{"id":5988,"date":"2014-04-21T01:59:48","date_gmt":"2014-04-20T17:59:48","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=5988"},"modified":"2014-04-21T01:59:48","modified_gmt":"2014-04-20T17:59:48","slug":"%e9%ab%98%e5%88%86%e5%ad%90%e7%9a%84%e6%ba%b6%e8%a7%a3%e8%bf%87%e7%a8%8b","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5988","title":{"rendered":"\u9ad8\u5206\u5b50\u7684\u6eb6\u89e3\u8fc7\u7a0b"},"content":{"rendered":"
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WIllIamS\u00a020:55:21<\/div>\n<\/div>\n
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WIllIamS\u00a021:39:31<\/div>\n<\/div>\n
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WIllIamS\u00a022:59:20<\/div>\n<\/div>\n
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WIllIamS\u00a023:05:53<\/div>\n<\/div>\n
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2.\u00a0\u6269\u6563\u3002\u8868\u9762\u4e00\u4e9b\u5df2\u7ecf\u6eb6\u80c0\u5230\u4e00\u5b9a\u7a0b\u5ea6\u7684\u90e8\u5206\u6837\u54c1\u5206\u5b50\u94fe\u8131\u79bb\u672c\u4f53\u5411\u6eb6\u5242\u76f8\u6269\u6563\u3002\u8fd9\u662f\u4e00\u4e2a\u6574\u94fe\u8fd0\u52a8\u3002\u5728\u5b66\u9ad8\u5206\u5b50\u7684\u5206\u5b50\u8fd0\u52a8\u65f6\u8bb2\u5230\u8fc7\uff0c\u94fe\u6bb5\u7684\u8fd0\u52a8\u6bd4\u8f83\u5feb\uff0c\u53ef\u4ee5\u4e0e\u5c0f\u5206\u5b50\u76f8\u5f53\uff0c\u5176\u6b21\u5c31\u662f\u591a\u4e2a\u94fe\u6bb5\u534f\u540c\u8fd0\u52a8\u7531\u4e8e\u88ab\u7ed1\u5728\u4e00\u8d77\u6240\u4ee5\u6162\u5f97\u591a\uff0c\u6700\u6162\u662f\u6574\u94fe\u8fd0\u52a8\u3002\u53ef\u4ee5\u5dee\u5230\u4e24\u4e09\u4e2a\u6570\u91cf\u7ea7\u3002<\/div>\n<\/td>\n<\/tr>\n
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WIllIamS\u00a023:18:50<\/div>\n<\/div>\n
\u5b66\u4e60\u4e86\u3002<\/div>\n<\/td>\n<\/tr>\n
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WIllIamS\u00a023:20:14<\/div>\n<\/div>\n
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WIllIamS\u00a023:23:41<\/div>\n<\/div>\n
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WIllIamS\u00a023:32:02<\/div>\n<\/div>\n
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\n
\n
WIllIamS\u00a023:32:59<\/div>\n<\/div>\n
\u6ca1<\/div>\n<\/td>\n<\/tr>\n
\n
\n
WIllIamS\u00a023:33:30<\/div>\n<\/div>\n
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\n
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\n
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\u7fd4\u54e5\u00a023:35:33<\/div>\n<\/div>\n
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\n
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\u7fd4\u54e5\u00a023:35:51<\/div>\n<\/div>\n
\u5149\u9760\u8003\u8bd5\u8c01\u90fd\u4f1a\u5fd8\u3002<\/div>\n<\/td>\n<\/tr>\n
\n
\n
WIllIamS\u00a023:38:29<\/div>\n<\/div>\n
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\n
\n
\u7fd4\u54e5\u00a023:39:39<\/div>\n<\/div>\n
\u5bf9\u3002<\/div>\n<\/td>\n<\/tr>\n
\n
\n
\u7fd4\u54e5\u00a023:39:52<\/div>\n<\/div>\n
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\n
\n
\u7fd4\u54e5\u00a023:40:15<\/div>\n<\/div>\n
\u6ca1\u5fc5\u8981\u4e0d\u8981\u72c2\u526a\u5c31\u662f\u4e86\u3002<\/div>\n<\/td>\n<\/tr>\n
\n
\n
WIllIamS\u00a023:45:56<\/div>\n<\/div>\n
\u660e\u767d\u3002<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

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Fowler\u63d0\u51fa\u5927\u4e00\u70b9\u7684\u5206\u5b50\u53ef\u4ee5\u8003\u8651\u5360\u4e24\u4e2a\u683c\u5b50\u3002\u4ed6\u548cG. Rushbrook\u53d1\u8868\u7684\u8fd9\u79cd\u8ba1\u7b97\u7ed3\u679c\u8bc1\u5b9e\u4e86\u8fd9\u4ef6\u4e8b\u3002\u4ec5\u4ec5\u4f5c\u51fa\u8fd9\u4e00\u5c0f\u6b65\u7684\u63a8\u5e7f\uff0c\u6570\u5b66\u63a8\u5bfc\u7684\u96be\u5ea6\u5c31\u5927\u589e\u3002\u539f\u6587\u53ea\u8ba8\u8bba\u4e86$N_1\\ll N_2$\u6216$N_1\\gg N_2$\u7684\u60c5\u51b5\u3002H. Bethe\u63d0\u51fa\u4e86\u4e00\u79cd\u65b9\u6cd5\uff0c\u73b0\u5728\u79f0\u4e3aBethe--Peierls\u8fd1\u4f3c\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u8003\u8651\u4e8c\u4f53\u76f8\u5173\u6027\u4e0b\u7684\u6784\u5f62\u6570\uff0c\u5373\u53ef\u5f97\u5230\u6982\u7387$p_{ij},\\quad i,j=A,B$\u3002\u8fd9\u4e2a\u65b9\u6cd5\u8fc5\u901f\u88ab\u5f20\u5b97\u71e7\u548cA. Miller\u7b49\u7528\u4e8e\u8003\u8651\u5927\u5206\u5b50\u6eb6\u8d28\u7684\u683c\u5b50\u6a21\u578b\uff0c\u4ece\u4e8c\u805a\u4f53\u3001\u4e09\u805a\u4f53\u4e00\u76f4\u63a8\u5e7f\u5230\u4e00\u822c\u7684$r$\u805a\u4f53\u3002\u8fd9\u4e24\u4e2a\u4eba\u9760Bethe\u65b9\u6cd5\u5199\u4e0b\u6784\u5f62\u6570\uff0c\u5f97\u5230\u65e0\u70ed\u6eb6\u6db2\u7684\u6df7\u5408\u71b5\u53d8\u90e8\u5206\u3002W. Orr\u8fdb\u4e00\u6b65\u628aBethe\u8fd1\u4f3c\u4e0b\u7684\u6df7\u5408\u7113\u4e5f\u5199\u51fa\u6765\u4e86\u3002E. Guggenheim\u7528\u53e6\u4e00\u79cd\u66f4\u4f18\u96c5\u7684\u65b9\u6cd5\uff0c\u5f97\u51fa\u4e86\u8ddf\u7528Bethe\u65b9\u6cd5\u4e00\u6837\u7684\u7ed3\u679c\uff0c\u5e76\u8bc1\u660e\u4e24\u79cd\u65b9\u6cd5\u662f\u7b49\u4ef7\u7684\u3002\u8fd9\u4e9b\u6765\u81ea\u82f1\u56fd\uff08\u548c\u6211\u56fd\u5f20\u5b97\u71e7\u5728\u82f1\u56fd\u7559\u5b66\u65f6\uff09\u7684\u8d21\u732e\uff0c\u57fa\u672c\u7cfb\u7edf\u6027\u5730\u7ec8\u7ed3\u4e86\u805a\u5408\u7269\u6eb6\u6db2\u70ed\u529b\u5b66\u7684\u683c\u5b50\u7406\u8bba\u5de5\u4f5c\u3002\u53ef\u4ee5\u53c2\u8003A. Miller\u548cE. Guggenheim\u7684\u4e24\u672c\u4e66\uff1a A. Miller (1948), The Theory of Solutions of High Polymers, Clarendon E. Guggenheim (1952), Mixtures, Clarendon\u4e5f\u53ef\u4ee5\u53c2\u8003H. Tompa\u7684\u4e66\uff1a H. Tompa (1956), Polymer Solutions, Butterworths \u8fd9\u4e2aH. Tompa\u4e5f\u662f\u503c\u5f97\u4e00\u8bf4\u7684\uff0c\u4f46\u6211\u53ef\u80fd\u8981\u5c06\u5728\u53e6\u4e00\u7bc7\u6587\u7ae0\u91cc\u8bb2\u3002 \u6211\u4eec\u4eca\u5929\u6240\u719f\u77e5\u7684Flory--Huggins\u5c5e\u4e8e\u540c\u65f6\u671f\u7f8e\u56fd\u4eba\u7684\u5de5\u4f5c\u3002\u6211\u4e4b\u524d\u7684\u6587\u7ae0\u63d0\u5230\uff0c\u662fM. Huggins\u7a0d\u5fae\u6bd4P. Flory\u65e9\u51e0\u4e2a\u6708\u5f00\u59cb\u63a8\u5bfc\u9ad8\u5206\u5b50\u6eb6\u6db2\u7684\u683c\u5b50\u6a21\u578b\uff0c\u4f3c\u4e4e\u8fd9\u79cd\u540c\u65f6\u6027\u662f\u5de7\u5408\uff0c\u4f46\u5176\u5b9eFlory\u8fd9\u4e2a\u505a\u6cd5\u662f\u53d7\u5fb7\u56fd\u5316\u5b66\u5bb6K. Meyer\u7684\u5efa\u8bae\u505a\u7684\u3002K. Meyer\u548cH. Mark\u5408\u8457\u4e86\u4e16\u754c\u4e0a\u7b2c\u4e00\u672c\u9ad8\u5206\u5b50\u79d1\u5b66\u7684\u6559\u79d1\u4e66\u3002 \u503c\u5f97\u5f3a\u8c03\u7684\u662f\uff0c\u4eca\u5929\u7684Flory--Huggins\u5f62\u5f0f\uff0c\u662fGuggenheim\u4e00\u822c\u5f62\u5f0f\u4e2d\u914d\u4f4d\u6570$z\\to\\infty$\u7684\u7279\u6b8a\u7ed3\u679c\uff0c\u6240\u4ee5\u8868\u8fbe\u5f0f\u4e2d\u4e0d\u663e\u542b$z$\uff08\u4ea4\u6362\u71b5\u53d8\u90e8\u5206\u4e0d\u542b$z$\uff0c\u7113\u53d8\u5bf9$z$\u7684\u4f9d\u8d56\u6027\u5305\u5728\u201c\u76f8\u4e92\u4f5c\u7528\u53c2\u6570\u201d $\\chi$ \u7684\u5b9a\u4e49\u4e2d\u4e86\uff09\u3002\u54ea\u6015\u662f\u9650\u4e8e\u5bfc\u51faFlory--Huggins\u7684\u4ea4\u6362\u71b5\u5f62\u5f0f\uff0c\u4e5f\u6709\u4e0d\u540c\u7684\u6570\u683c\u5b50\u65b9\u6cd5\u3002\u4eca\u5929\u8bb8\u591a\u4e2d\u6587\u9ad8\u5206\u5b50\u7269\u7406\u6559\u79d1\u4e66\u4e0a\u7684\u6570\u6cd5\uff0c\u5c31\u8ddfFlory\u5728\u81ea\u5df1\u7684\u4e66\u4e2d\u7684\u6570\u6cd5\u6709\u70b9\u4e0d\u540c\uff0c\u4f46\u90fd\u7528\u4e0d\u540c\u7684\u8fd1\u4f3c\u4e3b\u5f20\u51d1\u51fa\u4e86\u76f8\u540c\u7684\u6700\u540e\u7ed3\u679c\u3002\u5176\u4e2d\u4e00\u79cd\u5199\u6cd5\u9700\u8981\u8bf4\u201c\u5047\u5b9a\u2026","rel":"","context":"In "\u4e2a\u4eba\u6587\u96c6"","block_context":{"text":"\u4e2a\u4eba\u6587\u96c6","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/featured"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":9288,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9288","url_meta":{"origin":5988,"position":1},"title":"regular\/ordinary","author":"Andrew","date":"2025\u5e7410\u670818\u65e5","format":"aside","excerpt":"\u5728\u6211\u7684\u9886\u57df\uff0c\u6709\u4e00\u4e2a\u6211\u4ece\u521d\u5b66\u5230\u73b0\u5728\u4e00\u76f4\u5341\u5206\u4e0d\u9002\u7684\u4e00\u4e2a\u8bcd\uff1aregular solution\u3002 regular\u82f1\u8bed\u5e94\u8be5\u662f\u6309\u4e8b\u7269\u4ee5\u5f80\u7684\u5468\u671f\u53d1\u751f\u7684\u610f\u601d\uff0c\u4f46\u7f8e\u56fd\u4eba\u628a\u5b83\u7528\u4f5cordinary\uff08\u5e73\u51e1\uff09\u4e4b\u4e49\u3002\u6240\u8c13\u5e73\u51e1\u662f\u8981\u8ddf\u201c\u7279\u6b8a\u201d\u3001\u201c\u795e\u5723\u201d\u3001\u201c\u9ad8\u8d35\u201d\u3001\u201c\u7406\u60f3\u201d\u4e4b\u7c7b\u7684\u8bcd\u76f8\u5bf9\u7acb\u3002\u4e0d\u4fe1\u7684\u53ef\u4ee5\u67e5\u4e00\u4e0b\u725b\u6d25\u8bcd\u5178\u3002 Me: I \u2018d like a cup of milk please.Server: We have chocolate, strawberry, vanilla. Which would you like sir?Me: I'd like a cup of ordinary milk please.Server: We don't have that flavor, we only have chocolate etc.Me: No, I'd like a cup of the white stuff that\u2026","rel":"","context":"In "\u4ee5tag\u5206\u7c7b\u7684\u6587\u7ae0"","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":7864,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/7864","url_meta":{"origin":5988,"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 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\u4f46\u662f\u5230\u5927\u7ea61970\u5e74\u524d\u540e\uff0c\u8d8a\u6765\u8d8a\u591a\u73b0\u8c61\u63d0\u793a\uff1a\u5373\u4f7f\u628a\u6eb6\u5242\u8c03\u5230theta\u6761\u4ef6\uff0c\u6eb6\u6db2\u7c98\u5ea6\u6d4b\u5230\u7684\u201c\u65e0\u6270\u5c3a\u5bf8\u201d\u4ecd\u53ef\u80fd\u968f\u6eb6\u5242\u800c\u53d8\uff0c\u8fd9\u7b49\u4e8e\u5728\u63d0\u9192\u6211\u4eec\u2014\u2014\u6eb6\u5242\u5e76\u975e\u53ea\u662f\u628a\u6392\u65a5\u4f53\u79ef\u6548\u5e94\u201c\u5173\u6389\u201d\uff0c\u5b83\u8fd8\u53ef\u80fd\u901a\u8fc7\u5f71\u54cd\u94fe\u7684\u5185\u65cb\u8f6c\u52bf\u80fd\u5206\u5e03\u800c\u6539\u53d8\u6784\u8c61\u7edf\u8ba1\u3002 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\u5728\u8fd9\u79cd\u80cc\u666f\u4e0b\uff0cFlory\u76f8\u4fe1\u7194\u4f53\u4e2d\u7684\u94fe\u53ef\u80fd\u6700\u63a5\u8fd1\u4ed6\u6240\u8bf4\u7684\u65e0\u6270\u94fe\uff0c\u56e0\u6b64\u5f53\u5c0f\u89d2\u4e2d\u5b50\u6563\u5c04\uff08SANS\uff09\u6280\u672f\u521a\u51fa\u73b0\u65f6\uff0c\u4ed6\u5f88\u79ef\u6781\u5730\u63a8\u52a8\u5927\u5bb6\u53bb\u505a\u9ad8\u5206\u5b50\u7194\u4f53\u5b9e\u9a8c\uff0c\u7528\u6765\u68c0\u9a8c\u4ed6\u5728\u4e66\u4e2d\u4e0e\u8bba\u6587\u91cc\u7ed9\u51fa\u7684\u9884\u6d4b\u3002 \u8fd9\u7c7b\u5b9e\u9a8c\u7684\u5173\u952e\u6280\u5de7\u4e4b\u4e00\uff0c\u662f\u628a\u5c11\u91cf\u6c18\u5316\u94fe\u63ba\u5230\u672a\u6c18\u5316\u7684\u57fa\u4f53\u4e2d\uff0c\u5229\u7528\u6c22\/\u6c18\u5728\u4e2d\u5b50\u6563\u5c04\u622a\u9762\u4e0a\u7684\u5de8\u5927\u5dee\u5f02\uff0c\u4ece\u800c\u5728\u201c\u7ed3\u6784\u4e0a\u51e0\u4e4e\u4e0d\u6539\u53d8\u4f53\u7cfb\u201d\u7684\u524d\u63d0\u4e0b\u628a\u5355\u94fe\u4fe1\u53f7\u201c\u663e\u5f71\u201d\u51fa\u6765\uff0c\u8fdb\u800c\u63d0\u53d6\u5747\u65b9\u56de\u8f6c\u534a\u5f84\u7b49\u91cf\u3002 \u5728\u6ca1\u6709SANS\u4e4b\u524d\uff0c\u786e\u5b9e\u7f3a\u5c11\u8fd9\u6837\u76f4\u63a5\u3001\u5e72\u51c0\u5730\u5728\u51dd\u805a\u76f8\u91cc\u770b\u5355\u94fe\u7edf\u8ba1\u5c3a\u5bf8\u7684\u529e\u6cd5\u3002 \u4f46\u5b9e\u9a8c\u5e76\u6ca1\u6709\u628a\u4e8b\u60c5\u7b80\u5355\u5316\uff1a\u67d0\u4e9b\u6781\u6027\u805a\u5408\u7269\u7684\u7194\u4f53\u7ed3\u679c\u4e0e\u7406\u8bba\u9884\u6d4b\u5dee\u5f97\u5f88\u8fdc\uff0c\u751a\u81f3\u4e5f\u4e0e theta \u6eb6\u6db2\u7684\u7ed3\u679c\u5dee\u5f88\u8fdc\u3002 \u8fd9\u7c7b\u73b0\u8c61\u88ab\u79f0\u4e3a\u201c\u51dd\u805a\u76f8\u6548\u5e94\u201d\uff08condensed phase effect\uff09\uff1a\u94fe\u95f4\u76f8\u4e92\u4f5c\u7528\u4f1a\u8ba9\u7194\u4f53\u4e2d\u7684\u94fe\u6784\u8c61\u52bf\u80fd\u5206\u5e03\u4e0d\u540c\u4e8e\u201c\u5b64\u7acb\u5355\u94fe\u201d\u7684\u5206\u5e03\u3002 \u4e5f\u6b63\u56e0\u5982\u6b64\uff0c\u628a\u5355\u94fe\u7406\u8bba\u76f4\u63a5\u642c\u5230\u591a\u94fe\u7194\u4f53\u4e0a\uff0c\u6709\u65f6\u53ea\u80fd\u7b97\u662f\u4e00\u79cd phantom chain \/ polymer gas \u7684\u8fd1\u4f3c\u3002 Flory\u5728\u65af\u5766\u798f\u4e4b\u540e\u66f4\u96c6\u4e2d\u5730\u505a\u94fe\u6784\u8c61\u7edf\u8ba1\u3002\u4ed6\u5927\u91cf\u505a RIS \u8ba1\u7b97\u5927\u6982\u4e3b\u8981\u57281970\u5e74\u4e4b\u524d\u3002\u4ed6\u7684\u91cd\u8981\u8457\u4f5c\u300aStatistical Mechanics of Chain Molecules\u300b\u57281969\u5e74\u51fa\u7248\uff0c\u8fd9\u672c\u4e66\u91cc\u5f88\u591a\u63a8\u5bfc\u4e0e\u7ed3\u679c\u5e26\u6709\u201c\u624b\u7b97\u65f6\u4ee3\u201d\u7684\u75d5\u8ff9\uff0c\u56e0\u6b64\u5bf9\u66f4\u9ad8\u9636\u76f8\u5173\u7684\u5904\u7406\u4f1a\u53d7\u5230\u9650\u5236\uff1b\u540e\u6765\u5927\u5bb6\u8f6c\u5411\u7535\u5b50\u8ba1\u7b97\uff0c\u5f88\u591a\u52a8\u529b\u6765\u81ea\u4e8e\u60f3\u628a\u9ad8\u9636\u76f8\u5173\u7cfb\u7edf\u5316\u7b97\u51fa\u6765\u3002\u572820\u4e16\u7eaa60\u5e74\u4ee3\u672b\u81f370\u5e74\u4ee3\u521d\uff0c\u4ed6\u5229\u7528\u65af\u5766\u798f\u5927\u5b66\u7684IBM\u5927\u578b\u8ba1\u7b97\u673a\u4e2d\u5fc3\uff08\u8be5\u4e2d\u5fc3\u56e0\u7f8e\u56fd\u767b\u6708\u8ba1\u5212\u7684\u9700\u6c42\u800c\u5174\u8d77\u6c11\u7528\uff09\uff0c\u6210\u4e3a\u9996\u6279\u5c06\u7535\u5b50\u8ba1\u7b97\u673a\u7528\u4e8e\u79d1\u5b66\u7814\u7a76\u7684\u7814\u7a76\u8005\u4e4b\u4e00\u3002RIS\u8ba1\u7b97\u9700\u8981\u5173\u4e8e\u4e0d\u540c\u6784\u5f62\u4e0b\u4fa7\u57fa-\u4fa7\u57fa\u76f8\u4e92\u4f5c\u7528\u52bf\u7684\u8f93\u5165\uff0c\u624b\u7b97\u7684\u8bdd\uff0c\u53ea\u80fd\u628a\u6cbf\u94fe\u592a\u8fdc\u7684\u76f8\u4e92\u4f5c\u7528\u5ffd\u7565\u6389\uff0c\u5927\u6982\u53ea\u6709\u4e8c\u9636\u76f8\u5173\u7684\u7ed3\u679c\uff1b\u4f7f\u7528\u8ba1\u7b97\u673a\u5c31\u662f\u4e3a\u4e86\u7b97\u9ad8\u9636\u76f8\u5173\uff0c\u540e\u6765\u53d1\u73b0\u8fd9\u5bf9\u6781\u6027\u9ad8\u5206\u5b50\u6765\u8bf4\u662f\u4e0d\u53ef\u5ffd\u7565\u7684\u3002\u539f\u5b50\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u52bf\u6570\u636e\uff0c\u539f\u672c\u4e5f\u662f\u534a\u7ecf\u9a8c\u4f30\u7b97\u7684\uff1b\u518d\u5f80\u540e\uff0c\u91cf\u5b50\u5316\u5b66\u7b2c\u4e00\u6027\u539f\u7406\u65b9\u6cd5\u9010\u6e10\u6210\u719f\uff0c\u624d\u4f7f\u5f97\u201c\u76f8\u4e92\u4f5c\u7528\u52bf\u4ece\u5934\u7b97\u201d\u6210\u4e3a\u53ef\u80fd\uff0c\u8fd9\u662fFlory\u5f53\u5e74\u672a\u5fc5\u6765\u5f97\u53ca\u4eb2\u773c\u770b\u5230\u7684\u6f14\u8fdb\u3002 \u5f17\u6d1b\u91cc\u5c06\u9ad8\u5206\u5b50\u94fe\u7edf\u8ba1\u7269\u7406\u8fd9\u6761\u7814\u7a76\u8def\u7ebf\u4e00\u76f4\u63a8\u52a8\u5230\u4ed61985\u5e74\u53bb\u4e16\u3002\u8fd9\u6761\u8def\u7ebf\u4e0e\u540e\u6765\u76ae\u57c3\u5c14-\u5409\u52d2\u00b7\u5fb7\u70ed\u7eb3\uff08Pierre-Gilles de Gennes\uff09\u53d1\u5c55\u7684\u6807\u5ea6\u7406\u8bba\u662f\u5e76\u884c\u7684\u3001\u4e0d\u540c\u7684\u8def\u5f84\u3002\u8bb8\u591a\u573a\u5408\u4eba\u4eec\u559c\u6b22\u7528\u4e00\u79cd\u8bdd\u672f\u53d9\u8ff0\u5386\u53f2\uff1a\u201cFlory\u9884\u6d4bA\uff0c\u4f46\u6807\u5ea6\u7406\u8bba\u9884\u6d4bB\uff0c\u5b9e\u9a8c\u53d1\u73b0de Gennes\u5bf9\u201d\uff0c\u8fd9\u4f1a\u8ba9\u4e0d\u719f\u6089\u7684\u4eba\u8bef\u4ee5\u4e3a\u662f\u524d\u8005\u88ab\u540e\u8005\u5168\u9762\u63a8\u7ffb\u3002\u5728\u6211\u770b\u6765\uff0cde Gennes\u4e0e 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