{"id":2980,"date":"2011-05-18T16:36:06","date_gmt":"2011-05-18T08:36:06","guid":{"rendered":"http:\/\/www.andrewsun.net\/panta_rhei\/?p=2980"},"modified":"2011-05-19T16:21:52","modified_gmt":"2011-05-19T08:21:52","slug":"%e7%ac%ac%e4%ba%8c%e5%a4%a9%e4%ba%a4%e6%b5%81%e7%9a%84%e5%86%85%e5%ae%b9kit","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/2980","title":{"rendered":"\u7b2c\u4e8c\u5929\u4ea4\u6d41\u7684\u5185\u5bb9@KIT"},"content":{"rendered":"
\n

Q<\/em>\u53c2\u6570\u7684\u7269\u7406\u610f\u4e49<\/strong><\/h3>\n

\u4e0a\u5348\u4e00\u4e2a\u6765\u81ea\u5370\u5ea6\u7684\u5b66\u751fDeepak Ahirwal\u5411\u6211\u4ecb\u7ecd\u4ed6\u7684\u5de5\u4f5c\u3002\u5173\u6ce8LAOS\u7814\u7a76\u7684\u8bdd\u5e94\u8be5\u4f1a\u77e5\u9053medium amplitude oscillatory shear\uff08MAOS\uff09\u548cQ<\/em>\u53c2\u6570\uff08Macromolecules<\/em>, 2009<\/strong>, 42<\/em>, 411-422\uff09\u3002MAOS\u7684Q<\/em>\u53c2\u6570\u662f\u57fa\u4e8eI<\/em>3\/1<\/sub> ~ \u03b3<\/em>0<\/sub>m<\/sup><\/em>\u8fd9\u4e00\u73b0\u8c61\u800c\u63d0\u51fa\u7684\u3002\u5bf9\u805a\u5408\u7269\u7194\u4f53\u7684\u5b9e\u9a8c\u53d1\u73b0\u5bf9\u4e8e\u7ebf\u578b\u805a\u5408\u7269m<\/em> = 2\uff0c\u5bf9\u652f\u5316\u805a\u5408\u7269m<\/em> < 2\u3002\u6700\u8fd1Wagner (J. Rheol.<\/em>, 2011<\/strong>, 55<\/em>, 495-516.)\u901a\u8fc7\u86c7\u884c\u7406\u8bba\u7684\u6a21\u578b\u7814\u7a76\u4e86Q<\/em>\u53c2\u6570\u7684\u610f\u4e49\u3002\u53d1\u73b0\u4ec5\u4ec5\u662f\u7b80\u5355\u7684Doi-Edwards\u9884\u6d4b\u7684Q<\/em>\u5728\u9ad8\u9891\u533a\u4e0e\u5b9e\u9a8c\u7ed3\u679c\u6709\u5b9a\u6027\u4e0a\u7684\u4e0d\u540c\uff0c\u52a0\u5165\u4e86CCR\u56e0\u7d20\uff08McLeish\uff09\u4e4b\u540e\uff0c\u6240\u9884\u6d4b\u7684Q<\/em>\u5728\u6574\u4e2a\u9891\u7387\u8303\u56f4\u5185\u7684\u66f2\u7ebf\u5f62\u72b6\u5c31\u8ddf\u5b9e\u9a8c\u89c2\u5bdf\u7684\u7ed3\u679c\u5b9a\u6027\u7b26\u5408\u3002\u4e8e\u662f\u901a\u8fc7\u5bf9\u5b9e\u9a8cQ<\/em>\u66f2\u7ebf\u7684\u62df\u5408\u5c31\u53ef\u4ee5\u5f97\u5230\u76f8\u5e94\u6a21\u578b\u7684\u53c2\u6570\uff0c\u5373\u8868\u5f81CCR\u7684\u7a0b\u5ea6\u3002<\/p>\n

Deepak Ahirwal\u5177\u4f53\u7814\u7a76\u7684\u662f\u5206\u5b50\u91cf\u5206\u5e03\u7684\u5f71\u54cd\uff0c\u628a\u4e24\u79cd\u5206\u5b50\u91cf\u7684\u7ebf\u6027PS\u6df7\u5408\u5728\u4e00\u8d77\uff0c\u53ea\u6709\u5f53\u5206\u5b50\u91cf\u5dee\u522b\u5f88\u5927\u7684\u65f6\u5019\u624d\u80fd\u5728\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u9891\u7387\u8c31\u4e2d\u533a\u5206\u5f00\u6765\uff08\u597d\u50cf\u662fWanatabe\u7684\u5de5\u4f5c\uff09\uff0c\u4f46\u4ecd\u7136\u6709\u4e9b\u60c5\u51b5\u662f\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u5b9e\u9a8c\u65b9\u6cd5\u68c0\u6d4b\u4e0d\u4e86\u4e24\u79cd\u5206\u5b50\u91cf\u7684\u5b58\u5728\u3002\u8fd9\u65f6\u5728MAOS\u6761\u4ef6\u4e0b\uff0c\u901a\u8fc7Q<\/em>\u53c2\u6570\u5c31\u53ef\u4ee5\u770b\u5230\u3002\u800c\u4e14\u901a\u8fc7\u4e0a\u8ff0\u5bf9Q<\/em>\u7684\u7269\u7406\u610f\u4e49\u7684\u7406\u89e3\uff0c\u53ef\u77e5\u5728MAOS\u6761\u4ef6\u4e0b\uff0c\u4e0d\u540c\u5206\u5b50\u91cf\u7684\u7ec4\u5206\u7684\u5dee\u522b\u5728\u4e8eCCR\u3002<\/p>\n

\u4eceWagner\u548cDeepak Ahirwal\u7684\u7814\u7a76\u53ef\u770b\u51fa\u5bf9\u4e8e\u4e00\u4e2a\u4ece\u5b9e\u9a8c\u7ecf\u9a8c\u4e2d\u63d0\u51fa\u7684\u65b0\u53c2\u6570\uff0c\u9700\u8981\u5148\u7528\u5df2\u6709\u7684\u7269\u7406\u6a21\u578b\u8fdb\u884c\u6a21\u62df\u9884\u6d4b\uff0c\u4ee5\u4fbf\u7406\u89e3\u5176\u7269\u7406\u610f\u4e49\u3002\u8fd9\u6837\u5173\u4e8e\u8fd9\u4e2a\u53c2\u6570\u7684\u4e0b\u4e00\u6b65\u5e94\u7528\u4e5f\u5c31\u80fd\u6709\u7684\u653e\u77e2\u3002<\/p>\n

\u6211\u662f\u505acolloid\u4f53\u7cfb\u7684\uff0c\u56e0\u6b64\u5c31\u9700\u8981\u627e\u76f8\u5173\u7684colloid\u7684\u6a21\u578b\u6765\u5206\u6790\u4e00\u4e0bQ<\/em>\u53c2\u6570\u5230\u5e95\u662f\u5565\u3002<\/p>\n

\u5851\u6599\u548c\u6a61\u80f6\u7684LAOS<\/h3>\n

\u4e2d\u5348\u662fC. Klein\u3001Ms Weiland\u548c\u6211\u4e09\u4e2a\u4eba\u4e00\u8d77\u53bb\u5403\u7684\u5348\u996d\u3002\u5348\u996d\u540eC. Klein\u5e26\u6211\u53bb\u673a\u68b0\u5de5\u7a0b\u7cfb\uff0cProf. Whilhelm\u6709\u4e00\u90e8\u5206\u4eea\u5668\u653e\u5728\u90a3\u91cc\u3002\u5728\u90a3\u91cc\u7684\u5b9e\u9a8c\u4e3b\u8981\u662f\u9ad8\u8f6c\u77e9\u7684\u65cb\u8f6c\u6d41\u53d8\u4eea\uff0c\u7528\u6765\u6d4b\u8bd5\u6a61\u80f6\u751a\u81f3\u5851\u6599\u7684\u526a\u5207\u5f62\u53d8\u3002\u7531\u4e8e\u8fd9\u4e9b\u6750\u6599\u521a\u5ea6\u6bd4\u8f83\u5927\uff0c\u6240\u4ee5\u4e3a\u4e86\u907f\u514d\u6ed1\u79fb\uff0c\u5728\u6837\u54c1\u4e0a\u4e0b\u677f\u7684\u8868\u9762\u5e72\u8106\u5212\u4e86\u597d\u591a\u9053\u7684\u5751\uff0c\u6837\u54c1\u5728\u4e0a\u4e0b\u677f\u4e2d\u6210\u578b\uff0c\u7136\u540e\u5c31\u88ab\u8fd9\u4e9b\u5751\u5361\u6b7b\u4e86\u3002\u4e3a\u4e86\u505aLAOS\u800c\u4e0d\u53d1\u751ffracture\uff0c\u5b9e\u9a8c\u90fd\u662f\u5728\u9ad8\u538b\u6761\u4ef6\u4e0b\u8fdb\u884c\u7684\uff082 ~ 8 bar\uff09\u3002\u8fd9\u79cd\u6761\u4ef6\u5728\u5b9e\u9645\u4e2d\u7684\u610f\u4e49\u5c31\u662f\u4f8b\u5982\u649e\u8f66\u3001\u8f6e\u8239\u7b49\u3002\u5728\u90a3\u91cc\u6211\u770b\u5230\u4e86\u4e00\u4e2a\u9ad8\u4e2a\u5b50\u5b66\u751fMahdi Abbasi\u3002\u5f53\u521d\u662f\u4ed6\u5728seminar\u4e0a\u4ecb\u7ecd\u6211\u7684\u6587\u7ae0\u7684\u3002<\/p>\n

\u5d4c\u6bb5\u5171\u805a\u7269\u76f8\u5206\u79bb\u548c\u526a\u5207\u53d6\u5411\u8fc7\u7a0b<\/h3>\n

\u4e0b\u5348Alicia Malek\u5411\u6211\u4ecb\u7ecd\u5979\u7684\u5de5\u4f5c\u3002\u5979\u662f\u5408\u6210PS-PLLA\u5d4c\u6bb5\u5171\u805a\u7269\u7684\u3002\u5e0c\u671b\u83b7\u5f97lamellar\u7684morphology\uff0c\u7136\u540e\u62ff\u53bb\u505aLAOS\u3002\u4f46\u662f\u4e00\u5f00\u59cb\u5979\u7684PS\u662f\u80fd\u8fc7\u4e00\u822c\u7684\u81ea\u7531\u57fa\u805a\u5408\u5236\u5907\u7684\u6240\u4ee5\u5206\u5b50\u91cf\u5206\u5e03\u592a\u5927\uff0c\u5171\u805a\u4e4b\u540e\u5c31\u770b\u4e0d\u5230\u4ec0\u4e48\u5c42\u72b6\u7ed3\u6784\u3002\u540e\u6765\u4ed6\u7528ATRP\u505a\uff0c\u5c31\u884c\u4e86\u3002PS-PLLA\u6837\u54c1\u5728LAOS\u4e0b\u5c42\u53e0\u76f8\u5206\u79bb\u7ed3\u6784\u968f\u526a\u5207\u65b9\u5411\u53d6\u5411\uff0c\u9700\u8981\u4e00\u5b9a\u7684\u65f6\u95f4\u3002\u5728\u6b64\u65f6\u95f4\u5185\u53ef\u4ee5\u89c2\u5bdf\u5230I<\/em>3\/1<\/sub>\u968f\u65f6\u95f4\u5448\u6307\u6570\u5f0f\u4e0b\u964d\u3002\u8fd9\u4e2a\u5de5\u4f5c\u7684\u5957\u8def\u5176\u5b9e\u662f\u6309\u7167Macromol. Chem. Phys.<\/em>, 2007<\/strong>, 208<\/em>, 1719-1729\u6765\u505a\u7684\u3002\u7531\u4e8e\u6211\u7855\u58eb\u7684\u65f6\u5019\u662f\u505aPEO-PLLA\u5171\u805a\u7684\u56e0\u6b64\u6211\u548c\u5979\u8ba8\u8bba\u4e86\u5f88\u591a\u5173\u4e8e\u5408\u6210\u548c\u7ed3\u6676\u5ea6\u8868\u5f81\u7684\u95ee\u9898\uff0c\u4e5f\u7ed9\u5979\u63d0\u4e86\u4e00\u4e9b\u5efa\u8bae\u3002<\/p>\n

\u5176\u4ed6<\/strong><\/p>\n

\u4e0b\u5348\u6211\u53c8\u89c1\u5230\u4e86Prof. Whilhelm\uff0c\u8fd9\u662f\u9996\u6b21\u89c1\u9762\u3002\u4ed6\u7684\u4e00\u4e2a\u4e3b\u8981\u7684\u610f\u601d\u5c31\u662f\u5e0c\u671b\u6211\u80fd\u544a\u8bc9\u4ed6\u6211\u60f3\u7528LAOS\u6765\u505a\u4ec0\u4e48\uff0c\u7136\u540e\u8ddf\u4ed6\u4eec\u5408\u4f5c\u6765\u505a\uff0c\u4e00\u8d77\u53d1\u6587\u7ae0\u3002\u4e8e\u662f\u6211\u8bf4\u6211\u660e\u767d\uff0c\u5e76\u4f1ashare as much as possible\u3002<\/p>\n

\u4e0b\u5348\u6211\u4f7f\u7528\u4e86\u4ed6\u4eec\u7684ARES LS2\u548cLabView\u8f6f\u4ef6\u6765\u505a\u4e86\u4e00\u4e9b\u5b9e\u9a8c\u3002\u4ed6\u4eec\u597d\u50cf\u5f88\u5173\u5fc3\u6211\u8981\u4e0d\u8981\u81ea\u5df1\u7528\u4e00\u4e0b\u90a3\u53f0\u4eea\u5668\u3002\u4ed6\u4eec\u89c9\u5f97\u6211\u662f\u8fc7\u6765\u5b66\u4e60\u7684\u3002\u4f46\u5176\u5b9e\u6211\u4e0d\u89c9\u5f97\u9700\u8981\u53bb\u7b80\u5355\u5730\u5b66\u4e60\u64cd\u4f5c\u4eea\u5668\uff0c\u6211\u5e0c\u671b\u80fd\u5728\u8fd9\u91cc\u8bd5\u7528\u6211\u7684MATLAB\u7a0b\u5e8f\u3002\u53ef\u60dc\u6211\u7684\u7a0b\u5e8f\u53c8\u6709\u4e00\u4e9bbug\u9700\u8981\u5904\u7406\u3002\u800c\u4e14\u4ed6\u4eec\u4e5f\u6ca1\u6709\u4ec0\u4e48\u6837\u54c1\u662f\u5177\u6709\u65f6\u95f4\u4f9d\u8d56\u6027\u7684\u3002\u4eca\u5929\u8bf4\u767d\u4e86\u6211\u5c31\u5e94\u4ed8\u6027\u7684\u7528\u4e86\u4e00\u4e0b\u4ed6\u4eec\u7684ARES\uff0c\u4e0d\u60f3\u4ed6\u4eec\u89c9\u5f97\u6211\u8fc7\u6765\u90fd\u4e0d\u613f\u610f\u5b66\u4e60\u3002<\/p>\n

\u4e8b\u5b9e\u4e0a\u8fd9\u6b21\u4f7f\u7528\u7684\u4e00\u4e2a\u6536\u83b7\u5c31\u662f\u53c2\u8003\u4e86\u4ed6\u4eec\u7684LabView\u8f6f\u4ef6\u7684\u7528\u6237\u754c\u9762\u8bbe\u8ba1\u548cworkflow\u7684\u8bbe\u8ba1\u3002\u8bf4\u5b9e\u5728\u7684\uff0c\u6211\u539f\u672c\u8111\u5b50\u91cc\u7684\u60f3\u6cd5\u5c31\u662f\u6765\u5077\u5e08\u3002\u6211\u539f\u672c\u662f\u6253\u7b97\u81ea\u5df1\u5199MATLAB\u7a0b\u5e8f\u6765\u5904\u7406LAOS\u6570\u636e\u7684\u3002\u4f46\u73b0\u5728\u542c\u8bf4Whilhelm\u5e0c\u671b\u6211\u53d1\u7528\u5230LAOS\u7684\u6587\u7ae0\u90fd\u8981\u8ddf\u4ed6\u4eec\u5408\u4f5c\uff0c\u90a3\u6211\u4e5f\u4e0d\u597d\u610f\u601d\u660e\u786e\u8868\u660e\u8ddf\u4ed6\u4eec\u201c\u5206\u5ead\u6297\u793c\u201d\u3002\u800c\u4e14\u4e5f\u786e\u5b9e\uff0c\u4eba\u5bb6\u5df2\u7ecf\u82b1\u529f\u592b\u5199\u597d\u7a0b\u5e8f\u4e86\uff0c\u6211\u518d\u53bb\u5199\u5c31\u91cd\u590d\u52b3\u52a8\u3002\u53ea\u662f\u4e0d\u77e5\u9053\u4ed6\u4eec\u613f\u4e0d\u613f\u610f\u9001\u7ed9\u6211\u3002\u5982\u679c\u8981\u82b1\u94b1\u4e70\uff0c\u90a3\u6211\u53ef\u80fd\u4e5f\u4e0d\u4f1a\u4e70\uff0c\u8fd8\u662f\u56de\u53bb\u81ea\u5df1\u5199\u5f97\u4e86\u3002\u8fd9\u4e8b\u5f97\u5148\u8ddf\u5bfc\u5e08\u5546\u91cf\u4e00\u4e0b\u3002\u4e5f\u8bb8\u6211\u7684\u60f3\u6cd5\u9053\u5fb7\u5f88\u4f4e\u4e0b\u5fc3\u7075\u5f88\u4e11\u964b\u3002<\/p>\n

\u665a\u4e0a\u662f\u53bb\u6211\u65c5\u9986\u9644\u8fd1\u4e00\u5bb6\u53ebLifta\u00df\u65c5\u9986\uff0c\u8fd9\u662fKathrin\u548cChristopher\u4ecb\u7ecd\u7684\u3002\u5473\u9053\u679c\u7136\u4e0d\u9519\uff0c\u53ea\u662f\u4efd\u91cf\u5927\u4e86\u70b9\u3002\u6211\u4eca\u5929\u70b9\u7684\u662f\u4e00\u4e2a\u4ec0\u4e48noodle\uff0c\u4eca\u540e\u51e0\u5929\u6211\u5e72\u8106\u90fd\u6765\u8fd9\u91cc\u5403\u665a\u996d\u4e86\u3002<\/p>\n

\"05172011068\" <\/a> <\/div> <\/div>
\"05172011069\" <\/a> <\/div>
\"05172011070\" <\/a> <\/div> <\/div>
\"05172011071\" <\/a> <\/div> <\/div> <\/div>
\"05172011072\" <\/a> <\/div> <\/div>
\"05172011073\" <\/a> <\/div> <\/div> <\/div> <\/div>\n

 <\/p>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

Q\u53c2\u6570\u7684\u7269\u7406\u610f\u4e49 \u4e0a\u5348\u4e00\u4e2a\u6765\u81ea\u5370\u5ea6\u7684\u5b66\u751fDeepak Ahirwal\u5411\u6211\u4ecb\u7ecd\u4ed6\u7684\u5de5\u4f5c\u3002\u5173\u6ce8LAOS\u7814\u7a76\u7684\u8bdd\u5e94\u8be5\u4f1a\u77e5\u9053medium amplitude oscillatory shear\uff08MAOS\uff09\u548cQ\u53c2\u6570\uff08Macromolecules, 2009, 42, 411-422\uff09\u3002MAOS\u7684Q\u53c2\u6570\u662f\u57fa\u4e8eI3\/1 ~ \u03b30m\u8fd9\u4e00\u73b0\u8c61\u800c\u63d0\u51fa\u7684\u3002\u5bf9\u805a\u5408\u7269\u7194\u4f53\u7684\u5b9e\u9a8c\u53d1\u73b0\u5bf9\u4e8e\u7ebf\u578b\u805a\u5408\u7269m = 2\uff0c\u5bf9\u652f\u5316\u805a\u5408\u7269m < 2\u3002\u6700\u8fd1Wagner (J. Rheol., 2011, 55, 495-516.)\u901a\u8fc7\u86c7\u884c\u7406\u8bba\u7684\u6a21\u578b\u7814\u7a76\u4e86Q\u53c2\u6570\u7684\u610f\u4e49\u3002\u53d1\u73b0\u4ec5\u4ec5\u662f\u7b80\u5355\u7684Doi-Edwards\u9884\u6d4b\u7684Q\u5728\u9ad8\u9891\u533a\u4e0e\u5b9e\u9a8c\u7ed3\u679c\u6709\u5b9a\u6027\u4e0a\u7684\u4e0d\u540c\uff0c\u52a0\u5165\u4e86CCR\u56e0\u7d20\uff08McLeish\uff09\u4e4b\u540e\uff0c\u6240\u9884\u6d4b\u7684Q\u5728\u6574\u4e2a\u9891\u7387\u8303\u56f4\u5185\u7684\u66f2\u7ebf\u5f62\u72b6\u5c31\u8ddf\u5b9e\u9a8c\u89c2\u5bdf\u7684\u7ed3\u679c\u5b9a\u6027\u7b26\u5408\u3002\u4e8e\u662f\u901a\u8fc7\u5bf9\u5b9e\u9a8cQ\u66f2\u7ebf\u7684\u62df\u5408\u5c31\u53ef\u4ee5\u5f97\u5230\u76f8\u5e94\u6a21\u578b\u7684\u53c2\u6570\uff0c\u5373\u8868\u5f81CCR\u7684\u7a0b\u5ea6\u3002 Deepak Ahirwal\u5177\u4f53\u7814\u7a76\u7684\u662f\u5206\u5b50\u91cf\u5206\u5e03\u7684\u5f71\u54cd\uff0c\u628a\u4e24\u79cd\u5206\u5b50\u91cf\u7684\u7ebf\u6027PS\u6df7\u5408\u5728\u4e00\u8d77\uff0c\u53ea\u6709\u5f53\u5206\u5b50\u91cf\u5dee\u522b\u5f88\u5927\u7684\u65f6\u5019\u624d\u80fd\u5728\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u9891\u7387\u8c31\u4e2d\u533a\u5206\u5f00\u6765\uff08\u597d\u50cf\u662fWanatabe\u7684\u5de5\u4f5c\uff09\uff0c\u4f46\u4ecd\u7136\u6709\u4e9b\u60c5\u51b5\u662f\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u5b9e\u9a8c\u65b9\u6cd5\u68c0\u6d4b\u4e0d\u4e86\u4e24\u79cd\u5206\u5b50\u91cf\u7684\u5b58\u5728\u3002\u8fd9\u65f6\u5728MAOS\u6761\u4ef6\u4e0b\uff0c\u901a\u8fc7Q\u53c2\u6570\u5c31\u53ef\u4ee5\u770b\u5230\u3002\u800c\u4e14\u901a\u8fc7\u4e0a\u8ff0\u5bf9Q\u7684\u7269\u7406\u610f\u4e49\u7684\u7406\u89e3\uff0c\u53ef\u77e5\u5728MAOS\u6761\u4ef6\u4e0b\uff0c\u4e0d\u540c\u5206\u5b50\u91cf\u7684\u7ec4\u5206\u7684\u5dee\u522b\u5728\u4e8eCCR\u3002 \u4eceWagner\u548cDeepak Ahirwal\u7684\u7814\u7a76\u53ef\u770b\u51fa\u5bf9\u4e8e\u4e00\u4e2a\u4ece\u5b9e\u9a8c\u7ecf\u9a8c\u4e2d\u63d0\u51fa\u7684\u65b0\u53c2\u6570\uff0c\u9700\u8981\u5148\u7528\u5df2\u6709\u7684\u7269\u7406\u6a21\u578b\u8fdb\u884c\u6a21\u62df\u9884\u6d4b\uff0c\u4ee5\u4fbf\u7406\u89e3\u5176\u7269\u7406\u610f\u4e49\u3002\u8fd9\u6837\u5173\u4e8e\u8fd9\u4e2a\u53c2\u6570\u7684\u4e0b\u4e00\u6b65\u5e94\u7528\u4e5f\u5c31\u80fd\u6709\u7684\u653e\u77e2\u3002 \u6211\u662f\u505acolloid\u4f53\u7cfb\u7684\uff0c\u56e0\u6b64\u5c31\u9700\u8981\u627e\u76f8\u5173\u7684colloid\u7684\u6a21\u578b\u6765\u5206\u6790\u4e00\u4e0bQ\u53c2\u6570\u5230\u5e95\u662f\u5565\u3002 \u5851\u6599\u548c\u6a61\u80f6\u7684LAOS \u4e2d\u5348\u662fC. Klein\u3001Ms Weiland\u548c\u6211\u4e09\u4e2a\u4eba\u4e00\u8d77\u53bb\u5403\u7684\u5348\u996d\u3002\u5348\u996d\u540eC. Klein\u5e26\u6211\u53bb\u673a\u68b0\u5de5\u7a0b\u7cfb\uff0cProf. Whilhelm\u6709\u4e00\u90e8\u5206\u4eea\u5668\u653e\u5728\u90a3\u91cc\u3002\u5728\u90a3\u91cc\u7684\u5b9e\u9a8c\u4e3b\u8981\u662f\u9ad8\u8f6c\u77e9\u7684\u65cb\u8f6c\u6d41\u53d8\u4eea\uff0c\u7528\u6765\u6d4b\u8bd5\u6a61\u80f6\u751a\u81f3\u5851\u6599\u7684\u526a\u5207\u5f62\u53d8\u3002\u7531\u4e8e\u8fd9\u4e9b\u6750\u6599\u521a\u5ea6\u6bd4\u8f83\u5927\uff0c\u6240\u4ee5\u4e3a\u4e86\u907f\u514d\u6ed1\u79fb\uff0c\u5728\u6837\u54c1\u4e0a\u4e0b\u677f\u7684\u8868\u9762\u5e72\u8106\u5212\u4e86\u597d\u591a\u9053\u7684\u5751\uff0c\u6837\u54c1\u5728\u4e0a\u4e0b\u677f\u4e2d\u6210\u578b\uff0c\u7136\u540e\u5c31\u88ab\u8fd9\u4e9b\u5751\u5361\u6b7b\u4e86\u3002\u4e3a\u4e86\u505aLAOS\u800c\u4e0d\u53d1\u751ffracture\uff0c\u5b9e\u9a8c\u90fd\u662f\u5728\u9ad8\u538b\u6761\u4ef6\u4e0b\u8fdb\u884c\u7684\uff082 ~ 8 bar\uff09\u3002\u8fd9\u79cd\u6761\u4ef6\u5728\u5b9e\u9645\u4e2d\u7684\u610f\u4e49\u5c31\u662f\u4f8b\u5982\u649e\u8f66\u3001\u8f6e\u8239\u7b49\u3002\u5728\u90a3\u91cc\u6211\u770b\u5230\u4e86\u4e00\u4e2a\u9ad8\u4e2a\u5b50\u5b66\u751fMahdi Abbasi\u3002\u5f53\u521d\u662f\u4ed6\u5728seminar\u4e0a\u4ecb\u7ecd\u6211\u7684\u6587\u7ae0\u7684\u3002 \u5d4c\u6bb5\u5171\u805a\u7269\u76f8\u5206\u79bb\u548c\u526a\u5207\u53d6\u5411\u8fc7\u7a0b \u4e0b\u5348Alicia Malek\u5411\u6211\u4ecb\u7ecd\u5979\u7684\u5de5\u4f5c\u3002\u5979\u662f\u5408\u6210PS-PLLA\u5d4c\u6bb5\u5171\u805a\u7269\u7684\u3002\u5e0c\u671b\u83b7\u5f97lamellar\u7684morphology\uff0c\u7136\u540e\u62ff\u53bb\u505aLAOS\u3002\u4f46\u662f\u4e00\u5f00\u59cb\u5979\u7684PS\u662f\u80fd\u8fc7\u4e00\u822c\u7684\u81ea\u7531\u57fa\u805a\u5408\u5236\u5907\u7684\u6240\u4ee5\u5206\u5b50\u91cf\u5206\u5e03\u592a\u5927\uff0c\u5171\u805a\u4e4b\u540e\u5c31\u770b\u4e0d\u5230\u4ec0\u4e48\u5c42\u72b6\u7ed3\u6784\u3002\u540e\u6765\u4ed6\u7528ATRP\u505a\uff0c\u5c31\u884c\u4e86\u3002PS-PLLA\u6837\u54c1\u5728LAOS\u4e0b\u5c42\u53e0\u76f8\u5206\u79bb\u7ed3\u6784\u968f\u526a\u5207\u65b9\u5411\u53d6\u5411\uff0c\u9700\u8981\u4e00\u5b9a\u7684\u65f6\u95f4\u3002\u5728\u6b64\u65f6\u95f4\u5185\u53ef\u4ee5\u89c2\u5bdf\u5230I3\/1\u968f\u65f6\u95f4\u5448\u6307\u6570\u5f0f\u4e0b\u964d\u3002\u8fd9\u4e2a\u5de5\u4f5c\u7684\u5957\u8def\u5176\u5b9e\u662f\u6309\u7167Macromol. Chem. Phys., 2007, 208, 1719-1729\u6765\u505a\u7684\u3002\u7531\u4e8e\u6211\u7855\u58eb\u7684\u65f6\u5019\u662f\u505aPEO-PLLA\u5171\u805a\u7684\u56e0\u6b64\u6211\u548c\u5979\u8ba8\u8bba\u4e86\u5f88\u591a\u5173\u4e8e\u5408\u6210\u548c\u7ed3\u6676\u5ea6\u8868\u5f81\u7684\u95ee\u9898\uff0c\u4e5f\u7ed9\u5979\u63d0\u4e86\u4e00\u4e9b\u5efa\u8bae\u3002 \u5176\u4ed6 \u4e0b\u5348\u6211\u53c8\u89c1\u5230\u4e86Prof. Whilhelm\uff0c\u8fd9\u662f\u9996\u6b21\u89c1\u9762\u3002\u4ed6\u7684\u4e00\u4e2a\u4e3b\u8981\u7684\u610f\u601d\u5c31\u662f\u5e0c\u671b\u6211\u80fd\u544a\u8bc9\u4ed6\u6211\u60f3\u7528LAOS\u6765\u505a\u4ec0\u4e48\uff0c\u7136\u540e\u8ddf\u4ed6\u4eec\u5408\u4f5c\u6765\u505a\uff0c\u4e00\u8d77\u53d1\u6587\u7ae0\u3002\u4e8e\u662f\u6211\u8bf4\u6211\u660e\u767d\uff0c\u5e76\u4f1ashare as much as possible\u3002 \u4e0b\u5348\u6211\u4f7f\u7528\u4e86\u4ed6\u4eec\u7684ARES LS2\u548cLabView\u8f6f\u4ef6\u6765\u505a\u4e86\u4e00\u4e9b\u5b9e\u9a8c\u3002\u4ed6\u4eec\u597d\u50cf\u5f88\u5173\u5fc3\u6211\u8981\u4e0d\u8981\u81ea\u5df1\u7528\u4e00\u4e0b\u90a3\u53f0\u4eea\u5668\u3002\u4ed6\u4eec\u89c9\u5f97\u6211\u662f\u8fc7\u6765\u5b66\u4e60\u7684\u3002\u4f46\u5176\u5b9e\u6211\u4e0d\u89c9\u5f97\u9700\u8981\u53bb\u7b80\u5355\u5730\u5b66\u4e60\u64cd\u4f5c\u4eea\u5668\uff0c\u6211\u5e0c\u671b\u80fd\u5728\u8fd9\u91cc\u8bd5\u7528\u6211\u7684MATLAB\u7a0b\u5e8f\u3002\u53ef\u60dc\u6211\u7684\u7a0b\u5e8f\u53c8\u6709\u4e00\u4e9bbug\u9700\u8981\u5904\u7406\u3002\u800c\u4e14\u4ed6\u4eec\u4e5f\u6ca1\u6709\u4ec0\u4e48\u6837\u54c1\u662f\u5177\u6709\u65f6\u95f4\u4f9d\u8d56\u6027\u7684\u3002\u4eca\u5929\u8bf4\u767d\u4e86\u6211\u5c31\u5e94\u4ed8\u6027\u7684\u7528\u4e86\u4e00\u4e0b\u4ed6\u4eec\u7684ARES\uff0c\u4e0d\u60f3\u4ed6\u4eec\u89c9\u5f97\u6211\u8fc7\u6765\u90fd\u4e0d\u613f\u610f\u5b66\u4e60\u3002 \u4e8b\u5b9e\u4e0a\u8fd9\u6b21\u4f7f\u7528\u7684\u4e00\u4e2a\u6536\u83b7\u5c31\u662f\u53c2\u8003\u4e86\u4ed6\u4eec\u7684LabView\u8f6f\u4ef6\u7684\u7528\u6237\u754c\u9762\u8bbe\u8ba1\u548cworkflow\u7684\u8bbe\u8ba1\u3002\u8bf4\u5b9e\u5728\u7684\uff0c\u6211\u539f\u672c\u8111\u5b50\u91cc\u7684\u60f3\u6cd5\u5c31\u662f\u6765\u5077\u5e08\u3002\u6211\u539f\u672c\u662f\u6253\u7b97\u81ea\u5df1\u5199MATLAB\u7a0b\u5e8f\u6765\u5904\u7406LAOS\u6570\u636e\u7684\u3002\u4f46\u73b0\u5728\u542c\u8bf4Whilhelm\u5e0c\u671b\u6211\u53d1\u7528\u5230LAOS\u7684\u6587\u7ae0\u90fd\u8981\u8ddf\u4ed6\u4eec\u5408\u4f5c\uff0c\u90a3\u6211\u4e5f\u4e0d\u597d\u610f\u601d\u660e\u786e\u8868\u660e\u8ddf\u4ed6\u4eec\u201c\u5206\u5ead\u6297\u793c\u201d\u3002\u800c\u4e14\u4e5f\u786e\u5b9e\uff0c\u4eba\u5bb6\u5df2\u7ecf\u82b1\u529f\u592b\u5199\u597d\u7a0b\u5e8f\u4e86\uff0c\u6211\u518d\u53bb\u5199\u5c31\u91cd\u590d\u52b3\u52a8\u3002\u53ea\u662f\u4e0d\u77e5\u9053\u4ed6\u4eec\u613f\u4e0d\u613f\u610f\u9001\u7ed9\u6211\u3002\u5982\u679c\u8981\u82b1\u94b1\u4e70\uff0c\u90a3\u6211\u53ef\u80fd\u4e5f\u4e0d\u4f1a\u4e70\uff0c\u8fd8\u662f\u56de\u53bb\u81ea\u5df1\u5199\u5f97\u4e86\u3002\u8fd9\u4e8b\u5f97\u5148\u8ddf\u5bfc\u5e08\u5546\u91cf\u4e00\u4e0b\u3002\u4e5f\u8bb8\u6211\u7684\u60f3\u6cd5\u9053\u5fb7\u5f88\u4f4e\u4e0b\u5fc3\u7075\u5f88\u4e11\u964b\u3002 \u665a\u4e0a\u662f\u53bb\u6211\u65c5\u9986\u9644\u8fd1\u4e00\u5bb6\u53ebLifta\u00df\u65c5\u9986\uff0c\u8fd9\u662fKathrin\u548cChristopher\u4ecb\u7ecd\u7684\u3002\u5473\u9053\u679c\u7136\u4e0d\u9519\uff0c\u53ea\u662f\u4efd\u91cf\u5927\u4e86\u70b9\u3002\u6211\u4eca\u5929\u70b9\u7684\u662f\u4e00\u4e2a\u4ec0\u4e48noodle\uff0c\u4eca\u540e\u51e0\u5929\u6211\u5e72\u8106\u90fd\u6765\u8fd9\u91cc\u5403\u665a\u996d\u4e86\u3002 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\u8981\u56de\u7b54\u7b2c\u4e8c\u4e2a\u95ee\u9898\uff0c\u5373\u6709\u4ec0\u4e48\u6d41\u53d8\u5b66\u65b9\u6cd5\u80fd\u591f\u770b\u5230\u4f53\u7cfb\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u6211\u4eec\u5e94\u8be5\u9996\u5148\u628a\u60c5\u51b5\u7b80\u5316\u56de\u7a33\u6001\u526a\u5207\u3002\u8fb9\u8fdb\u884c\u7a33\u6001\u526a\u5207\uff0c\u8fb9\u8fdb\u884c\u677e\u5f1b\u6d4b\u8bd5\u7684\u6d41\u53d8\u5b66\u65b9\u6cd5\u662f\u6709\u7684\uff0c\u53eb\u505a\u201c\u53e0\u52a0\u6d41\u53d8\u5b66\u201d\uff0csuperposition rheology\u3002\u8fd9\u91cc\u7684superposition\u662f\u6307\u5728\u4e00\u4e2a\u7a33\u6001\u526a\u5207\u7684\u6d41\u573a\u4e0a\u53e0\u52a0\u4e00\u4e2a\u5c0f\u5e45\u632f\u8361\u7684\u6d41\u573a\u3002\u6837\u54c1\u7684\u54cd\u5e94\u53ef\u4ee5\u5206\u79bb\u6210\u7a33\u6001\u526a\u5207\u7684\u90e8\u5206\u548c\u5c0f\u5e45\u632f\u8361\u7684\u90e8\u5206\uff0c\u540e\u8005\u53ef\u4ee5\u6309\u7167\u7ebf\u6027\u54cd\u5e94\u7684\u505a\u6cd5\u5f97\u5230\u677e\u5f1b\u8c31\u3002\u4e00\u5171\u6709\u5e73\u884c\u548c\u6b63\u4ea4\u4e24\u79cd\u53e0\u52a0\u65b9\u6cd5\u3002\u6709\u62a5\u9053\u79f0\uff0c\u5e73\u884c\u53e0\u52a0\u7531\u4e8e\u8026\u5408\u7684\u56e0\u7d20\u5e76\u4e0d\u80fd\u83b7\u5f97\u771f\u6b63\u7684\u677e\u5f1b\u8c31\uff0c\u5fc5\u9762\u8981\u6b63\u4ea4\u53e0\u52a0\u7684\u624d\u53ef\u4ee5\u3002\u65e0\u8bba\u662f\u54ea\u79cd\u53e0\u52a0\uff0c\u90fd\u4e0d\u5bb9\u6613\u5728\u5546\u7528\u6d41\u53d8\u4eea\u4e0a\u5b9e\u73b0\u7684\uff0c\u9700\u8981\u8fdb\u884c\u6539\u9020\uff0c\u6240\u4ee5\u6211\u6682\u65f6\u4e0d\u80fd\u4eb2\u81ea\u505a\u8fd9\u6837\u7684\u5b9e\u9a8c\u3002\u6587\u732e\u62a5\u9053\u4e2d\u503c\u5f97\u7559\u610f\u7684\u6709\u5982\u4e0b\u8fd9\u4e9b\u3002\u5bf9\u9ad8\u5206\u5b50\u6eb6\u6db2\u505a\u4e86\u53e0\u52a0\u6d41\u53d8\u6d4b\u8bd5\uff0c\u53d1\u73b0\u6240\u5f97\u5230\u7684\u7ed3\u679c\u65e0\u6cd5\u8fdb\u884ctime-shear superposition\u3002\u5bf9\u805a\u4e59\u70ef\u7194\u4f53\u7684\u5b9e\u9a8c\u4e5f\u770b\u5230\u7c7b\u4f3c\u7684\u7ed3\u679c\u3002\u8fd9\u4e5f\u547c\u5e94\u4e86\u524d\u6587\u6240\u8bf4\u7f20\u7ed3\u4f53\u7cfb\u4e0d\u7b26\u5408SRFS\u7684\u73b0\u8c61\u3002\u80f6\u4f53\u4f53\u7cfb\u65b9\u9762\uff0c\u62a5\u9053\u4e86\u4e00\u4e9b\u672a\u53e0\u52a0\u7684\u5b9e\u9a8c\u7ed3\u679c\uff0c\u6211\u8fd8\u9700\u8981\u628a\u6587\u4e2d\u7684\u6570\u636e\u63d0\u53d6\u51fa\u6765\u5c1d\u8bd5\u53e0\u52a0\u6765\u9a8c\u8bc1\u4e00\u4e0b\u3002\u4f46\u662f\u5219\u51e0\u4e4e\u76f4\u63a5\u8bc1\u5b9e\u4e86time-shear superposition\u4e86\uff0c\u4f5c\u8005\u7ed9\u51fa\u4e86\u4e0d\u540c\u7a33\u6001\u5e94\u529b\u53e0\u52a0\u7684\u5c0f\u5e45\u626b\u9891\u66f2\u7ebf\uff0c\u5e76\u53e0\u52a0\u6210\u4e86\u4e3b\u66f2\u7ebf\uff0c\u4f46\u662f\u6ca1\u6709\u7ed9\u51fa\u76f8\u5e94\u7684\u526a\u5207\u901f\u7387\uff0c\u4e5f\u6ca1\u6709\u5bf9\u5e73\u79fb\u56e0\u5b50\u8fdb\u884c\u8ba8\u8bba\u3002\u4f46\u8fd9\u4e00\u62a5\u9053\u8bf4\u660e\uff0c\u80f6\u4f53\u4f53\u7cfb\u5728\u6d41\u53d8\u5b66\u884c\u4e3a\u4e0a\u4e5f\u662f\u7b26\u5408time-shear 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response function\uff09\uff0c\u6216\u79f0susceptibility\uff08\u03a7(t)\uff09\uff0c\u662f\u6307\u6750\u6599\u5728\u5f31\u5916\u573a\u4f5c\u7528\u4e0b\u6027\u8d28\u53d8\u5316\u3002\u5916\u573a\u5f3a\u5ea6\u5f88\u5927\u7684\u65f6\u5019\u54cd\u5e94\u51fd\u6570\u5c31\u4f1a\u663e\u793a\u51fa\u573a\u5f3a\u4f9d\u8d56\u6027\u3002\u5728\u6d41\u53d8\u5b66\u4e2d\u5916\u573a\u5c31\u662f\u526a\u5207\u5f62\u53d8\uff0c\u6240\u4ee5\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u5e76\u975e\u4ec0\u4e48\u5f88\u7279\u6b8a\u7684\u4e1c\u897f\uff0c\u65e0\u5916\u662f\u6750\u6599\u7684\u54cd\u5e94\u51fd\u6570\u663e\u793a\u5f62\u53d8\u4f9d\u8d56\u800c\u5df2\u3002\u4f8b\u5982\u201cnonlinear susceptibility\u201d\u5728\u975e\u7ebf\u6027\u5149\u5b66\u91cc\u5c31\u662f\u6307\u6781\u5316\u7387\u4e0e\u5149\u5f3a\u4e0d\u518d\u9075\u4ece\u7ebf\u6027\u89c4\u5f8b\u4e86\u800c\u5df2\uff08cf. \u975e\u7ebf\u6027\u7c98\u5f39\u6027\u5e94\u529b\u4e0e\u5e94\u53d8\u4e0d\u9075\u4ece\u7ebf\u6027\u89c4\u5f8b\uff09\u3002\u6309\u7167\u5e73\u8861\u6001\u7edf\u8ba1\u7269\u7406\u7684\u89c2\u70b9\uff0c\u7ebf\u6027\u7684susceptibility\u662f\u8ddf\u76f8\u5173\u51fd\u6570\u7d27\u5bc6\u8054\u7cfb\u7684\uff08\u662f\u524d\u540e\u662f\u540e\u8005\u7684\u79ef\u5206\uff09\uff0c\u8ddf\u7ed3\u6784\u56e0\u5b50\u6210\u6b63\u6bd4\u3002\u56e0\u6b64\uff0c\u5982\u679cnonlinear susceptibility\u4e5f\u80fd\u8ddf\u76f8\u5173\u51fd\u6570\u548c\u7ed3\u6784\u56e0\u5b50\u6709\u7c7b\u4f3c\u7684\u8054\u7cfb\uff0c\u90a3\u4e48\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u91cc\u7684\u5e94\u529b\u677e\u5f1b\u51fd\u6570G(t, \u03b3)\u5c31\u80fd\u8ddf\u7ed3\u6784\u4fe1\u606f\u76f4\u63a5\u5173\u8054\u4e86\u3002\u6700\u8fd1\u6211\u5c31\u5728\u8003\u8651\u8fd9\u4e2a\u95ee\u9898\uff0c\u4e0d\u8fc7\u6211\u7269\u7406\u57fa\u7840\u592a\u5dee\uff0c\u56e0\u6b64\u8fd9\u4e2a\u95ee\u9898\u53ea\u80fd\u8fb9\u8865\u4e60\u8fb9\u60f3\u3002\u6211\u8fde\u725b\u987f\u529b\u5b66\u5b9a\u5f8b\u7684Hamitonian\u8868\u8ff0\u90fd\u770b\u4e0d\u61c2\u554a\u770b\u4e0d\u61c2\u2026\u2026\u5ba1\u7a3f\u610f\u89c1\u8fd9\u7bc7\u6587\u7ae0\u521d\u6295\u540e\u88ab\u62d2\uff0c\u5ba1\u7a3f\u4eba\u8bf4\u8be5manuscript\u5185\u5bb9\u4e2d\u6ca1\u4ec0\u4e48\u5173\u4e8epolymer\u7684\u5185\u5bb9\uff0c\u5efa\u8bae\u6539\u6295\u6d41\u53d8\u5b66\u6216\u8005\u80f6\u4f53\u7684\u671f\u520a\u3002\u7ecf\u4fee\u6539\u540e\u91cd\u6295Polymer\uff0c\u8fd9\u56de\u8fd8\u662f\u6709\u4e2a\u5ba1\u7a3f\u4eba\u8bf4\u4e0d\u8be5\u6295\u8fd9\u513f\u5efa\u8bae\u62d2\u7a3f\uff0c\u5e78\u597d\u8fd9\u56de\u53e6\u5916\u6709\u4e24\u4e2a\u5ba1\u7a3f\u4eba\u610f\u89c1\u662f\u5c0f\u4fee\uff0c\u7f16\u8f91\u610f\u89c1\u662f\u4fee\u6539\u3002\u6700\u540e\u901a\u77e5\u6587\u7ae0\u63a5\u6536\uff0c\u9644\u4e0a\u4fee\u6539\u7a3f\u7684\u5ba1\u7a3f\u610f\u89c1\uff0c\u8fd8\u662f\u90a3\u4e2a\u5ba1\u7a3f\u4eba\uff0c\u4ed6\u7684\u610f\u89c1\u8fd8\u662f\u62d2\u7a3f\u3002\u4ed6\u6700\u540e\u4e00\u6b21\u7684\u610f\u89c1\u7528\u4e86\u4e24\u4e2aregretfully...still...\u7684\u53e5\u5b50\u3002This reviewer would like to sincerely thank the authors for their time taken to modify the manuscript and for their kindly presented further explanations. Regretfully, this reviewer still thinks that the manuscript would be better received if published in a rheology oriented journal.The authors\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":1242,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/1242","url_meta":{"origin":2980,"position":2},"title":"\u5148\u7f16\u6545\u4e8b\u540e\u505a\u5b9e\u9a8c","author":"Andrew","date":"2010\u5e747\u670812\u65e5","format":false,"excerpt":"\u6211\u7684\u6559\u8bad 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M^a$\u6765\u4f30\u7b97\u5206\u5b50\u91cf\u3002\u6587\u732e\u7684Mark\u2014Houwink\u5173\u7cfb\u4e00\u822c\u662f\u901a\u8fc7\u5bf9\u4e0d\u540c\u5206\u5b50\u91cf\u7684\u5355\u5206\u6563\u6837\u54c1\u540c\u65f6\u6d4b\u91cf\u7279\u6027\u7c98\u6570\u548c\u7edd\u5bf9\u5e73\u5747\u5206\u5b50\u91cf\uff08\u4f8b\u5982\u6e17\u900f\u538b\u5f97\u5230\u7684\u6570\u5747\u5206\u5b50\u91cf\u6216\u8005\u5149\u6563\u5c04\u5f97\u5230\u7684\u91cd\u5747\u5206\u5b50\u91cf\uff09\u6765\u7ed9\u51fa\u7684\u3002\u5f53\u7136\uff0c\u771f\u6b63\u7684\u5355\u5206\u6563\u6837\u54c1\u53ef\u4ee5\u5f53\u4f5c\u6570\u5747\u4e0e\u91cd\u5747\u65e0\u5dee\u522b\u3002\u6587\u732e\u62a5\u5bfc\u7684Mark\u2014Houwink\u5173\u7cfb\u90fd\u662f\u5728\u7279\u5b9a\u6eb6\u5242\u548c\u6e29\u5ea6\u6761\u4ef6\u4e0b\u7684\u3002\u4f60\u4e3a\u4e86\u83b7\u5f97\u5206\u5b50\u91cf\uff0c\u53ef\u4ee5\u5728\u76f8\u5e94\u7684\u6761\u4ef6\u4e0b\u6d4b\u8bd5\u5f53\u524d\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570\u7136\u540e\u5e94\u7528\u6587\u732e\u7684Mark\u2014Houwink\u53c2\u6570\u3002\u4f46\u4f60\u66f4\u9700\u8981\u7684\u5f80\u5f80\u662f\u53e6\u4e00\u79cd\u4efb\u610f\u6eb6\u5242\u6216\u6e29\u5ea6\u4e0b\u7684\u5206\u5b50\u5c3a\u5bf8\u3002\u5149\u77e5\u9053\u5206\u5b50\u91cf\u4e0d\u591f\uff0c\u8fd8\u8981\u77e5\u9053\u6269\u5f20\u6bd4$\\alpha$\u3001Flory\u6307\u6570$\\nu$\u7b49\u3002\u66f4\u9ebb\u70e6\u7684\u662f\uff0c\u627e\u4e0d\u5230Mark\u2014Houwink\u5173\u7cfb\u7684\u62a5\u9053\uff0c\u53ea\u627e\u5230\u5bf9\u5355\u4e2a\u6837\u54c1\u505a\u7684\u5149\u6563\u5c04\u6570\u636e\u3002\u8fd9\u65f6\u5c31\u9700\u8981\u57fa\u4e8e\u666e\u904d\u63a5\u53d7\u7684\uff08\u4ea6\u5373\u5ba1\u7a3f\u4eba\u4e00\u822c\u4e0d\u8d28\u7591\u7684\uff09\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u6765\u4ece\u8fd9\u4e9b\u6587\u732e\u6570\u636e\u4f30\u7b97\u5f53\u524d\u6761\u4ef6\u4e0b\u7684\u5206\u5b50\u5c3a\u5bf8\u3002 \u4e3a\u4e86\u6e05\u6670\uff0c\u6211\u4eec\u628a\u805a\u5408\u7269\u79cd\u7c7b\u7528\u5927\u5199\u82f1\u6587\u5b57\u6bcdA\u3001B\u6765\u8868\u793a\uff0c\u628a\u4e00\u5b9a\u7684\u6eb6\u5242\u548c\u6e29\u5ea6\u6761\u4ef6\u7528\u5e0c\u814a\u5b57\u6bcd\u03b8\u3001\u03b1\u3001\u03b2\u6765\u8868\u793a\uff0c\u5176\u4e2d\u03b8\u8868\u793a\u65e0\u6270\u6761\u4ef6\u3002\u8fd9\u4e9b\u90fd\u53ea\u4f1a\u7528\u4f5c\u4e0b\u6807\u3002\u4e0d\u968f\u6761\u4ef6\u53d8\u5316\u7684\u91cf\u4e0d\u6807\u5e0c\u814a\u5b57\u6bcd\u4e0b\u6807\u3002\u4e3a\u4e86\u8fdb\u4e00\u6b65\u7b80\u5316\uff0c\u5f53\u524d\u5173\u5fc3\u7684\u805a\u5408\u7269\uff0c\u5c31\u4e0d\u6807\u5b57\u6bcdA\u4e86\uff0c\u53e6\u4e00\u79cd\u805a\u5408\u7269\u624d\u4f1a\u6807B\u3002\u4f8b\u5982$\\alpha_\\alpha$\u8868\u793a\u5f53\u524d\u5173\u5fc3\u7684\u805a\u5408\u7269\u5728\u7b2c\u4e00\u79cd\u6761\u4ef6\u4e0b\uff08\u6761\u4ef6\u03b1\uff09\u7684\u6269\u5f20\u7cfb\u6570\u3002\u5c31\u7b97\u662f\u5f53\u524d\u5173\u5fc3\u7684\u9ad8\u5206\u5b50\uff0c\u6587\u732e\u4f7f\u7528\u7684\u5206\u5b50\u91cf\u8ddf\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5206\u5b50\u91cf\u662f\u4e0d\u4e00\u6837\u7684\uff0c\u6211\u4eec\u6700\u7ec8\u662f\u8981\u77e5\u9053\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf\u3002\u4e8e\u662f\uff0c\u7528\u4e00\u4e2aprime\u6765\u8868\u793a\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u3002\u4f8b\u5982$M^\\prime$\u662f\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf\uff0c$\\left[\\eta\\right]^\\prime_{\\beta}$\u662f\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u5728\u03b2\u6761\u4ef6\u4e0b\u7684\u7279\u6027\u7c98\u6570\u3002 \u9996\u5148\u9700\u8981\u4f30\u7b97\u8fd9\u79cd\u805a\u5408\u7269\u7684\u5355\u4f4d\u94fe\u957f\u8d28\u91cf$M_1$\u6216\u8005\u91cd\u590d\u5355\u5143\u957f\u5ea6$l_1$\u3002\u5b83\u4eec\u4e4b\u95f4\u6709\u5173\u7cfb$M_1=M_0\/l_1$\uff0c\u5176\u4e2d$M_0$\u662f\u91cd\u590d\u5355\u539f\u7684\u8d28\u91cf\u3002$l_1$\u4e00\u822c\u662f\u6839\u636e\u91cd\u590d\u5355\u5143\u7684\u952e\u957f\u952e\u89d2\u7b49\u51e0\u4f55\u4fe1\u606f\u4f30\u7b97\u7684\u3002\u4e0d\u7ba1\u600e\u4e48\u53bb\u4f30\u7b97\uff0c\u6700\u540e\u8981\u7528\u7684\u662f$M_1$\u3002\u4e00\u822c\u6587\u732e\u91cc\u4f1a\u6709\u4f30\u7b97\u7684\uff0c\u4e0d\u7528\u81ea\u5df1\u505a\u3002 \u4e00\u822c\u80fd\u67e5\u5230\u7684\u5149\u6563\u5c04\u5de5\u4f5c\uff0c\u90fd\u662f\u5728\u67d0\u6eb6\u5242\u548c\u6e29\u5ea6\u4e0b\uff08\u8bb0\u4e3a\u6761\u4ef6\u03b1\uff09\u505a\u4e00\u4e2aZimm\u56fe\uff0c\u53ef\u4ee5\u5f97\u5230\u6837\u54c1\u7684\uff08\u91cd\u5747\uff09\u5206\u5b50\u91cf$M$\u3001\u7b2c\u4e8c\u7ef4\u5229\u7cfb\u6570$A_{2,\\alpha)$\u548c\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle_\\alpha$\u3002\u5c31\u7b97\u8bba\u6587\u7684\u6b63\u6587\u6ca1\u6709\u7ed9\u51fa\u503c\uff0c\u53ea\u8981\u7ed9\u4e86\u6570\u636e\u56fe\uff0c\u4f60\u81ea\u5df1\u4e5f\u53ef\u4ee5\u4ece\u56fe\u4e2d\u5f97\u5230\u3002\u8fd9\u90e8\u5206\u7684\u539f\u7406\u6bd4\u8f83\u57fa\u672c\uff0c\u4e00\u822c\u7684\u9ad8\u5206\u5b50\u6eb6\u6db2\u7406\u8bba\u7684\u4e66\u7684\u8bb2\u8ff0\u4e0d\u4f1a\u6709\u4ec0\u4e48\u4ee4\u4eba\u56f0\u60d1\u7684\u5dee\u5f02\uff0c\u5c31\u4e0d\u5728\u6b64\u89e3\u91ca\u4e86\u3002\u5982\u679c\u627e\u5230\u6587\u732e\u505a\u4e86\u4e0d\u6b62\u4e00\u4e2a\u5206\u5b50\u91cf\u7684\u6837\u54c1\uff0c\u4f46\u662f\u6ca1\u6709\u6d4b\u5b83\u4eec\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\alpha$\u56e0\u6b64\u8fd8\u662f\u4e0d\u77e5\u9053Mark\u2014Houwink\u7cfb\u6570\uff0c\u90a3\u4f60\u4ecd\u7136\u53ef\u4ee5\u65b9\u4fbf\u5730\u6839\u636e$\\left\\langle S^2\\right\\rangle^{1\/2}_\\alpha\\sim M^{\\nu_\\alpha}$\u5f97\u5230\u6587\u732e\u6761\u4ef6\u4e0b\u7684$\\nu_\\alpha$\uff08\u54ea\u6015\u6587\u732e\u6ca1\u505a\u4f60\u4e5f\u53ef\u4ee5\u7528\u5b83\u7684\u6570\u636e\u81ea\u5df1\u505a\uff0c\u8fd9\u4e00\u70b9\u5728\u4e0b\u6587\u4e2d\u5c31\u4e0d\u518d\u91cd\u590d\u63d0\u793a\u4e86\uff09\u3002 \u5982\u679c\u6587\u732e\u53ea\u505a\u4e86\u4e00\u4e2a\u5206\u5b50\u91cf\u7684\u6837\u54c1\uff0c\u81f3\u5c11\u4e5f\u5df2\u7ecf\u6709$M$\u548c$A_2$\u4e86\u3002\u8fd9\u65f6\u53ef\u4ee5\u901a\u8fc7\u6269\u5f20\u7cfb\u6570\u6765\u6c42Flory\u6307\u6570\u3002\u5982\u679c\u6269\u5f20\u7cfb\u6570\u662f\u5173\u4e8e\u5747\u65b9\u672b\u7aef\u8ddd\u7684\uff0c\u5c31\u6709\uff1a$\\alpha_\\alpha=\\left\\langle h^2\\right\\rangle^{1\/2}_\\alpha\/\\left\\langle h^2\\right\\rangle_\\theta^{1\/2}$\uff0c\u5176\u4e2d\uff0c$\\left\\langle h^2\\right\\rangle^{1\/2} = b_\\alpha N_\\alpha^\\nu_\\alpha$\uff0c$\\left\\langle h^2\\right\\rangle_\\theta^{1\/2} = b_\\alpha N_\\alpha^{1\/2}$\uff0c$b_\\alpha$\u662fKuhn\u94fe\u6bb5\u957f\u5ea6\uff0c$N_\\alpha$\u662fKuhn\u94fe\u6bb5\u7684\u4e2a\u6570\u3002$N_\\alpha=M\/\\left(M_1 b_\\alpha\\right)$\u3002\u90a3\u4e48\u5c31\u53ef\u4ee5\u7531\u6269\u5f20\u7cfb\u6570\u8ba1\u7b97Flory\u6307\u6570\u4e86\uff0c\u6240\u7f3a\u7684\u53c2\u6570\u662f$\\alpha_\\alpha$\u548c$b_alpha$\u3002 $b_\\alpha$\u4e5f\u662f\u8981\u627e\u6587\u732e\u7684\u3002\u6587\u732e\u4e00\u822c\u6709\u4e24\u79cd\u505a\u6cd5\uff1a\u4e00\u662f\u5149\u6563\u5c04\u5f97\u5230\u4e86\u6bd4\u8f83\u5bbd\u6ce2\u77e2\u8303\u56f4\u7684form factor\uff0c\u53ef\u4ee5\u770b\u5230coil\u884c\u4e3a\u5411rod\u884c\u4e3a\u7684\u8f6c\u53d8\uff0c\u8fd9\u4e2a\u8f6c\u53d8\u6240\u5bf9\u5e94\u7684\u5c3a\u5ea6\u5c31\u662f$b$\u3002\u4e8c\u662f\u901a\u8fc7\u4e00\u4e9b\u542b\u6709\u6301\u7eed\u957f\u5ea6$l_\\mathrm{p}$\u53c2\u6570\u7684\u94fe\u6a21\u578b\u6765\u62df\u5408\u6d4b\u5f97\u7684$\\left\\langle S^2\\right\\rangle$\u6570\u636e\u5f97\u5230$l_\\mathrm{p}$\u4ece\u800c\u5f97\u5230$b$\u3002\u4e0d\u7ba1\u600e\u4e48\u6837\u4f60\u8981\u67e5\u5230\u8fd9\u4e2a\u6570\u636e\u3002\u7531\u4e8e$b_\\alpha$\u7684\u503c\u662f\u4f9d\u8d56\u6761\u4ef6\uff0c\u6240\u4ee5\u6700\u597d\u662f\u540c\u4e00\u4e2a\u62a5\u9053\u91cc\u4e0d\u4ec5\u4f5c\u4e86Zimm\u56fe\uff0c\u8fd8\u628a\u5149\u5f3a\u548c\u6ce2\u77e2\u66f2\u7ebf\u7ed9\u51fa\u6765\uff0c\u7136\u540e\u4f9b\u4f60\u7528\u7b2c\u4e00\u79cd\u65b9\u6cd5\u4f30\u7b97\u51fa$b$\u3002\u6587\u732e\u81ea\u5df1\u628a\u8fd9\u4ef6\u4e8b\u505a\u4e86\u7684\u8bdd\u5c31\u66f4\u597d\u4e86\u3002 \u81f3\u4e8e\u6269\u5f20\u7cfb\u6570\uff0c\u662f\u8fd9\u6837\u5f97\u5230\u7684\uff1a\u901a\u8fc7\u6bd4\u8f83\u53e6\u4e00\u79cd\u9ad8\u5206\u5b50B\u7684$M_\\mathrm{B}$\u3001$A_{2,\\mathrm{B}}$\u548c\u6269\u5f20\u7cfb\u6570$\\alpha_{B\\beta}$\u6765\u4f30\u7b97\u5f53\u524d\u7684\u9ad8\u5206\u5b50\u5728\u6761\u4ef6\u03b1\u7684\u6269\u5f20\u7cfb\u6570$\\alpha_\\alpha$\u3002\u5177\u4f53\u5730\u8bb2\uff0c\u4f60\u9700\u8981\u67e5\u627e\u53e6\u4e00\u79cd\u7814\u7a76\u5f97\u6bd4\u8f83\u591a\u7684\u9ad8\u5206\u5b50B\u7684\u6570\u636e\uff0c\u8fd9\u6837\u5c31\u6709\u671b\u627e\u5230\u540c\u65f6\u62a5\u9053\u4e86\u5176\u5206\u5b50\u91cf$M_\\mathrm{B}$\u548c\u67d0\u6761\u4ef6\uff08\u8bb0\u4e3a\u03b2\uff09\u4e0b\u7684$A_{2,\\mathrm{B}}$\u548c\u6269\u5f20\u6bd4$\\alpha_\\mathrm{B\\beta}$\u7684\u6587\u732e\u3002\u7136\u540e\uff0c\u6839\u636eFlory\u7684\u6269\u5f20\u7cfb\u6570\u5173\u7cfb\u5f0f$\\alpha^5-\\alpha^3=2C_\\mathrm{M}\\psi\\left(1-\\Theta\/T\\right)M^{1\/2}$\u53ef\u77e5\uff0c\u4e0d\u540c\u9ad8\u5206\u5b50\u5728\u540c\u4e00\u7b2c\u4e8c\u7ef4\u5229\u7cfb\u6570\u4e0b\u7684$\\left(\\alpha^5-\\alpha^3\\right)\/M^{1\/2}$\u503c\u662f\u5dee\u522b\u5f88\u5c0f\u7684\u3002\u4e8e\u662f\u4f60\u5c31\u53ef\u4ee5\u901a\u8fc7$\\frac{\\alpha_\\alpha^5-\\alpha_\\alpha^3}{M^{1\/2}}=\\frac{\\alpha_\\mathrm{B\\beta}^5-\\alpha_\\mathrm{B\\beta}^3}{M_\\mathrm{B}^{1\/2}}$\u6765\u8ba1\u7b97\u4f60\u8981\u7684\u6269\u5f20\u7cfb\u6570$\\alpha_\\alpha$\u4e86\u3002\u6709\u4e86$\\alpha_\\alpha$\u548c$b_\\alpha$\uff0c\u5c31\u53ef\u4ee5\u6c42$\\nu_\\alpha$\u4e86\u3002 \u77e5\u9053\u4e86$\\nu_\\alpha$\uff0c\u4e0b\u4e00\u6b65\u5c31\u662f\u8ba1\u7b97\u6211\u4eec\u624b\u5934\u4e0a\u7684\u6837\u54c1\u7684\u5206\u5b50\u91cf$M^\\prime$\u3002\u8fd9\u65f6\u5c31\u9700\u8981\u4f7f\u7528\u7279\u6027\u7c98\u6570\u7684\u6570\u636e\u4e86\u3002\u4f60\u9700\u8981\u518d\u4ece\u6587\u732e\u4e2d\u627e\u5230\u76f8\u540c\u6761\u4ef6\u4e0b\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\alpha$\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u4f60\u4ece\u6587\u732e\u4e2d\u4e00\u5171\u8981\u627e\u5230\u5bf9\u67d0\u5206\u5b50\u91cf\u4e3a$M$\u7684\u6837\u54c1\u5728\u540c\u4e00\u6761\u4ef6\u03b1\u4e0b\u7684\uff1a$b_\\alpha$\u548c$\\left[\\eta\\right]_\\alpha$\uff0c\u6309\u4e0a\u8ff0\u7684\u8ba1\u7b97\u65b9\u6cd5\u7b97\u51fa$\\nu_\\alpha$\u3002\u540c\u65f6\uff0c\u4f60\u624b\u5934\u4e0a\u7684\u6837\u54c1\u4e5f\u8981\u81ea\u5df1\u62ff\u53bb\u5728\u76f8\u540c\u7684\u6761\u4ef6\u4e0b\u6d4b\u7279\u6027\u7c98\u6570\uff0c\u5f97\u5230$\\left[\\eta\\right]^\\prime_\\alpha$\u3002\u8fd9\u65f6\u6839\u636eFlory\u2014Fox\u5173\u7cfb\u6709$\\left[\\eta\\right]_\\alpha\/\\left[\\eta\\right]^\\prime_\\alpha=\\left(M\/M^\\prime\\right)^{\\left(3\\nu_\\alpha-1\\right)}$\uff0c\u4ece\u800c\u5f97\u5230\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5206\u5b50\u91cf$M^\\prime$\u3002 \u5728\u6b64\u57fa\u7840\u4e0a\uff0c\u5982\u679c\u8981\u4f30\u7b97\u53e6\u4e00\u79cd\u6eb6\u5242\u6216\u6e29\u5ea6\u6761\u4ef6\uff08\u8bb0\u4e3a\u03b3\uff09\u4e0b\u7684\u5404\u79cd\u5c3a\u5bf8\uff0c\u5c31\u5fc5\u987b\u77e5\u9053\u65b0\u6761\u4ef6\u4e0b\u8fd9\u4e00\u9ad8\u5206\u5b50\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]_\\gamma$\u548c\u5206\u5b50\u91cf$M$\uff0c\u8fd9\u540c\u6837\u8981\u4ece\u6587\u732e\u91cc\u627e\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u5c31\u662f\u4f60\u60f3\u83b7\u5f97\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u6761\u4ef6\u03b3\u7684\u4fe1\u606f\uff0c\u4f60\u5c31\u8981\u627e\u5230\u6709\u4eba\u4e5f\u5728\u6761\u4ef6\u03b3\u4e0b\u505a\u8fc7\u540c\u79cd\u9ad8\u5206\u5b50\u7684\u5b9e\u9a8c\uff0c\u5426\u5219\u5c31\u6ca1\u620f\u4e86\u3002\u5982\u679c\u6709\uff0c\u90a3\u4f60\u53ea\u9700\u8981\u518d\u5728\u6761\u4ef6\u03b3\u4e0b\u6d4b\u4e00\u6b21\u624b\u5934\u4e0a\u6837\u54c1\u7684\u7279\u6027\u7c98\u6570$\\left[\\eta\\right]^\\prime_\\gamma$\uff0c\u5c31\u53ef\u4ee5\u7c7b\u4f3c\u5730\u7528\u5173\u7cfb$\\left[\\eta\\right]_\\gamma\/\\left[\\eta\\right]^\\prime_\\gamma=\\left(M\/M^\\prime\\right)^{\\left(3\\nu_\\gamma-1\\right)}$\u5f97\u5230\u65b0\u6761\u4ef6\u7684Flory\u6307\u6570\u3002\u7136\u540e\u53ef\u4ee5\u5229\u7528Flory\u2014Fox\u5173\u7cfb\u672c\u8eab\u5f97\u5230\u65b0\u6761\u4ef6\u4e0b\u7684Kuhn\u94fe\u6bb5\u6570\u91cf$N^\\prime_\\gamma$\u548c\u957f\u5ea6$b_\\gamma$\uff0c\u8fdb\u800c\u5f97\u5230\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle_\\gamma^\\prime$\u3002 \u6eb6\u80c0\u94fe\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^{1\/2}$\u4e0e\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle^{1\/2}$\u4e4b\u95f4\u6ca1\u6709\u7b80\u5355\u7684\u7cbe\u786e\u5173\u7cfb\u3002\u4f46\u4ecd\u7136\u53ef\u4ee5\u6309\u6587\u672b\u5173\u4e8e\u6269\u5f20\u7cfb\u6570\u7684\u8865\u5145\u8bf4\u660e\u53ef\u4ee5\u4f5c\u6b64\u6362\u7b97\uff0c\u5f97\u5230\u4f60\u624b\u5934\u4e0a\u6837\u54c1\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^\\prime_\\gamma$\u3002\u6709\u4e86\u5747\u65b9\u56de\u8f6c\u534a\u5f84\uff0c\u4f60\u5c31\u53ef\u4ee5\u8ba1\u7b97\u65b0\u6761\u4ef6\u4e0b\u5f53\u524d\u6837\u54c1\u7684\u5f88\u591a\u4fe1\u606f\uff0c\u4f8b\u5982\u534a\u6d53\u6eb6\u6db2\u7684\u63a5\u89e6\u6d53\u5ea6$c^*=3M\/\\left(4\\pi N_\\mathrm{A}\\left\\langle S^2\\right\\rangle^{1\/2}\\right)$\uff0c\u4ee5\u53ca\u76f8\u5173\u957f\u5ea6\uff08blob size\uff09$\\xi=\\left\\langle S^2\\right\\rangle^{1\/2}\\left(c\/c^*\\right)^{-\\nu\/\\left(3\\nu-1\\right)}$\u3002\u6ce8\u610f\u5f0f\u4e2d\u4f9d\u8d56\u6761\u4ef6\u7684\u91cf\u8981\u53d6\u540c\u4e00\u6761\u4ef6\u4e0b\u7684\u503c\u3002 \u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u6db2\u4ea4\u8054\u5f62\u6210\u7684\u51dd\u80f6\uff0c\u4e5f\u53ef\u4ee5\u5728\u540c\u6837\u7684\u6eb6\u5242\u548c\u6e29\u5ea6\uff08\u5982\u6761\u4ef6\u03b3\uff0c\u4e0d\u518d\u6807\u793a\u4e86\uff09\u4e0b\u6d4b\u91cf\u5e73\u53f0\u6a21\u91cf$G_\\mathrm{p}$\uff0c\u7136\u540e\u7528Nijenhuis\u7684\u5f0f\u5b50\uff0c\u5f97\u5230\u4ea4\u8054\u70b9\u95f4\u5206\u5b50\u91cf$M_\\mathrm{c}$\u3002 \\begin{equation}G_\\mathrm{p}=\\frac{2cRT}{M}\\left(\\frac{M}{M_\\mathrm{c}}\\frac{f-1}{f}-1\\right)\\left(1-w_\\mathrm{s}\\right)\\end{equation}\\begin{equation}\\frac{M}{M_\\mathrm{c}}=-\\frac{\\mathrm{ln}w_\\mathrm{s}}{1-w_\\mathrm{s}}\\frac{1-w_\\mathrm{s}^{0.5f}}{1-w_\\mathrm{s}^{0.5f-1}}\\end{equation} $M$\u662f\u9ad8\u5206\u5b50\u7684\u5206\u5b50\u91cf\uff0c$c$\u662f\u9ad8\u5206\u5b50\u6d53\u5ea6\uff08\u5355\u4f4d\u4f53\u79ef\u7684\u9ad8\u5206\u5b50\u8d28\u91cf\uff09\u3002$f$\u662f\u4ea4\u8054\u70b9\u7684\u5b98\u80fd\u5ea6\uff0c$w_\\mathrm{s}$\u662f\u51dd\u80f6\u4e2d\u7684sol fraction\u3002 \u5f97\u5230\u4e86\u4ea4\u8054\u70b9\u95f4\u5e73\u5747\u5206\u5b50\u91cf\uff0c\u5c31\u53ef\u4ee5\u901a\u8fc7\u4e4b\u524d\u5f97\u5230\u7684\u540c\u6837\u6761\u4ef6\u4e0b\u7684\u6837\u54c1\u7684$M$\u3001$M_1$\u3001$\\nu$\u3001$b$\u8ba1\u7b97\u4ea4\u8054\u70b9\u95f4\u5e73\u5747Kuhn\u94fe\u6bb5\u6570$N_\\mathrm{c}$\uff0c\u8fdb\u800c\u5047\u8bbe\u7f51\u773c\u5c3a\u5bf8\u8fd1\u4f3c\u7b49\u4e8e\u4ea4\u8054\u70b9\u95f4\u94fe\u6bb5\u7684\u5747\u65b9\u672b\u7aef\u8ddd\uff0c\u53ef\u5f97\u7f51\u773c\u5c3a\u5bf8$\\xi=bN_\\mathrm{c}^\\nu$\u3002 \u529f\u80fd\u6027\u6c34\u51dd\u80f6\u7684\u6eb6\u5242\u6761\u4ef6\u5343\u53d8\u4e07\u5316\u3002\u6e29\u5ea6\u4f9d\u8d56\u6027\u5c1a\u4e14\u6709\u70ed\u529b\u5b66\u4e00\u822c\u5173\u7cfb\u53ef\u4f9d\u8d56\uff0c\u4f46\u662f\u4e0d\u540cpH\u6216\u76d0\u7684\u79cd\u7c7b\u3001\u6d53\u5ea6\uff0c\u4e0d\u53ef\u80fd\u90fd\u6709\u4eba\u505a\u8fc7\u5149\u6563\u5c04\u5b9e\u9a8c\u3002\u54ea\u6015\u81ea\u5df1\u6709\u5149\u6563\u5c04\uff0c\u4e5f\u4e0d\u53ef\u80fd\u53d8\u4e00\u4e0b\u76d0\u6d53\u5ea6\u5c31\u6d4b\u4e00\u6b21\u6216\u8005\u641e\u51fa\u4ec0\u4e48\u5de5\u4f5c\u66f2\u7ebf\u6765\u3002\u8fd9\u65f6\u6211\u4eec\u8981\u6709\u4e00\u79cd\u4e0d\u90a3\u4e48\u7ea0\u7ed3\u7684\u65b9\u5f0f\u3002\u5728\u5904\u7406\u8fd9\u79cd\u95ee\u9898\u7684\u65f6\u5019\uff0c\u53ea\u80fd\u628a\u6761\u4ef6\u4f9d\u8d56\u7684\u53c2\u6570\u90fd\u5f53\u4f5c\u53d8\u91cf\uff0c\u770b\u80fd\u4e0d\u80fd\u641e\u4e00\u4e9b\u62df\u5408\u4e86\u3002 \u5173\u4e8e\u6269\u5f20\u7cfb\u6570\u7684\u8865\u5145\u8bf4\u660e \u524d\u9762\u63d0\u5230\u5bf9\u4e8e\u6eb6\u80c0\u94fe\u7684\u5747\u65b9\u56de\u8f6c\u534a\u5f84$\\left\\langle S^2\\right\\rangle^{1\/2}$\u4e0e\u5747\u65b9\u672b\u7aef\u8ddd$\\left\\langle h^2\\right\\rangle^{1\/2}$\u4e4b\u95f4\u6ca1\u6709\u7b80\u5355\u7684\u7cbe\u786e\u5173\u7cfb\uff0c\u6269\u5f20\u7cfb\u6570\u4e5f\u9700\u8981\u5206\u5f00\u5b9a\u4e49\u3002\u5747\u65b9\u672b\u7aef\u8ddd\u7684\u6269\u5f20\u7cfb\u6570\u662f$\\alpha_h\\equiv\\left\\langle h^2\\right\\rangle^{1\/2}\/\\left\\langle h^2\\right\\rangle_\\mathrm{\\theta} ^{1\/2}$\uff1b\u5747\u65b9\u56de\u8f6c\u534a\u5f84\u7684\u6269\u5f20\u7cfb\u6570\u662f$\\alpha_S\\equiv\\left\\langle S^2\\right\\rangle^{1\/2}\/\\left\\langle\u2026","rel":"","context":"In 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