\uff0c\u662f\u56e0\u4e3a\u4e00\u7cfb\u5217\u4e0d\u76f8\u5173\u7684\u7269\u8d28\u5728\u4e34\u8fd1\u53d1\u751f\u76f8\u53d8\u65f6\uff0c\u90fd\u5177\u6709\u76f8\u540c\u7684\u4e34\u754c\u6307\u6570\u2014\u2014\u73b0\u5728\u6211\u4eec\u79f0\u8fd9\u79cd\u73b0\u8c61\u4e3a\u666e\u9002\u6027\uff08Universality\uff09<\/strong>\u30021971\u5e74\uff0c\u7f8e\u56fd\u7269\u7406\u5b66\u5bb6\u80af\u5c3c\u65af\u00b7\u5a01\u5c14\u900a\uff08Kenneth Wilson\uff09\u89e3\u51b3\u4e86\u6709\u5173\u666e\u9002\u6027\u7684\u6570\u5b66\u95ee\u9898\uff0c\u5e76\u56e0\u6b64\u83b7\u5f971982\u5e74\u8bfa\u8d1d\u5c14\u7269\u7406\u5b66\u5956\u3002<\/span><\/p>\n


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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a
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https:\/\/journals.aps.org\/prb\/abstract\/10.1103\/PhysRevB.4.3174<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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\u5a01\u5c14\u900a\u8bc1\u660e\uff0c\u867d\u7136\u5728\u9ad8\u6e29\u73af\u5883\u4e0b\uff0c\u7bad\u5934\u6307\u5411\u662f\u968f\u610f\u7684\uff0c\u4f46\u968f\u7740\u7cfb\u7edf\u9010\u6b65\u51b7\u5374\u5e76\u63a5\u8fd1\u76f8\u53d8\u4e34\u754c\u70b9\uff0c\u78c1\u529b\u76f8\u4e92\u4f5c\u7528\u4f1a\u9a71\u4f7f\u76f8\u90bb\u7bad\u5934\u6307\u5411\u4e00\u81f4\uff0c\u9010\u6e10\u805a\u96c6\u8d77\u8bb8\u591a\u6709\u5e8f\u7684\u201c\u5c9b\u5c7f\u201d\uff0c\u5e76\u8d8a\u957f\u8d8a\u5927\uff0c\u5728\u8fd9\u4e9b\u5c9b\u5c7f\u5185\u90e8\uff0c\u6240\u6709\u7bad\u5934\u90fd\u6307\u5411\u540c\u4e00\u65b9\u5411\u3002\u4e34\u754c\u6307\u6570\u53ef\u4ee5\u63cf\u8ff0\u8fd9\u4e00\u8fc7\u7a0b\u7684\u7ec6\u8282\uff0c\u4f8b\u5982\u6700\u5927\u7684\u5c9b\u5c7f\u7684\u662f\u600e\u6837\u751f\u957f\u7684\u3002<\/span><\/p>\n

 <\/span><\/p>\n

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\u56fe4\uff1a\u5f53\u4f0a\u8f9b\u6a21\u578b\u63a5\u8fd1\u5176\u4e34\u754c\u6e29\u5ea6\u65f6\uff0c\u6307\u5411\u76f8\u540c\u7684\u7bad\u5934\u5f62\u6210\u4e86\u5927\u5927\u5c0f\u5c0f\u5404\u79cd\u5c3a\u5bf8\u7684\u201c\u5c9b\u5c7f\u201d<\/span><\/strong><\/span><\/p>\n

 <\/span><\/p>\n

\u5728\u4e34\u754c\u6e29\u5ea6\u4e0b\uff0c\u5404\u79cd\u89c4\u6a21\u7684\u5c9b\u5c7f\u90fd\u53ef\u4ee5\u5171\u5b58\uff0c\u4e0d\u8bba\u662f\u829d\u9ebb\u5927\u7684\u5c0f\u5c9b\uff0c\u8fd8\u662f\u5e7f\u9614\u7684\u5927\u9646\u3002\u5e76\u4e14\u5728\u8fd9\u79cd\u7279\u6b8a\u60c5\u51b5\u4e0b\uff0c\u4e00\u4e2a\u7bad\u5934\u7684\u53d8\u5316\u53ef\u4ee5\u76f4\u63a5\u5f71\u54cd\u53e6\u4e00\u4e2a\u8ddd\u79bb\u9065\u8fdc\u7684\u7bad\u5934\uff0c\u5c3d\u7ba1\u5b83\u4eec\u5e76\u4e0d\u76f8\u90bb\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u7cfb\u7edf\u5728\u4e34\u754c\u72b6\u6001\u65f6\u5177\u6709\u7684\u8fd9\u4e9b\u6027\u8d28\u8868\u660e\uff0c\u5176\u5b8f\u89c2\u5c5e\u6027\u5df2\u4ece\u5fae\u89c2\u7ec6\u8282\u4e2d\u5206\u79bb\u4e86\u51fa\u6765\uff0c\u800c\u8fd9\u4fbf\u662f\u666e\u9002\u6027\u7684\u9b54\u529b\u3002\u4efb\u4f55\u7cfb\u7edf\uff0c\u53ea\u8981\u5177\u6709\u76f8\u540c\u7684\u7ef4\u6570\u548c\u5bf9\u79f0\u6027\uff0c\u4e0d\u8bba\u5b83\u4eec\u7684\u5fae\u89c2\u7ec4\u6210\u662f\u94c1\u539f\u5b50\u3001\u6c34\u5206\u5b50\u8fd8\u662f\u5c0f\u7bad\u5934\uff0c\u90fd\u4f1a\u7ecf\u5386\u76f8\u540c\u7684\u76f8\u53d8\u3002<\/span><\/p>\n


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\u666e\u9002\u6027\u610f\u5473\u7740\uff0c\u5bf9\u4e8e\u7531\u5f88\u591a\u76f8\u4e92\u4f5c\u7528\u7684\u4e2a\u4f53\u7ec4\u6210\u7684\u7cfb\u7edf\uff0c\u5f53\u5b83\u4eec\u7684\u7279\u6027\u53ef\u4ee5\u7528\u201c\u4e0a-\u4e0b\u201d\u3001\u201c\u6709-\u65e0\u201d\u8fd9\u6837\u7684\u4e00\u5bf9\u53cd\u4e49\u8bcd\u6765\u63cf\u8ff0\u65f6\uff0c\u5c31\u53ef\u4ee5\u7528\u4f0a\u8f9b\u6a21\u578b\u6765\u7814\u7a76\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u6b63\u5982\u52a0\u5dde\u5927\u5b66\u4f2f\u514b\u5229\u5206\u6821\u7684\u51dd\u805a\u6001\u7269\u7406\u5b66\u5bb6\u5f17\u6717\u897f\u65af\u00b7\u8d6b\u5c14\u66fc\uff08Frances Hellman\uff09\u6240\u8bf4\uff0c\u5728\u5904\u7406\u4e00\u4e9b\u7279\u5b9a\u95ee\u9898\u65f6\uff0c\u4f0a\u8f9b\u6a21\u578b\u662f\u6700\u7b80\u5355\u7684\u53ef\u89e3\u6a21\u578b\uff0c\u8fd0\u7528\u4f0a\u8f9b\u6a21\u578b\u5bf9\u4e8e\u7406\u89e3\u8fd9\u4e9b\u96be\u9898\u5927\u6709\u5e2e\u52a9\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u4e0e\u6b64\u540c\u65f6\uff0c\u7814\u7a76\u8005\u4e5f\u53ef\u4ee5\u5c06\u8fd9\u4e2a\u6a21\u578b\u9002\u5f53\u6269\u5c55\uff0c\u4ee5\u9002\u5e94\u4e0d\u540c\u7684\u7269\u7406\u7cfb\u7edf\uff0c\u4f8b\u5982\u53ef\u4ee5\u8ba9\u7bad\u5934\u5728\u5e73\u9762\u4e0a\u81ea\u7531\u65cb\u8f6c\u3002<\/span><\/p>\n

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\u7aa5\u63a2\u672a\u6765\u7684\u7269\u7406\u7406\u8bba\uff1a<\/strong><\/span><\/p>\n

\u4e09\u7ef4\u4f0a\u8f9b\u6a21\u578b\u7684\u7cbe\u786e\u89e3\u5728\u54ea\u91cc\uff1f<\/strong><\/span><\/p>\n

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\u867d\u7136\u4f0a\u8f9b\u6a21\u578b\u5e2e\u52a9\u7269\u7406\u5b66\u5bb6\u91cd\u65b0\u7406\u89e3\u4e86\u7269\u8d28\uff0c\u4f46\u5728\u7cbe\u786e\u6c42\u89e3\u4e09\u7ef4\u4f0a\u8f9b\u6a21\u578b\u65f6\uff0c\u7814\u7a76\u8005\u5374\u906d\u9047\u4e86\u91cd\u91cd\u963b\u788d\u3002\u5728\u4efb\u610f\u7ed9\u5b9a\u6e29\u5ea6\u4e0b\uff0c\u8981\u5982\u4f55\u627e\u5230\u4e00\u4e2a\u7b80\u6d01\u7684\u516c\u5f0f\uff0c\u6765\u523b\u753b\u4e09\u7ef4\u7bad\u77e2\u7f51\u683c\u7684\u78c1\u6027\u5462\uff1f\u4f0a\u8f9b\u57281920\u5e74\u7559\u4e0b\u7684\u8fd9\u4e2a\u95ee\u9898\uff0c\u5373\u4fbf\u662f\u7406\u67e5\u5fb7\u00b7\u8d39\u66fc\uff08Richard Feynman\uff09\u4e5f\u6ca1\u80fd\u6210\u529f\u89e3\u51b3\u3002<\/span><\/p>\n<\/h3>\n

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\u4eca\u5929\uff0c\u8ba1\u7b97\u673a\u53ef\u4ee5\u6a21\u62df\u4e09\u7ef4\u4f0a\u8f9b\u6a21\u578b\uff0c\u5e76\u5728\u5408\u7406\u7684\u7cbe\u5ea6\u8303\u56f4\u5185\u627e\u5230\u4e34\u754c\u6307\u6570\u7684\u8fd1\u4f3c\u503c\uff0c\u4e8e\u662f\u7cbe\u786e\u6c42\u89e3\u4e09\u7ef4\u4f0a\u8f9b\u6a21\u578b\u4e5f\u53d8\u5f97\u4e0d\u5f88\u7d27\u8981\u4e86\u3002\u4e0d\u8fc7\u4eba\u4eec\u4ecd\u7136\u5fc3\u5411\u5f80\u4e4b\u30022012\u5e74\uff0c\u7269\u7406\u5b66\u5bb6\u53d1\u8d77\u4e86\u4e00\u4e2a\u8054\u5408\u534f\u4f5c\u9879\u76ee\uff0c\u65e8\u5728\u63a2\u7d22\u903b\u8f91\u4e0a\u53ef\u80fd\u7684\u7269\u7406\u7406\u8bba\u7a7a\u95f4\uff0c\u8fd9\u4e2a\u7406\u8bba\u7a7a\u95f4\u4e2d\u7684\u6bcf\u4e00\u4e2a\u70b9\u90fd\u5bf9\u5e94\u4e00\u7ec4\u4e34\u754c\u6307\u6570\u3002\u4ed6\u4eec\u5df2\u7ecf\u9501\u5b9a\u4e86\u5305\u542b\u4e09\u7ef4\u4f0a\u8f9b\u6a21\u578b\u7684\u7cbe\u786e\u4e34\u754c\u6307\u6570\u7684\u533a\u57df\uff0c\u5e76\u4e14\u8fd8\u5728\u4e0d\u65ad\u7f29\u5c0f\u8fd9\u4e00\u533a\u57df\u7684\u8303\u56f4\u3002<\/span><\/p>\n


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\u56fe5\uff1a\u8fd0\u7528\u81ea\u4e3e\u6cd5\u63a2\u7d22\u91cf\u5b50\u7406\u8bba\u80cc\u540e\u7684\u51e0\u4f55\u7ed3\u6784\u3002\u6e90\uff1aCharlie Wood \/Quanta Magazine<\/span><\/strong><\/span><\/p>\n


<\/p>\n

2019\u5e7412\u6708\uff0c\u4ed6\u4eec\u7528\u8fd9\u5957\u65b0\u65b9\u6cd5\u89e3\u91ca\u4e861992\u5e74\u4e00\u67b6\u822a\u5929\u98de\u673a\u4e0a\uff0c\u6db2\u6001\u6c26\u5448\u73b0\u7684\u4ee4\u4eba\u8d39\u89e3\u7684\u6d4b\u91cf\u7ed3\u679c\u3002 <\/span><\/p>\n


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\u8bba\u6587\u9898\u76ee\uff1a<\/span><\/p>\n

Carving out OPE space and precise O(2) model critical exponents<\/span><\/p>\n

\u8bba\u6587\u5730\u5740\uff1a
<\/span><\/p>\n

https:\/\/arxiv.org\/abs\/1912.03324  <\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n

\u5728\u8fd9\u4e2a\u62bd\u8c61\u7684\u201c\u7406\u8bba\u7a7a\u95f4\u201d\u4e2d\uff0c\u4f0a\u8f9b\u6a21\u578b\u662f\u6700\u7b80\u5355\u7684\u5730\u65b9\u4e4b\u4e00\uff0c\u56e0\u6b64\u5b83\u4e5f\u6210\u4e3a\u5f00\u53d1\u65b0\u5de5\u5177\u7684\u8bd5\u9a8c\u573a\uff0c\u8fdb\u800c\u63a2\u7d22\u672a\u77e5\u9886\u57df\u3002<\/span><\/p>\n

 <\/span><\/p>\n

\u6cd5\u56fd\u9ad8\u7b49\u79d1\u5b66\u7814\u7a76\u6240\u7684\u7269\u7406\u5b66\u5bb6\u65af\u62c9\u5a03\u00b7\u96f7\u5947\u79d1\u592b\uff08Slava Rychkov\uff09\u53c2\u4e0e\u4e86\u8fd9\u4e2a\u5b8f\u4f1f\u7684\u8ba1\u5212\uff0c\u4ed6\u8ba4\u4e3a\uff0c\u5982\u679c\u80fd\u591f\u6c42\u89e3\u4e09\u7ef4\u4f0a\u8f9b\u6a21\u578b\u4e34\u754c\u6307\u6570\u7684\u7cbe\u786e\u503c\uff0c\u90a3\u5fc5\u7136\u662f\u901a\u8fc7\u4e00\u4e9b\u5b8c\u5168\u672a\u77e5\u7684\u3001\u5168\u65b0\u7684\u7406\u8bba\u6765\u5b9e\u73b0\uff0c\u800c\u8fd9\u5fc5\u5c06\u662f\u4e00\u573a\u9769\u547d\u3002<\/span><\/p>\n


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\u539f\u6587\u5730\u5740\uff1a
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https:\/\/www.quantamagazine.org\/the-cartoon-picture-of-magnets-that-has-transformed-science-20200624\/<\/span><\/p>\n

\u7ffb\u8bd1\uff1a\u5218\u534e\u6797<\/span><\/p>\n

\u5ba1\u6821\uff1a\u6881\u91d1\u3001\u5218\u57f9\u6e90<\/span><\/p>\n

\u7f16\u8f91\uff1a\u5f20\u723d<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


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\u63a8\u8350\u9605\u8bfb<\/strong><\/strong><\/span><\/p>\n

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<\/section>\n
\u957f\u6587\u7efc\u8ff0\uff1a\u4ece\u5927\u6570\u636e\u4e2d\u5bfb\u627e\u590d\u6742\u7cfb\u7edf\u7684\u6838\u5fc3\u53d8\u91cf<\/span><\/strong><\/a>
<\/section>\n
Physics Reports\u8ba1\u7b97\u7f51\u7edc\u751f\u7269\u5b66\u957f\u6587\u7efc\u8ff0\uff1a\u6570\u636e\u3001\u6a21\u578b\u548c\u5e94\u7528<\/span><\/strong><\/a>
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\u8d85\u8d8a\u7b80\u5355\u89c4\u5219\u2014\u2014\u7528\u56fe\u795e\u7ecf\u7f51\u7edc\u5bf9\u590d\u6742\u7cfb\u7edf\u8fdb\u884c\u81ea\u52a8\u5efa\u6a21<\/span><\/strong><\/a>
<\/section>\n
\u91cd\u78c5Science\u8bba\u6587\uff1a\u7528\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u89e3\u51b3\u91cf\u5b50\u591a\u4f53\u95ee\u9898<\/span><\/strong><\/a><\/section>\n
\u52a0\u5165\u96c6\u667a\uff0c\u4e00\u8d77\u590d\u6742\uff01<\/strong><\/span><\/a><\/section>\n


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\u96c6\u667a\u4ff1\u4e50\u90e8QQ\u7fa4\uff5c877391004<\/span><\/strong><\/p>\n

\u5546\u52a1\u5408\u4f5c\u53ca\u6295\u7a3f\u8f6c\u8f7d\uff5cswarma@swarma.org
<\/span><\/strong><\/p>\n

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\u25c6 <\/span>\u25c6 <\/span>\u25c6<\/span><\/span><\/strong><\/strong><\/h1>\n<\/section>\n

\u641c\u7d22\u516c\u4f17\u53f7\uff1a\u96c6\u667a\u4ff1\u4e50\u90e8<\/span><\/strong><\/span><\/p>\n


<\/p>\n

\u52a0\u5165\u201c\u6ca1\u6709\u56f4\u5899\u7684\u7814\u7a76\u6240\u201d<\/span><\/strong><\/span><\/p>\n

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<\/p>\n<\/section>\n

\u8ba9\u82f9\u679c\u7838\u5f97\u66f4\u731b\u70c8\u4e9b\u5427\uff01<\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


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\ud83d\udc47\u70b9\u51fb\u201c\u9605\u8bfb\u539f\u6587\u201d\uff0c\u4e86\u89e3\u66f4\u591a\u8bba\u6587\u4fe1\u606f<\/span><\/span><\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"

\u5728\u4f0a\u8f9b\u6a21\u578b\u4e2d\uff0c\u9ad8\u6e29\u4f1a\u5bfc\u81f4\u7bad\u5934\uff08\u901a\u5e38\u8868\u793a\u7c92\u5b50\u81ea\u65cb\uff09\u968f\u673a\u7ffb\u8f6c\uff0c\u800c\u78c1\u529b\u5219\u4f1a\u8ba9\u8fd1\u90bb\u7684\u7bad\u5934\u540c\u5411\u6392\u5217\u3002\u8fd9\u4e24\u80a1\u529b\u91cf\u7684\u6597\u4e89\u51c6\u786e\u6355\u6349\u4e86\u73b0\u5b9e\u4e16\u754c\u4e2d\u5927\u91cf\u7cfb\u7edf\u7684\u7279\u5f81\u3002 \u5bfc\u8bed \u4f0a\u8f9b\u6a21\u578b\u6700\u521d\u662f\u7528\u4e8e\u89e3\u91ca\u94c1\u78c1\u7cfb\u7edf\u76f8\u53d8\u7684\u4e00\u4e2a\u7b80\u5355\u6a21\u578b\uff0c\u5728\u901a\u8fc7\u6570\u8f6e\u5f00\u53d1\u540e\uff0c\u4eba\u4eec\u9010\u6e10\u8ba4\u8bc6\u5230\u4e86\u5b83\u4f5c\u4e3a\u76f8\u53d8\u6a21\u578b\u7684\u666e\u9002\u6027\uff1a\u65e0\u8bba\u662f\u94c1\u539f\u5b50\u8fd8\u662f\u6c34\u5206\u5b50\u7ec4\u6210\u7684\u7cfb\u7edf\uff0c\u5728\u4e34\u8fd1\u76f8…<\/p>\n","protected":false},"author":1,"featured_media":20394,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"special":[],"_links":{"self":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/20402"}],"collection":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=20402"}],"version-history":[{"count":0,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/posts\/20402\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=\/wp\/v2\/media\/20394"}],"wp:attachment":[{"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=20402"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=20402"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=20402"},{"taxonomy":"special","embeddable":true,"href":"https:\/\/swarma.org\/index.php?rest_route=%2Fwp%2Fv2%2Fspecial&post=20402"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}