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class=\"wp-block-heading\">4. 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equation\uff09\u3002\u8fd9\u4e9b\u90fd\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u9488\u5bf9\u725b\u987f\u6d41\u4f53\u7684\u5e94\u7528\u3002\u7136\u800c\uff0c\u7531\u4e8e\u300a\u5316\u5de5\u539f\u7406\u300b\u7684\u7814\u7a76\u76ee\u6807\u4ec5\u4e3a\u89e3\u51b3\u4f20\u8d28\u4f20\u70ed\u95ee\u9898\uff0c\u52a0\u4e0a\u6570\u5b66\u57fa\u7840\u8bbe\u7f6e\u4e0a\u7684\u9650\u5236\uff0c\u300a\u5316\u5de5\u539f\u7406\u300b\u8bfe\u7a0b\u4e2d\u7684\u5e94\u7528\u4f8b\u9898\u4e00\u822c\u4ec5\u9650\u4e8e\u5c42\u6d41\uff08\u7ebf\u6027\u5316\u7684\u7eb3\u7ef4--\u65af\u6258\u514b\u65af\u65b9\u7a0b\uff09\u3001\u4e00\u7ef4\u3001\u5b9a\u6001\u6d41\u95ee\u9898\uff0c\u751a\u81f3\u53ef\u4ee5\u8d8a\u8fc7\u7eb3\u7ef4--\u65af\u6258\u514b\u65af\u65b9\u7a0b\u7684\u660e\u663e\u5f15\u5165\uff0c\u76f4\u63a5\u91c7\u7528\u5fae\u79ef\u5206\u601d\u60f3\u5217\u51fa\u5fae\u5206\u65b9\u7a0b\u89e3\u9898\uff1b\u5f80\u5f80\u53ea\u5173\u5fc3\u538b\u5dee\u548c\u603b\u6d41\u91cf\u7684\u5173\u7cfb\u95ee\u9898\uff08\u4f8b\u5982Hagen--Poisseuille\u65b9\u7a0b\uff09\uff0c\u907f\u514d\u7ec6\u5316\u5230\u6d41\u901f\u5206\u5e03\u573a\u7b49\u6d89\u53ca\u573a\u51fd\u6570\u5fae\u79ef\u5206\u5b9a\u7406\u7684\u6570\u5b66\u77e5\u8bc6\u7684\u9898\u76ee\uff0c\u4ee5\u4fdd\u6301\u5168\u4e66\u7bc7\u5e45\u5728\u5408\u7406\u7684\u8303\u56f4\u5185\u3002 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&quot;\u8bc4\u8bba&quot;","block_context":{"text":"\u8bc4\u8bba","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e8%af%84%e8%ae%ba"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":7864,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/7864","url_meta":{"origin":9089,"position":2},"title":"\u6db2\u4f53\u7269\u7406\u4e0e\u9ad8\u5206\u5b50\u7269\u7406","author":"Andrew","date":"2020\u5e741\u670819\u65e5","format":false,"excerpt":"\u5176\u5b9e50\u5e74\u4ee3\u4e4b\u540e\u51dd\u805a\u6001\u7269\u7406\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u8fdb\u5c55\u662f\u6db2\u4f53\u7684\u7edf\u8ba1\u529b\u5b66\u7406\u8bba\u7684\u5b8c\u5584\u3002\u6db2\u4f53\u7269\u7406\u672c\u8eab\u8d77\u6e90\u572830\u5e74\u4ee3\uff0c\u5f52\u529f\u4e8e\u4ece60\u5e74\u4ee3\u768460\u5e74\u4ee3Zwanzig\u3001Mori\u3001Rahman\u3001Yip\uff0c80\u5e74\u4ee3Alder and Alley\u3001Gotze (MCT)\u300190\u5e74\u4ee3Hess and Klein\uff0cEvans and Morris\u30012000\u4e4b\u540eTodd, Hansen and Daivis\u7b49\u4eba\u3002\u5173\u4e8e\u6db2\u4f53\u7269\u7406\u7684\u5386\u53f2\uff0c\u53ef\u4ee5\u770b\u6211\u4e4b\u524d\u8fd9\u7bc7\u6587\u7ae0\u91cc\u9762\u63a8\u8350\u7684\u7efc\u8ff0\u3002 \u5927\u6982\u4ece80\u5e74\u4ee3\u5f00\u59cb\uff0c\u5c31\u6709\u5c06\u6db2\u4f53\u7269\u7406\u5e94\u7528\u5230\u9ad8\u5206\u5b50\u7269\u7406\u5f53\u4e2d\u7684\u5de5\u4f5c\u3002\u7194\u4f53\u65b9\u9762\uff0c\u5e73\u8861\u6001\u7edf\u8ba1\u4ee5PRISM\u7406\u8bba\u4e3a\u4ee3\u8868\u3002\u4ee5\u6b64\u4e3a\u51fa\u53d1\u70b9\u7684\u975e\u5e73\u8861\u6001\u7edf\u8ba1\uff0c\u4ee5Ken Schweizer\u4e3a\u4ee3\u8868\u4ece80\u5e74\u4ee3\u672b\u5f00\u59cb\u505a\u4e86\u5927\u91cf\u5de5\u4f5c\u3002\u867d\u7136\u5177\u4f53\u5efa\u6a21\u8fc7\u7a0b\u8fd8\u662f\u9700\u8981\u5f88\u591a\u8fd1\u4f3c\u5047\u8bbe\uff0c\u5f15\u5165\u4e86\u5f88\u591a\u4e3b\u89c2\u6027\uff0c\u4f46\u662f\u6db2\u4f53\u7269\u7406\u7684\u7b2c\u4e00\u539f\u7406\u6027\u4fdd\u8bc1\u63d0\u4f9b\u7684\u662f\u4e00\u4e2a\u80fd\u540c\u65f6\u9884\u6d4b\u4e0d\u540c\u94fe\u67b6\u6784\u4f53\u7cfb\uff08\u7f20\u7ed3\/\u975e\u5f39\u7ed3\u3001\u652f\u5316\u3001\u73af\u72b6\u2026\u2026\uff09\u7684\u52a8\u6001\u7ed3\u6784\u56e0\u5b50\u3001\u7ebf\u6027\u7c98\u5f39\u6027\u3001\u73bb\u7483\u5316\u8f6c\u53d8\u3001\u4ee5\u53ca\u5176\u4ed6\u4f20\u8f93\u6027\u8d28\u7684\u7edf\u4e00\u7406\u8bba\u3002\u5176\u4e2d\uff0c\u7b80\u5355\u6db2\u4f53\u4e2d\u7528\u4e8e\u8fd1\u4f3c\u73bb\u7483\u5316\u8f6c\u53d8\u7684\u5f3a\u5173\u8054\u7684MCT\uff0c\u4e0d\u4ec5\u88ab\u7528\u4e8e\u9ad8\u5206\u5b50\u73bb\u7483\u5316\u8f6c\u53d8\uff0c\u8fd8\u88ab\u7528\u4e8e\u7f20\u7ed3\u9ad8\u5206\u5b50\u3002MCT\u8ddf\u7ba1\u5b50\u7406\u8bba\u4e00\u6837\uff0c\u90fd\u662feffective medium\u6a21\u578b\uff0c\u601d\u60f3\u90fd\u662f\u628a\u591a\u4f53\u95ee\u9898\u8f6c\u5316\u4e3a\u5355\u4f53\u5728\u4e00\u4e2a\u7279\u6b8a\u7684\u7b49\u6548\u4ecb\u8d28\u4e2d\u7684\u95ee\u9898\u3002\u6240\u4ee5\uff0c\u867d\u7136Schweizer\u597d\u50cf\u6ca1\u6709\u76f4\u63a5\u62a5\u9053\u8fd9\u79cd\u505a\u6cd5\uff0c\u4f46\u4ed6\u7684\u5de5\u4f5c\u5b9e\u9645\u4e0a\u628a\u7f20\u7ed3\u7ebf\u5f62\u9ad8\u5206\u5b50\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u73bb\u7483\u533a\u548c\u6a61\u80f6\u533a\u90fd\u7528MCT\u5904\u7406\u4e86\u3002 Rouse\u4f5c\u4e3a\u4e00\u4e2a\u7a00\u6eb6\u6db2\u6a21\u578b\uff0c\u5374\u53cd\u800c\u80fd\u7cbe\u786e\u63cf\u8ff0\u975e\u7f20\u7ed3\u7194\u4f53\u7684\u539f\u56e0\uff0c\u662f\u672a\u8bc1\u5b9e\u7684\uff0c\u731c\u6d4b\u662f\u53ef\u80fd\u8bf4\u660e\u540e\u8005\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u4f5c\u7528\u53ef\u5ffd\u7565\uff0c\u53ef\u89c6\u4e3a\u5355\u94fe\u4e00\u79cd\u201c\u6eb6\u6db2\u201d\u3002\u56e0\u6b64\u867d\u7136Rouse\u662f\u4e00\u4e2a\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\uff0c\u4f46\u4e0d\u80fd\u5f53\u4f5c\u975e\u7f20\u7ed3\u7194\u4f53\u7684\u7b2c\u4e00\u539f\u7406\u6027\u6a21\u578b\uff0c\u5b83\u5176\u5b9e\u662f\u7194\u4f53\u7684\u4e00\u4e2a\u7b49\u6548\u4ecb\u8d28\uff08effective medium\uff09\u6a21\u578b\u3002 \u6eb6\u6db2\u65b9\u9762\uff0c\u7a81\u7834Flory\u3001Huggins\u3001Krigbaum\u7684\u534a\u7ecf\u9a8c\u5c40\u9650\uff0c\u4eceMcMillan-Mayer\u7684\u7edf\u8ba1\u7406\u8bba\u51fa\u53d1\u7684\u5de5\u4f5c\uff0c\u5219\u6bd4\u8f83\u4e3a\u4e3b\u6d41\u9ad8\u5206\u5b50\u7269\u7406\u754c\u6240\u4e86\u89e3\u4e86\uff0c\u56e0\u4e3aYamakawa\u5199\u4e86\u4e2a\u5f88\u597d\u7684monograph\uff0cDoi\u548cEwards\u7684\u90a3\u672c\u4e66\u91cc\u5173\u4e8e\u6eb6\u6db2\u7684\u7ae0\u8282\u5185\u5bb9\u6bd4Yamakawa\u66f4\u8fd1\u4ee3\u4e00\u4e9b\u3002 \u8bda\u7136\uff0c\u4f46\u51e1\u6d89\u53ca\u5230\u6d53\u7a20\u4f53\u7cfb\u6216\u8005\u5f3a\u5173\u8054\u4f53\u7cfb\u65f6\uff0c\u6211\u4eec\u90fd\u65e0\u6cd5\u7b2c\u4e00\u539f\u7406\u6027\u5730\u53bb\u5efa\u6a21\uff0c\u603b\u8981\u6c42\u52a9\u4e8e\u7c97\u7c92\u5316\u3001\u5e73\u5747\u573a\u3001\u7b49\u6548\u4ecb\u8d28\uff08effective medium\uff09\u3001\u91cd\u6574\u5316\u7fa4\u2026\u20262000\u5e74\u4ee3\uff0cKawasaki\u3001Das\u3001Andreanov\u7b49\u4eba\u8fdb\u884c\u4e86MCT\u7684\u7edf\u8ba1\u573a\u8bba\u63a8\u5bfc\u5de5\u4f5c\u3002\u6211\u89c9\u5f97\u6bd4\u8f83\u7a81\u51fa\u7684\u8ba4\u8bc6\u662fAndreanov\u57282009\u5e74\u5c55\u793a\u4e86\u5b83\u7684\u5e73\u5747\u573a\u5c5e\u6027\uff08\u5b83\u5176\u5b9e\u662f\u4e2aLandau\u7406\u8bba\uff09\u3002 MCT\u7684\u7406\u8bba\u610f\u4e49\uff0c\u5728Andreannov 2009\u7684EPL\u548cBerthier 2011\u7684Rev Mod Phys\u4e2d\u90fd\u8bb2\u5f97\u975e\u5e38\u597d\u3002Andreannov\u8fd8\u66fe\u5728\u4ed6\u7684\u53e6\u4e00\u4e2a\u4f5c\u4e2d\u63d0\u793a\uff0c\u7edf\u8ba1\u573a\u8bba\u65b9\u6cd5\u6709\u53ef\u80fd\u8865\u5168\u5f53\u4e0bGotze\u7248\u672c\u7684MCT\u65e0\u6cd5\u9884\u6d4bactivated barrier hopping\u7684\u91cd\u8981\u7f3a\u9677\u3002\uff08Schweizer\u5728\u8fd9\u65b9\u9762\u53d1\u8868\u8fc7\u51e0\u7bc7\u5de5\u4f5c\uff0c\u4f46\u57fa\u672c\u65b9\u6cd5\u662f\u81ea\u5df1\u4e3ahopping\u8bbe\u7f6e\u4e86\u4e00\u4e2a\u968f\u673a\u8fc7\u7a0b\uff0c\u662f\u7ecf\u9a8c\u7684\u3002\uff09","rel":"","context":"In &quot;\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0&quot;","block_context":{"text":"\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/tagged"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9191,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9191","url_meta":{"origin":9089,"position":3},"title":"Flory\u7684\u201c\u53e6\u4e00\u672c\u4e66\u201d","author":"Andrew","date":"2025\u5e744\u670820\u65e5","format":false,"excerpt":"\u67d0\u6821\u300a\u9ad8\u5206\u5b50\u7269\u7406\u300b\u8bfe\u671f\u672b\u8003\u8bd5\u7684\u201c\u82f1\u6587\u540d\u8bcd\u89e3\u91ca\u201d\u9898\u4e2d\uff0c\u8003\u5230\u201crotational isomeric state\u201d\uff08\u65cb\u8f6c\u5f02\u6784\u6001\uff09\u8fd9\u4e2a\u672f\u8bed\u3002\u6211\u611f\u5230\u5f88\u56f0\u60d1\u3002\u56e0\u4e3a\u8fd9\u4e2a\u672f\u8bed\u662f\u6bd4\u8f83\u6df1\u7684\u3002\u6211\u4eec\u6240\u91c7\u7528\u7684\u672c\u79d1\u9ad8\u5206\u5b50\u7269\u7406\u6559\u6750\uff0c\u6839\u672c\u6ca1\u6709\u6d89\u53ca\u5230\u8fd9\u4e2a\u6982\u5ff5\u3002\u8fd9\u4e2a\u6982\u5ff5\u751a\u81f3\u6ca1\u6709\u51fa\u73b0\u5728P. J. Flory\u7684\u201c\u90a3\u672c\u4e66\u201d\u2014\u2014Principles of Polymer Chemistry\u4e2d\uff08\u51fa\u7248\u4e8e1953\u5e74\uff09\uff0c\u56e0\u4e3a\u8fd9\u4e2a\u6982\u5ff5\u662f\u7531\u041c\u0438\u0445\u0430\u0438\u0301\u043b \u0412\u043b\u0430\u0434\u0438\u0301\u043c\u0438\u0440\u043e\u0432\u0438\u0447 \u0412\u043e\u043b\u044c\u043a\u0435\u043d\u0448\u0442\u0435\u0301\u0439\u043d\uff08M. V. Volkenstein\uff09\u57281959\u5e74\u53d1\u8868\u7684\u8457\u4f5c\u041a\u043e\u043d\u0444\u0438\u0433\u0443\u0440\u0430\u0446\u0438\u043e\u043d\u043d\u0430\u044f \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u043f\u043e\u043b\u0438\u043c\u0435\u0440\u043d\u044b\u0445 \u0446\u0435\u043f\u0435\u0439\uff08\u805a\u5408\u7269\u94fe\u7684\u6784\u8c61\u7edf\u8ba1\uff09\u4e2d\u6b63\u5f0f\u63d0\u51fa\u7684\u30021963\u5e74\uff0c\u8be5\u4e66\u7684\u82f1\u6587\u7ffb\u8bd1\u5728\u7f8e\u56fd\u51fa\u7248\uff0cP. J. Flory\u5728\u5e8f\u4e2d\u9ad8\u5ea6\u8d5e\u8d4f\u4e86\u8be5\u8457\u4f5c\u3002\u540e\u8005\u7684\u201c\u53e6\u4e00\u672c\u4e66\u201d\u2014\u2014Statistical Mechanics of Chain Molecules\u4e5f\u4e8e1969\u5e74\u51fa\u7248\uff0c\u4f7f\u5f97\u65cb\u8f6c\u5f02\u6784\u6001\u2014\u2014\u8ba1\u7b97\u771f\u5b9e\u805a\u5408\u7269\u94fe\u7edf\u8ba1\u6027\u8d28\u7684\u4e00\u79cd\u8fd1\u4f3c\u601d\u60f3\u2014\u2014\u5f97\u5230\u66f4\u52a0\u4e3a\u4eba\u6240\u77e5\uff08\u5c3d\u7ba1\u8fd9\u672c\u4e66\u4ecd\u7136\u662f\u5c11\u6709\u4eba\u9605\u8bfb\u7684\uff09\u3002 M. Volkenstein\u539f\u8457\u5c01\u9762 \u65cb\u8f6c\u5f02\u6784\u6001\u5047\u8bbe\uff0c\u4f7f\u5f97\u63cf\u8ff0\u771f\u5b9e\u94fe\u7684\u5316\u5b66\u952e\u8282\u590d\u6742\u6027\u2014\u2014\u4f8b\u5982\u4e0d\u5bf9\u79f0\u4ee5\u53ca\u5404\u81ea\u4e0d\u72ec\u7acb\u7684\u952e\u8282\u65cb\u8f6c\u52bf\u80fd\u66f2\u7ebf\u2014\u2014\u6709\u4e86\u53ef\u5199\u4e0b\u7684\u7edf\u4e00\u6570\u5b66\u5f62\u5f0f\u3002\u4ece\u4eca\u5929\u7684\u89d2\u5ea6\u770b\uff0c\u8fd9\u4e00\u5047\u8bbe\u9020\u6210\u7684\u597d\u5904\u662f\u6570\u5b66\u63cf\u8ff0\u7684\u79bb\u6563\u5316\u3002\u8fd9\u5f88\u50cf\u7531\u201c\u968f\u673a\u8fc7\u7a0b\u201d\u5230\u201c\u65f6\u95f4\u5e8f\u5217\u201d\u7684\u53d8\u5316\u65b9\u5f0f\u3002 \u4e0a\u4e16\u7eaa60\u5e74\u4ee3\u6070\u597d\u662f\u7535\u5b50\u8ba1\u7b97\u673a\u95ee\u4e16\u7684\u65f6\u4ee3\u3002\u590d\u6742\u7684\u8ba1\u7b97\u5982\u679c\u53ef\u4ee5\u88ab\u4ee5\u4e00\u79cd\u79bb\u6563\u5316\u7684\u65b9\u5f0f\u63cf\u8ff0\uff0c\u5c31\u53ef\u4ee5\u901a\u8fc7\u7535\u5b50\u8ba1\u7b97\u673a\u6765\u89e3\u51b3\u3002\u57fa\u4e8e\u77e9\u9635\u8fd0\u7b97\u7684\u7ebf\u6027\u4ee3\u6570\u5728\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\u53d1\u6325\u4e86\u91cd\u8981\u7684\u4f5c\u7528\u3002\u6bd4\u5982\uff0c\u4ee5\u9a6c\u5c14\u53ef\u592b\u8fc7\u7a0b\u4e3a\u6a21\u578b\u7684\u9884\u6d4b\uff0c\u5176\u5b9e\u662f\u843d\u5b9e\u5230\u8f6c\u79fb\u77e9\u9635\u7684\u8fd0\u7b97\u4e0a\u3002\u540c\u7406\uff0c\u57fa\u4e8e\u65cb\u8f6c\u5f02\u6784\u6001\u5047\u8bbe\u5bf9\u771f\u5b9e\u94fe\u8fdb\u884c\u79bb\u6563\u5316\u63cf\u8ff0\u540e\uff0c\u6709\u671b\u901a\u8fc7\u8ba1\u7b97\u673a\uff0c\u7ed9\u5b9a\u5316\u5b66\u5f0f\uff0c\u9884\u6d4b\u51fa\u94fe\u7edf\u8ba1\u7ed3\u679c\u2014\u2014\u8fd9\u5c06\u8fdb\u4e00\u6b65\u7528\u4e8e\u9884\u6d4b\u805a\u5408\u7269\u6750\u6599\u7684\u8bb8\u591a\u6027\u8d28\u3002\u8fd9\u65e0\u7591\u662f\u4ee4\u4eba\u5174\u594b\u7684\u3002\u4f46\u662f\u4f5c\u4e3a\u4e00\u95e8\u79d1\u5b66\uff0c\u8fd9\u4e00\u5047\u8bbe\u662f\u5426\u7b26\u5408\u5b9e\u9645\uff0c\u9700\u8981\u5b9e\u9a8c\u9a8c\u8bc1\u3002\u800c\u5b9e\u9a8c\u7684\u53ef\u9a8c\u8bc1\u6027\u7406\u8bba\uff0c\u662f\u4efb\u4f55\u4e00\u9879\u7406\u8bba\u5de5\u4f5c\u7684\u201c\u53e6\u591650%\u52aa\u529b\u201d\u3002Volkenstein\u539f\u4e66\u603b\u7ed3\u4e86\u5927\u91cf\u53ef\u80fd\u7528\u4e8e\u9a8c\u8bc1\u8fd9\u4e00\u7406\u8bba\u7684\u5b9e\u9a8c\u65b9\u6cd5\u2014\u2014\u5305\u62ec\u5076\u6781\u77e9\u6d4b\u91cf\u3001\u5149\u6563\u5c04\u3001Kerr\u6548\u5e94\u7b49\u3002\u4f46\u662f\u8fd9\u4e9b\u5b9e\u9a8c\u65b9\u6cd5\u4e0e\u65cb\u8f6c\u5f02\u6784\u6001\u5047\u8bbe\u6b63\u786e\u6027\u7684\u8054\u7cfb\uff0c\u4f9d\u7136\u85cf\u5728\u590d\u6742\u800c\u95f4\u63a5\u7684\u6570\u91cf\u5173\u7cfb\u4ee5\u53ca\u66f4\u591a\u5b9e\u9a8c\u5047\u5b9a\uff08\u6bd4\u5982valence-optical scheme\uff09\u4e4b\u4e0b\u3002 \u4ece\u4eca\u5929\u7684\u89d2\u5ea6\u770b\uff0c\u9ad8\u5206\u5b50\u7269\u7406\u7406\u8bba\u7684\u53d1\u5c55\u4e0e\u6db2\u4f53\u7269\u7406\u7684\u53d1\u5c55\u82e5\u4e0d\u80fd\u8bf4\u662f\u540c\u65f6\u7684\uff0c\u5219\u524d\u8005\u751a\u81f3\u8d85\u524d\u4e8e\u540e\u8005\u3002\u56e0\u6b64\uff0c\u6210\u529f\u7684\u9ad8\u5206\u5b50\u7269\u7406\u5b66\u5bb6\uff0c\u514d\u4e0d\u4e86\u8981\u5728\u6db2\u4f53\u7269\u7406\u95ee\u9898\u4e0a\u6709\u5148\u950b\u5f0f\u7684\u6b63\u786e\u8ba4\u8bc6\u3002\u8fd9\u5728Flory\u7684Principles in Polymer Chemistry\u4e00\u4e66\u4e2d\u662f\u6709\u6240\u4f53\u73b0\u7684\u3002\u4f8b\u5982\u5728\u6eb6\u6db2\u70ed\u529b\u5b66\u7684\u683c\u5b50\u7edf\u8ba1\u90e8\u5206\uff0cFlory\u201c\u5570\u55e6\u201d\u4e86\u4e00\u6bb5\u8bdd\uff08p. 497 sec. 1a\u7684\u7b2c2\u81ea\u7136\u6bb5\uff09\uff0c\u5b9e\u9645\u4e0a\u9053\u51fa\u4e86\u6db2\u4f53\u7684\u5f84\u5411\u5206\u5e03\u51fd\u6570\u6982\u5ff5\uff01\u53cd\u4e4b\uff0cVolkenstein\u7684\u539f\u4e66\uff0c\u53cd\u6620\u4e86\u524d\u82cf\u8054\u79d1\u5b66\u5bb6\u5728\u0412\u0430\u043b\u0435\u043d\u0442\u0438\u043d \u0410\u043b\u0435\u043a\u0441\u0435\u0435\u0432\u0438\u0447 \u041a\u0430\u0440\u0433\u0438\u043d\uff08V. A. Kargin\uff09\u5173\u4e8e\u6db2\u6001\u7684\u843d\u540e\u8ba4\u8bc6\u7684\u5f71\u54cd\u3002\u5728Kargin\u5f53\u9886\u5bfc\u7684\u671f\u95f4\uff0c\u8fd9\u4e9b\u89c2\u70b9\u662f\u7528\u6765\u5bf9\u6297\u6765\u81ea\u7f8e\u56fd\u540c\u884c\u7684\u4e0d\u540c\u89c2\u70b9\u7684\u3002\u0418\u043b\u044c\u044f\u0301 \u041c\u0438\u0445\u0430\u0301\u0439\u043b\u043e\u0432\u0438\u0447 \u041b\u0438\u0301\u0444\u0448\u0438\u0446\uff08I. M. Lifshitz\uff09\u7684\u66f4\u52a0\u6b63\u786e\u7684\u9ad8\u5206\u5b50\u7269\u7406\u89c2\u70b9\uff081968\u5e74\uff09\u88ab\u63a8\u8fdf\u5230\u65af\u5927\u6797\u65f6\u4ee3\u4e4b\u540e\u624d\u4e3a\u4eba\u6240\u77e5\u3002\u56e0\u6b64\uff0c\u4eca\u5929\u518d\u60f3\u4e86\u89e3\u8fd9\u90e8\u5206\u5185\u5bb9\uff0c\u5e94\u8be5\u76f4\u63a5\u770bFlory\u7684\u8457\u4f5c\u3002Flory\u7684\u8457\u4f5c\u5305\u62ec\u4e86\u4ed6\u672c\u4eba\u548c\u540e\u671f\u7684\u51e0\u4e2a\u540c\u4e8b\u548c\u5b66\u751f\uff1aJ. Mark\u3001A. Abe\u3001R. Jernigan\u3001A. Tonelli\u7684\u540e\u7eed\u5de5\u4f5c\uff1b\u4ed6\u4eec\u53d1\u8868\u4e86\u540c\u4e00\u7269\u7406\u91cf\u7684\u7406\u8bba\u8ba1\u7b97\u548c\u5b9e\u9a8c\u6d4b\u91cf\u7ed3\u679c\u6bd4\u8f83\uff0c\u5341\u5206\u5b8c\u7f8e\u7684\u5370\u8bc1\u4e86Volkenstein\u94fe\u7edf\u8ba1\u7406\u8bba\u7684\u6210\u529f\uff0c\u6bd4\u5982\u4ee5\u4e0b\u8457\u540d\u63d2\u56fe\u3002 \u7528Monte Carlo\u6a21\u62df\u751f\u6210\u7684\u7acb\u4f53\u5f02\u6784\u65e0\u89c4\u94fe\u7279\u5f81\u6bd4\uff0c\u4e0e\u7406\u8bba\u8ba1\u7b97\u7279\u5f81\u6bd4\u7684\u6bd4\u8f83\u56fe","rel":"","context":"In 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Neil\u7684\u7406\u8bba\u6709\u673a\u5316\u5b66\uff0c\u4ee5\u53ca\u4e00\u672c\u73b0\u5728\u6211\u5fd8\u8bb0\u4f5c\u8005\u7684\u6709\u673a\u5408\u6210\u3002\u5f53\u65f6\u6211\u80fd\u627e\u5230\u7684\u5916\u6587\u6559\u6750\u9009\u62e9\u662f\u5f88\u6709\u9650\u7684\uff0c\u5f88\u591a\u540e\u6765\u77e5\u9053\u7684\u7ecf\u5178\u6559\u6750\uff0c\u4e66\u5e97\u4e0d\u662f\u6ca1\u5f97\u5356\u5c31\u662f\u53ea\u6709\u5f88\u8d35\u7684\u5f71\u5370\u7248\uff0c\u800c\u56fe\u4e66\u9986\u5f80\u5f80\u662f\u9605\u89c8\u5ba4\u6709\u90a3\u4e48\u4e00\u672c\uff0c\u80fd\u501f\u51fa\u6765\u7684\u5f00\u67b6\u4e66\u5e93\u662f\u6ca1\u6709\u7684\u3002\u6240\u4ee5\u6211\u6700\u7ec8\u62ff\u6765\u770b\u7684\u6559\u6750\u540e\u6765\u624d\u4e86\u89e3\u5230\u5e76\u975e\u662f\u5bb9\u6613\u8bfb\u7684\uff0c\u4f46\u5f53\u65f6\u6211\u90fd\u5174\u81f4\u52c3\u52c3\u5730\uff08\u4e5f\u4f3c\u61c2\u975e\u61c2\u5730\uff09\u5543\u4e86\u4e0b\u6765\uff0c\u4e8b\u5b9e\u4e0a\u8fd9\u4e9b\u4e66\u5bf9\u6211\u5b9e\u9645\u7684\u5b9e\u9a8c\u5e76\u6ca1\u6709\u76f4\u63a5\u7684\u5e2e\u52a9\u3002\u7855\u58eb\u671f\u95f4\u5f88\u957f\u4e00\u6bb5\u65f6\u95f4\u91cc\uff0c\u6211\u5c31\u50cf\u662f\u6765\u8fd9\u4e2a\u5b66\u6821\u8bfb\u4e66\u7684\uff0c\u4e0d\u662f\u6765\u505a\u5b9e\u9a8c\u7684\u3002 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Chemistry\u3002\u4ece\u8fd9\u672c\u4e66\u91cc\u6211\u9996\u6b21\u63a5\u89e6\u5230\u201c\u6b63\u89c4\u7684\u5316\u5b66\u5b9e\u9a8c\u5ba4\u201d\u7684\u65b9\u65b9\u9762\u9762\uff0c\u5e76\u5c3d\u53ef\u80fd\u7684\u5728\u6211\u8eab\u8fb9\u7684\u73af\u5883\u4e2d\u5b9e\u73b0\u3002\u6211\u4e5f\u662f\u5728\u8fd9\u672c\u4e66\u4e0a\u77e5\u9053\u201c\u5347\u534e\u201d\u8fd9\u79cd\u7eaf\u5316\u65b9\u6cd5\u5177\u4f53\u600e\u4e48\u505a\u3002\u901a\u8fc7\u5347\u5316\u6211\u7684\u5355\u4f53\u7279\u522b\u7eaf\uff0c\u53c8\u52a0\u4e0a\u6309\u8fd9\u672c\u4e66\u63a8\u8350\u7684\u505a\u6cd5\u642d\u7684\u65e0\u6c34\u65e0\u6c27\u53cd\u5e94\u5668\uff0c\u6211\u7855\u58eb\u671f\u95f4\u505a\u7684\u5d4c\u6bb5\u5171\u805a\u7269\u8fd8\u662f\u6bd4\u8f83\u6210\u529f\u7684\u3002\u8fd9\u4e00\u70b9\u4f7f\u5f97\u6211\u867d\u7136\u6ca1\u6709\u5b9e\u73b0\u6211\u6240\u8bf4\u7684\u6240\u8c13\u201c\u73af\u7cca\u7cbe\u5305\u5408\u7269\u201d\uff0c\u4f46\u662f\u5374\u5f97\u5230\u4e86\u4e00\u7cfb\u5217\u5206\u5b50\u91cf\u548c\u5d4c\u6bb5\u7ec4\u6210\u7684\u7a84\u5206\u5e03\u6837\u54c1\u3002\u5728\u7855\u58eb\u7684\u6700\u540e\u4e00\u5e74\u91cc\uff0c\u56e0\u4e3a\u5b9e\u9a8c\u5de5\u4f5c\u91cf\u6709\u70b9\u4e0d\u8db3\uff0c\u6211\u5c31\u53bb\u62ff\u6211\u8fd9\u4e9b\u6837\u54c1\u505a\u4e86\u4e00\u5806DSC\u51d1\u6570\u636e\u3002 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Neils\u7684\u7269\u7406\u6709\u673a\u5316\u5b66\u65f6\uff0c\u6211\u5c31\u61c2\u5f97\u53bb\u56fe\u4e66\u9986\u67e5\u7eb8\u7248\u4e86\uff0c\u6240\u4ee5\u7b97\u662f\u4eb2\u773c\u770b\u8fc7\u201cLewis\u78b1\u201d\u7684\u90a3\u4e00\u4f4dLewis\u3001\u201cBr\u00f8nsted\u9178\u201d\u7684\u90a3\u4f4dBr\u00f8nsted\u7684\u539f\u59cb\u8bba\u6587\u3002\u8fd9\u4e9b\u539f\u59cb\u8bba\u6587\u5bf9\u6211\u89e6\u52a8\u5f88\u5927\uff0c\u6211\u611f\u89c9\u6211\u6e3a\u5c0f\u7684\u4e2a\u4f53\u8ddf\u4eba\u7c7b\u7684\u5386\u53f2\u8054\u7cfb\u4e86\u8d77\u6765\u3002\u81f3\u4e8e\u7855\u58eb\u6bd5\u8bbe\u671f\u95f4\u770b\u5230\u7684Flory\u7b49\u4eba\u7684\u8bba\u6587\u6548\u679c\u5219\u5f88\u5b9e\u9645\uff0c\u4e0d\u4ec5\u8ba9\u6211\u53c8\u75af\u72c2\u5730\u91cd\u65b0\u7ffb\u8d77\u4e86\u300a\u7269\u7406\u5316\u5b66\u300b\u8bfe\u672c\u4e2d\u5173\u4e8e\u70ed\u529b\u5b66\u7684\u53ef\u601c\u7684\u90a3\u51e0\u9875\uff08\u8fd8\u987a\u5e26\u53d1\u73b0\u4e86\u80e1\u82f1\u7248\u4e2d\u7684\u4e00\u4e2a\u5c0f\u9519\u8bef\uff09\uff0c\u8fd8\u8ba9\u6211\u9996\u6b21\u77e5\u9053\u4e86\u7269\u7406\u4e0a\uff08\u5177\u4f53\u5c31\u662f\u70ed\u529b\u5b66\uff09\u7684\u8ba8\u8bba\u8303\u5f0f\uff0c\u5373\u60f3\u8981\u4ece\u7406\u8bba\u4e0a\u7814\u7a76\u4e00\u4e2a\u95ee\u9898\u7684\u51fa\u53d1\u70b9\u3001\u89c2\u70b9\u3002\u6211\u4e0d\u4ec5\u770b\u4e86\u5173\u4e8e\u5d4c\u6bb5\u76f8\u5bb9\u6027\u7684\u70ed\u529b\u5b66\uff0c\u8fd8\u770b\u4e86\u5927\u91cf\u5173\u4e8e\u6eb6\u6db2\u4e2d\u5f62\u6210\u80f6\u675f\u7684\u70ed\u529b\u5b66\u7684\u5185\u5bb9\u3002 \u5177\u4f53\u5bf9\u4e8e\u6211\u505a\u7684\u8fd9\u4e00\u5806DSC\u6570\u636e\uff0c\u6211\u770b\u4e86R. Scott\u6839\u636eFLory-Huggins\u4f3c\u6676\u683c\u6a21\u578b\u5bfc\u51fa\u7684\u4e8c\u7ec4\u5206\u805a\u5408\u7269\u6df7\u5408\u4f53\u7cfb\u7684\u6df7\u5408\u81ea\u7531\u80fd\u8868\u8fbe\u5f0f\uff08J. Chem. Phys. 1949, 17:279\uff09\uff0c\u4ee5\u53caT. Nishi\u7b49\u5411\u6db2\u56fa\u4e24\u76f8\u5171\u5b58\u7684\u63a8\u5e7f\uff08Macromolecules 1975, 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