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superposition\u7684\u73b0\u8c61\u7684\u81ea1978\u5e74Struik\u63d0\u51fa\u4ee5\u6765\u5230\u73b0\u5728\uff0c\u5df2\u7ecf\u4e3a\u4eba\u6240\u719f\u77e5\uff0c\u4f46\u662f\u6211\u4f3c\u4e4e\u6ca1\u6709\u542c\u8bf4\u8fc7\u5bf9\u6b64\u73b0\u8c61\u7684\u89e3\u91ca\u3002\u4e5f\u8bb8\u662f\u5728\u4e8e\u8fdc\u79bb\u5e73\u8861\u6001\u7684\u975e\u5e73\u8861\u7269\u7406\u603b\u4f53\u8fd8\u6709\u5f85\u53d1\u5c55\uff1f \u6211\u7684\u7406\u8bba\u57fa\u7840\u6bd4\u8f83\u5dee\uff0c\u4e0d\u662f\u592a\u719f\u6089\u7406\u8bba\u7269\u7406\u65b9\u9762\u7684\u7814\u7a76\u73b0\u72b6\u3002\u76ee\u524d\u5982\u679c\u60f3\u5c31\u6b64\u95ee\u9898\u5728\u5b9e\u9a8c\u4e0a\u66f4\u6df1\u5165\u4e00\u6b65\u7684\u8bdd\uff0c\u53ea\u80fd\u53d8\u7740\u6cd5\u5b50\u53bb\u8bd5\u63a2time\u2013aging time superposition\u7684\u9002\u7528\u8303\u56f4\u9650\u5ea6\u5728\u54ea\u91cc\u3002\u5c31\u597d\u50cf\u5bf9\u70ed\u6d41\u53d8\u590d\u6742\u6027\u7684\u7814\u7a76\u90a3\u6837\uff0c\u5982\u679c\u628atime\u2013aging time 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&quot;\u5de5\u4f5c\u7b14\u8bb0&quot;","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":5675,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5675","url_meta":{"origin":9170,"position":1},"title":"\u7a33\u6001\u526a\u5207\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b","author":"Andrew","date":"2013\u5e749\u670819\u65e5","format":false,"excerpt":"\u4e2d\u79cb\u8fd9\u4e24\u5929\u5047\u671f\uff0c\u6211\u90fd\u5728\u770bmode coupling theory\u7684\u6587\u732e\u3002\u82b1\u4e86\u5f88\u591a\u529f\u592b\uff0c\u7ed3\u679c\u5565\u4e5f\u6ca1\u771f\u6b63\u770b\u61c2\u3002\u4ee5\u540e\u53ef\u80fd\u4e0d\u4f1a\u518d\u50cf\u8fd9\u4e24\u5929\u8fd9\u4e48\u8ba4\u771f\u5730\u53bb\u770b\u8fd9\u73a9\u610f\u4e86\uff0c\u6240\u4ee5\u597d\u6b79\u8bb0\u5f55\u4e00\u4e0b\u3002 Time-shear superposition 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micelle\u6765\u5f53\u4f5c\u7f20\u7ed3\u7684\u6a21\u578b\u4f53\u7cfb\u8bd5\u9a8c\uff0c\u53d1\u73b0\u662f\u5b8c\u5168\u4e0d\u7b26\u5408SRFS\u7684\u3002\u6211\u53c8\u7528Giesekus\u6a21\u578b\u505a\u4e86\u4e00\u4e0b\uff0c\u4e5f\u4e0d\u7b26\u5408\u3002\u8fd9\u4e5f\u8bb8\u53ef\u4ee5\u521d\u6b65\u8bf4\u660e\uff0c\u7f20\u7ed3\u4f53\u7cfb\u6ca1\u6709\u8fd9\u6837\u7684\u6027\u8d28\u3002SRFS\u65e2\u7136\u4f1a\u4f9d\u8d56\u8fd9\u79cddynamics\u7684\u5177\u4f53\u673a\u7406\uff0c\u53ef\u80fd\u771f\u7684\u662f\u53cd\u6620\u7740\u4ec0\u4e48\u7ed3\u6784\u677e\u5f1b\u7684\uff0c\u4f46\u662f\u8fd8\u4e0d\u597d\u4e0b\u4ec0\u4e48\u7ed3\u8bba\u3002 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model\u7684\u7c7b\u578b\uff0c\u8bbe\u8ba1\u4e86\u5f88\u591a\u6ca1\u6709\u76f4\u63a5\u7269\u7406\u610f\u4e49\u7684\u8868\u8fbe\u5f0f\u51d1\u6765\u51d1\u53bb\u3002\u5982\u679c\u7528\u8fd9\u4e9b\u6a21\u578b\u53bb\u5c1d\u8bd5SRFS\uff0c\u65e0\u8bba\u662f\u6210\u8fd8\u662f\u4e0d\u6210\uff0c\u4f60\u90fd\u5f88\u96be\u83b7\u5f97\u4ec0\u4e48\u7269\u7406\u4e0a\u7684insight\u3002\u6240\u4ee5\uff0c\u6211\u5c31\u60f3\u6539\u7528\u4e00\u4e9b\u80f6\u4f53\u4f53\u7cfb\u7684first principle\u7684\u6d41\u53d8\u7406\u8bba\u3002\u9996\u5148\u60f3\u5230\u7684\u5c31\u662fMCT\u5411\u6d41\u53d8\u5b66\u7684\u63a8\u5e7f\uff0c\u5373Fuchs\u7b49\u4eba\u7684\u5de5\u4f5c\u3002\u5177\u4f53\u5730\uff0c\u662f\u5e0c\u671b\u91c7\u7528MCT-ITT\u7684\u4e00\u4e9b\u7b80\u5316\u7248schematic -model\u3002\u4f7f\u7528\u8fd9\u4e2a\u6a21\u578b\u6765\u9884\u6d4bLAOS\u7ed3\u679c\u7684\u62a5\u9053\u5df2\u7ecf\u6709\u4e86\u3002MCT-ITT\u7684\u6570\u5b66\u8fdc\u8fdc\u8d85\u8fc7\u4e86\u6211\u7684\u80fd\u529b\uff0c\u6211\u662f\u6700\u8fd1\u627e\u5230\u4e86\u4e00\u4e2a\u61c2\u6570\u5b66\u7684\u670b\u53cb\u5e2e\u5fd9\u8ba1\u7b97MCT\uff0c\u624d\u8003\u8651\u8fd9\u4e2a\u95ee\u9898\u7684\u3002\u8fd9\u9879\u5de5\u4f5c\u6b63\u5728\u8fdb\u884c\u4e2d\uff0c\u5b58\u5728\u4e00\u4e9b\u95ee\u9898\uff0c\u7a0d\u540e\u518d\u8bf4\u3002 \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 superposition\u7684\uff0c\u8ddf\u524d\u6587\u4ecb\u7ecd\u7684\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u7ed3\u679c\u76f8\u547c\u5e94\u3002\u5728\u7ebf\u6027\u54cd\u5e94\u6761\u4ef6\u4e0b\uff0c\u6d41\u53d8\u5b66\u4e0a\u7684\u529b\u5b66\u677e\u5f1b\u8ddf\u7ed3\u6784\u677e\u5f1b\u4e4b\u95f4\u5c31\u5dee\u4e2aGreen-Kubo\u5173\u7cfb\u3002\u4f46\u662f\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\uff0c\u662f\u5426\u4ecd\u6709\u67d0\u79cd\u5e7f\u4e49\u7684Green-Kubo\u5173\u7cfb\uff1f\u8fd9\u81f3\u5c11\u662f\u7406\u8bba\u5bb6\u4eec\u5e38\u5e38\u91c7\u7528\u7684\u4e00\u79cd\u5047\u8bbe\u3002 Schematic -model MCT\u5411\u6d41\u53d8\u5b66\u7684\u63a8\u5e7f\uff0c\u6709Fuchs\u7b49\u548cMiyazaki\u7b49\u7684\u4e24\u79cd\u505a\u6cd5\u3002Fuchs\u7b49\u4eba\u7684MCT-ITT\u53c8\u6709\u4e24\u79cd\u7b80\u5316\uff0c\u4e00\u79cd\u662fisotropically sheared hard sphere model\uff08ISHSM\uff09\uff0c\u53e6\u4e00\u79cd\u5c31\u662fschematic -model\u3002 Time-shear superposition\u5173\u7cfb\u5230\u03b2\u677e\u5f1b\u8fc7\u7a0b\u7684\u6807\u5ea6\u7279\u6027\u3002\u5bf9\u6b64\u8fdb\u884c\u4e86\u63a8\u5bfc\u3002\u5728\u73bb\u7483\u5316\u8f6c\u53d8\u9644\u8fd1\uff08\uff09\u5bc6\u5ea6\u76f8\u5173\u51fd\u6570\uff0c\u5176\u4e2dfq\u662fDebye-Waller factor\u3002\u5728MCT\u7684\u505a\u6cd5\u4e2d\uff0c\u4f3c\u4e4e\u89c4\u5b9a\u4e86b=1\u3002\u5176\u6b21\uff0c\u03c4\u4e0e\u7684\u5173\u7cfb\uff0c\u4e5f\u4f3c\u4e4e\u662f\u4eba\u4e3a\u89c4\u5b9a\u4e86\u7684\uff0c\u4f53\u73b0\u5728schematic -model\u7684memory function\u5f62\u5f0f\u7684\u9009\u62e9\u4e0a\uff1a \u8fd9\u662f\u5426\u8bf4\u660e\u54ea\u6015\u662fMCT\u7406\u8bba\u4e5f\u5e76\u6ca1\u6709\u9053\u51fatime-shear superposition\u7684\u7269\u7406\u5b9e\u8d28\uff1f\u2026","rel":"","context":"In &quot;\u6211\u7684\u7814\u7a76\u7b14\u8bb0&quot;","block_context":{"text":"\u6211\u7684\u7814\u7a76\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/rheo"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":4792,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/4792","url_meta":{"origin":9170,"position":2},"title":"\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u677e\u5f1b\u65f6\u95f4\u662f\u4ec0\u4e48\u677e\u5f1b\u65f6\u95f4\uff1f","author":"Andrew","date":"2012\u5e747\u670814\u65e5","format":false,"excerpt":"\u8fd9\u4e2a\u95ee\u9898\u641e\u4e86\u6211\u4e00\u4e2a\u901a\u5bb5\uff0c\u8bb0\u5f55\u4e00\u4e0b\u3002 \u65f6\u6e29\u53e0\u52a0\u6027\u8d28\u662f\u6307\u4f53\u7cfb\u5728\u4e0d\u540c\u6e29\u5ea6\u6d4b\u91cf\u5f97\u5230\u7684\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u53ef\u5728\u65f6\u95f4\u8f74\u5e73\u79fb\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u5e73\u79fb\u56e0\u5b50aT\u5e38\u5e38\u8ba4\u4e3a\u662f\u677e\u5f1b\u65f6\u95f4\u7684\u6bd4\u503c\uff1a \u4f46\u662f\uff0c\u5b9e\u9645\u6837\u54c1\u5f80\u5f80\u5177\u6709\u4e00\u4e2a\u8f83\u5bbd\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u3002\u90a3\u4e48\u4e0a\u5f0f\u4e2d\u7684\u677e\u5f1b\u65f6\u95f4\u5230\u5e95\u662f\u54ea\u4e2a\u503c\uff0c\u662f\u5e73\u5747\u503c\u8fd8\u662f\u6700\u5927\u503c\u8fd8\u662f\u4ec0\u4e48\uff1f \u73bb\u7483\u6001\u4f53\u7cfb\u7684\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u5e38\u5e38\u7b26\u5408Kohlrausch-Williams-Watts\uff08KWW\uff09\u5173\u7cfb\uff1a \u5982\u679c\u4f53\u7cfb\u53ea\u6709\u4e00\u4e2a\u677e\u5f1b\u65f6\u95f4\u503c\uff0c\u5219\u03b2 = 1\uff0c\u03c40\u5c31\u662f\u677e\u5f1b\u65f6\u95f4\u3002\u5982\u679c0 < \u03b2 < 1\uff0c\u5219\u53cd\u6620\u4f53\u7cfb\u6709\u4e00\u4e2a\u5bbd\u5206\u5e03\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u3002\u03c40\u53ea\u80fd\u662f\u4e00\u4e2a\u7528\u6765\u63cf\u8ff0\u76f8\u5173\u51fd\u6570\u6216\u54cd\u5e94\u51fd\u6570\u7684\u7279\u5f81\u65f6\u95f4\u3002\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u5c31\u662f\u03c40\u7684\u6bd4\u503c\u3002\u03c40\u8ddf\u677e\u5f1b\u65f6\u95f4\u8c31\u6709\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f\u5b83\u662f\u4e0d\u662f\u5c31\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u5462\uff1f \u4ee5\u5e94\u529b\u677e\u5f1b\u4e3a\u4f8b\uff0c\u5047\u8bbe\u6837\u54c1\u53ef\u8868\u793a\u6210\u65e0\u6570\u4e2aMaxwell\u6a21\u578b\u7684\u548c\uff1a \u5176\u4e2dg(\u03c4)\u662f\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u51fd\u6570\u3002\u5b83\u4e0e\u66f4\u5e38\u7528\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u5173\u7cfb\u662fH(\u03c4)=\u03c4g(\u03c4)\u3002\u7531\u4e8eG(t)\u7b26\u5408KWW\u65b9\u7a0b\uff0c\u5219\u6709 \u4ee4u=1\/\u03c4\uff0c\u4e0a\u5f0f\u5c31\u53d8\u6210\u4e00\u4e2aLaplace\u53d8\u6362\uff1a \u4e3a\u4e86\u5f97\u5230g(\u03c4)\uff0c\u987b\u8ba1\u7b97\u4ee5\u4e0b\u53cdLaplace\u53d8\u6362\uff1a g(\u03c4)\u7684n\u9636\u77e9<\u03c4n>\uff1a \u6240\u4ee5 \u5373\u5bf9\u4e8e\u4e00\u4e2a\u6ee1\u8db3KWW\u578b\u54cd\u5e94\u51fd\u6570G(t)\u7684\u4f53\u7cfb\uff0c\u5176\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u4e0eKWW\u65b9\u7a0b\u7684\u7279\u5f81\u65f6\u95f4\u03c40\u6210\u6b63\u6bd4\uff0c\u56e0\u6b64\u5e73\u79fb\u56e0\u5b50aT\u786e\u5b9e\u662f\u5e73\u5747\u677e\u5f1b\u65f6\u95f4\u7684\u6bd4\u503c \u3002 \u66f4\u9ebb\u70e6\u7684\u95ee\u9898\u662f\uff0c\u505a\u52a8\u6001\u6d4b\u8bd5\u7684\u65f6\u5019\uff0cG' = G''\u5904\u6240\u5bf9\u5e94\u7684\u9891\u7387\u5012\u6570\u662f\u4ec0\u4e48\u65f6\u95f4\uff1f\u5f88\u591a\u5730\u65b9\u8bf4\u8fd9\u662f\u6700\u5927\u677e\u5f1b\u65f6\u95f4\uff08maximum relaxation time\uff09\u03c4m\uff0c\u5373\u5f53\u89c2\u5bdf\u65f6\u95f4\u65f6\u95f4\u8d85\u8fc7\u03c4m\uff0c\u5c31\u53ef\u4ee5\u770b\u5230\u6837\u54c1\u7684\u6d41\u52a8\u3002\u53ef\u662f\uff0c\u4e00\u4e2a\u54cd\u5e94\u51fd\u6570\u7b26\u5408KWW\u65b9\u7a0b\u7684\u6837\u54c1\uff0c\u662f\u5426\u5177\u6709\u786e\u5b9a\u7684\u6700\u5927\u677e\u5f1b\u65f6\u95f4\uff1f\u4e5f\u5c31\u662f\u8bf4\uff0c\u5176\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u51fd\u6570g(\u03c4)\u662f\u5426\u6709\u786e\u5b9a\u7684\u5b9a\u4e49\u57df\uff0c\u4f7f\u5f97\u5f53\u03c4>\u03c4m\u65f6g(\u03c4) = 0\uff1f\u8fd9\u4e2a\u90fd\u4e0d\u597d\u8bf4\u3002\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u7684\u6982\u5ff5\u8ddf\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u5173\u7cfb\uff0c\u591a\u6570\u89c1\u4e8e\u4eba\u4e3a\u7ed9\u5b9a\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\uff0c\u4f8b\u5982Wedge-Box distribution\u3001BSW distribution\u7b49\u7b49\u3002\u7ed9\u5b9ag(\u03c4)\uff0c\u5012\u662f\u53ef\u4ee5\u5206\u522b\u8ba1\u7b97G'\u548cG'' \u4ee4G' = G''\uff0c\u628a\u4e0a\u9762\u4e24\u5f0f\u8054\u8d77\u6765\u89e3\u51fa\u03c9\u6765\uff0c\u5c31\u80fd\u6c42\u5f97\u6240\u8c13\u7684\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u662f\u5565\uff0c\u4f46\u8fd9\u4e2a\u592a\u96be\u4e86\u2026\u2026\u53c8\u636e\u8bf4\uff0cG' = G''\u65f6\u7684\u03c9\u4e5f\u5c31\u662fG''\u6700\u5927\u503c\u65f6\u7684\u03c9\u3002\u5219\u4e0a\u9762\u7b2c\u4e8c\u4e2a\u5f0f\u5b50\u6c42\u5bfc\uff0c\u5c31\u5269\u4e0b\u88ab\u79ef\u51fd\u6570\u4e86\u3002\u90a3\u5768\u4e1c\u897f\u4e2d\u53f3\u8fb9\u7684\u5206\u5f0f\u662f\u975e\u96f6\u7684\uff0c\u6240\u4ee5\u552f\u6709\u8ba9g(\u03c4)=0\u3002\u8fd9\u5c31\u53c8\u56de\u5230\u4e4b\u524d\u95ee\u7684\u90a3\u4e2a\u95ee\u9898\u4e86\uff1ag(\u03c4)\u662f\u5426\u6709\u786e\u5b9a\u7684\u5b9a\u4e49\u57df\uff0c\u4f7f\u5f97\u5f53\u03c4>\u03c4m\u65f6g(\u03c4) = 0\uff1f \u6709\u4eba\u7ed9\u51fa\uff08\u89c1\u53c2\u8003\u6587\u732e\uff09\u4e86g(\u03c4)\u7684\u8fd1\u4f3c\u8868\u8fbe\u5f0f\uff0c\u662f\u4e2a\u542bGamma\u51fd\u6570\u7684\u7ea7\u6570\u3002\u8981\u6211\u89e3g(\u03c4) = 0\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u7684\u2026\u2026 \u8fd8\u6709\u4e00\u4e2a\u53ef\u80fd\u7684\u89e3\u51b3\u65b9\u6cd5\uff0c\u5c31\u662f\u91c7\u7528\u677e\u5f1b\u65f6\u95f4\u8c31\u7684\u4e00\u4e9b\u8fd1\u4f3c\u7b97\u6cd5\u3002\u4f8b\u5982\uff1a \u8fd9\u5c31\u53ef\u76f4\u63a5\u4eceG(t)\u53bb\u8ba1\u7b97\u677e\u5f1b\u65f6\u95f4\u8c31H(\u03c4)=\u03c4g(\u03c4)\uff0c\u7136\u540e\u4ee3\u5165\u4e0a\u9762\u7684\u5f0f\u5b50\u7b97\u51faG'\u548cG''\uff0c\u89e3\u51fa\u201c\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u201d\u6765\u3002\u4f46\u603b\u4e4b\u90a3\u4e24\u4e2a\u79ef\u5206\u8fd8\u662f\u5f88\u96be\u641e \u6211\u731c\u6d4b\u8ba1\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u03c4m\u4e5f\u662f\u8ddf\u03c40\u548c\u03b2\u6709\u5173\uff0c\u4f46\u662f\u5426\u6b63\u6bd4\u4e8e\u03c40\u5c31\u4e0d\u77e5\u9053\u4e86\u3002\u771f\u7684\u4e0d\u884c\u7684\u8bdd\uff0c\u6211\u53ea\u80fd\u5728MATLAB\u6570\u503c\u7b97\u4e00\u4e0b\uff0c\u8003\u5bdf\u4e00\u4e0b\u4e0d\u540c\u03b2\u503c\u4e0b\u7684\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u03c4m\u3001\u5e73\u5747\u677e\u5f1b\u65f6\u95f4<\u03c4>\u548cKWW\u7684\u7279\u5f81\u65f6\u95f4\u03c40\u4e4b\u95f4\u7684\u8868\u89c2\u5173\u7cfb\uff0c\u770b\u80fd\u5426\u8fd1\u4f3c\u8ba4\u4e3a\u03c4m\u8ddf\u03c40\u6210\u6b63\u6bd4\u3002\u5982\u679c\u80fd\uff0c\u5219\u65f6\u6e29\u53e0\u52a0\u5f97\u5230\u7684\u5e73\u79fb\u56e0\u5b50\uff0c\u540c\u65f6\u4e5f\u662f\u6700\u5927\u677e\u5f1b\u65f6\u95f4\u4e4b\u6bd4\uff1a \u53c2\u8003\u6587\u732e\uff1aJ. Chem. Phys. 73:3348\uff0cText. Res. J. 21:404","rel":"","context":"In &quot;\u5de5\u4f5c\u7b14\u8bb0&quot;","block_context":{"text":"\u5de5\u4f5c\u7b14\u8bb0","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/personal\/%e5%b7%a5%e4%bd%9c%e7%ac%94%e8%ae%b0"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1191,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/1191","url_meta":{"origin":9170,"position":3},"title":"\u5bf9zyzyzhangyuan\u4e00\u6587\u7684\u8bfb\u540e\u611f\u53ca\u5176\u4ed6","author":"Andrew","date":"2010\u5e747\u67084\u65e5","format":false,"excerpt":"\u672c\u6587\u5185\u5bb9\u63d0\u8981\uff1a\u5bf9zyzyzhangyuan\u4e00\u6587\u7684\u8bfb\u540e\u611f\u8fd1\u671f\u5173\u4e8e\u6211\u7684\u7814\u7a76\u5de5\u4f5c\u7684\u601d\u8003\u5173\u4e8e\u76ee\u524dLAOS\u7814\u7a76\u7684\u51fa\u8def\u5bf9zyzyzhangyuan\u4e00\u6587\u7684\u8bfb\u540e\u611f 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glassy materials\u5728\u6d41\u53d8\u5b9e\u9a8c\u4e2d\u90fd\u6709\u5f88\u591asuperposition\u300298\u5e74H. Wyss\u5728D. Weitz\u90a3\u91cc\u8bfb\u535a\u7684\u65f6\u5019\u53d1\u7684PRL\u5c31\u662fStrain-Rate Frequency Superposition\u3002\u6211\u5728\u4ee5\u524d\u5199\u8fc7\u5173\u4e8e\u8fd9\u7bc7\u6587\u7ae0\u7684\u7b14\u8bb0\u3002\u8fd9\u79cd\u53ef\u53e0\u52a0\u7684\u73b0\u8c61\uff0c\u8bf4\u660e\u4e86\u53e0\u52a0\u7684\u4e24\u4e2a\u6761\u4ef6\u5bf9\u4e8e\u6d4b\u91cf\u7684\u7269\u7406\u91cf\u5f71\u54cd\u662f\u7b49\u6548\u7684\uff0c\u6216\u8005\u8bf4\u6697\u793a\u4e86\u53e0\u52a0\u7684\u4e24\u4e2a\u6761\u4ef6\u5728\u7ed3\u6784\u4e0a\u90fd\u662f\u4ece\u76f8\u540c\u7684\u673a\u5236\u4ea7\u751f\u5f71\u54cd\u7684\u3002\u4f8b\u5982\u5728strain-rate frequency superposition\u4e2d\u65e2\u7136\u8bf4\u5e94\u53d8\u901f\u7387\u5e45\u5ea6\u03b3\u03070\u548c\u9891\u7387\u03c9\uff08\u5373\u6d4b\u8bd5\u65f6\u95f4\uff09\u6709\u53ef\u53e0\u52a0\u6027\uff0c\u5c31\u662f\u8bf4\u63d0\u9ad8\u526a\u5207\u901f\u7387\u5e45\u5ea6\u8ddf\u5ef6\u957f\u6d4b\u8bd5\u65f6\u95f4\u7684\u6548\u679c\u662f\u7b49\u540c\u7684\u3002\u7ebf\u5f62\u805a\u5408\u7269\u7194\u4f53\u7684\u65f6\u6e29\u53e0\u52a0\uff08TTS\uff09\uff0c\u4e5f\u4e0d\u8fc7\u5c31\u662f\u8bf4\u660e\u5347\u9ad8\u6e29\u5ea6\uff08\u5728\u4e00\u5b9a\u8303\u56f4\u5185\uff09\u548c\u5ef6\u957f\u6d4b\u8bd5\u65f6\u95f4\u7684\u6548\u679c\u662f\u7b49\u540c\u7684\u3002\u91cd\u8981\u7684\u662f\u5982\u4f55\u7b49\u540c\u2014\u2014\u5373\u5e73\u79fb\u56e0\u5b50\u7684\u5173\u7cfb\u5f0f\u3002\u4f8b\u5982\uff0c\u7ebf\u5f62\u805a\u5408\u7269\u7684\u65f6\u6e29\u53e0\u52a0\u5e73\u79fb\u56e0\u5b50\u53ef\u80fd\u662fWLF\u65b9\u7a0b\uff0c\u4f46\u4e5f\u6709\u4e00\u4e9b\u65f6\u6e29\u53e0\u52a0\u5e73\u79fb\u56e0\u5b50\u7b26\u5408Arrhenius\u5173\u7cfb\u7684\u3002\u5bf9\u4e8eTTS\u6765\u8bf4\uff0c\u5982\u679c\u6210\u7acb\uff0c\u6709\u4e2a\u8bf4\u6cd5\u53eb\u201c\u70ed\u6d41\u53d8\u7b80\u5355\u6027\u201d\uff08thermorheological simplicity\uff09\uff0cTTS\u5931\u6548\u5219\u79f0\u4e3a\u201c~\u590d\u6742\u6027\u201d\uff08~ complexity\uff09\u3002\u56de\u5230soft glassy materials\uff08\u8868\u8ff0\u4e25\u683c\u4e00\u70b9\u7684\u8bdd\u53ef\u4ee5\u81f3\u5c11\u8bf4\u662f\u786c\u6216\u8f6f\u7403\u80f6\u4f53\u73bb\u7483\u4f53\u7cfb\uff0c\u4f46\u672c\u6587\u4ea6\u5305\u62ec\u975e\u7403\u7684Laponite\uff09\uff0c\u5c3d\u7ba1\u6ca1\u6709\u65f6\u6e29\u7b49\u6548\u7684\u62a5\u9053\uff0c\u4f46\u662f\u5173\u4e8e\u8001\u5316\uff08aging\uff09\u548c\u526a\u5207\u5e74\u8f7b\u5316\uff08shear rejuvenation\uff09\u5374\u6709\u8bb8\u591a\u5176\u5b83\u7b49\u6548\u73b0\u8c61\u3002\u4f8b\u5982\u526a\u5207\u80fd\u51cf\u5c0f\u677e\u5f1b\u65f6\u95f4\uff08\u505aDLS\u65f6\u4e0d\u540c\u03b3\u0307\u526a\u5207\u4e0b\u6d4b\u5f97\u7684\u81ea\u76f8\u5149\u51fd\u6570\u66f2\u7ebf\u53ef\u53e0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\uff09\uff0c\u526a\u5207\u80fd\u51cf\u6162aging\uff0c\u52a0NaCl\u80fd\u52a0\u901faging\u7b49\u7b49\uff08\u4e0d\u540c\u7b49\u5f85\u65f6\u95f4\u3001\u4e0d\u540cNaCl\u6d53\u5ea6\u7684\u6837\u54c1\uff0c\u5728\u4e0d\u540c\u526a\u5207\u5e94\u529b\u4e0b\u6d4b\u5f97\u7684\u8815\u53d8\u7ed3\u679c\u90fd\u53ef\u53e0\u52a0\uff09\u3002\u5c31\u662f\u8bf4\uff0c\u4f60\u65e0\u8bba\u53d8\u8fd9\u4e2a\u53d8\u90a3\u4e2a\uff0c\u6761\u4ef6\u8fbe\u4e09\u56db\u79cd\uff0c\u5230\u5934\u6765\u53d1\u73b0\u90fd\u662f\u5728\u4e00\u4e2a\u6750\u6599\u6027\u8d28\u4e0a\u53d1\u751f\u8c03\u8282\u3002\u8fd9\u79cd\u60c5\u51b5\u53c8\u6709\u4e00\u79cd\u8bf4\u6cd5\u53eb\u201c\u6d41\u53d8\u5b66\u5197\u4f59\u201d\uff08rheological 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\u4e00\u4e2an\u7ea7\u5355\u5206\u5b50\u53cd\u5e94\u901f\u7387\u65b9\u7a0b\u662f\uff1a [math]\\frac{d \\left[ A \\right]}{dt}=k\\left[ A\\right]^{n}[\/math] \u79ef\u5206\u4e4b\u540e\u5c31\u662f\uff1a[math]\\begin{cases}& \\left[A \\right ]=\\left[A\\right]_{0}\\exp\\left(-kt\\right),n=1\\\\ & \\left[A \\right ]=\\left[\\left(n-1 \\right )kt+\\left[A \\right ]_{0}^{1-n}\\right]^{\\frac{1}{1-n}},n\\neq1 \\end{cases}[\/math]\u53ef\u89c1\uff0c\u901f\u7387\u65b9\u7a0b\u603b\u53ef\u4ee5\u76f4\u63a5\u5199\u6210[math]t'=kt[\/math]\u7684\u51fd\u6570\uff1a[math]\\left[A\\right]=f\\left(t\\right)=f\\left(kt\\right)[\/math]\u3002\u8fd9\u65f6\uff0c\u5982\u679ck\u5bf9\u67d0\u53c2\u91cfC\uff08\u5982\u6d53\u5ea6\uff09\u6709\u4f9d\u8d56\u6027\uff0c\u5e76\u53ef\u4ee5\u5199\u6210[math]k=k_{0} a_{C}\\left(C\\right)[\/math]\uff0c\u5219\u6709[math] f\\left( kt \/a_{C}\\right)\\equiv f\\left(k_{0} t\\right)[\/math]\uff0c\u5373[math]f\\left(t'\/a_{C}\\right) \\equiv f\\left(t_{0}'\\right)[\/math]\u3002\u4f5c\u6210log-log\u56fe\uff0c\u5219\u4e3a[math]\\lg f\\left(\\lg t'-\\lg a_{C}\\right)\\equiv\\lg f\\left(\\lg t_{0}'\\right)[\/math]\uff0c\u5373\u5177\u6709\u5e73\u79fb\u53e0\u52a0\u7b49\u6548\u6027\u3002 \u540c\u7406\uff0c\u5173\u4e8e\u7ed3\u6676\u7684\u8fc7\u7a0b\u6709\u4e2aAvrami\u65b9\u7a0b[math]X=\\exp\\left(-kt^n\\right)[\/math]\u3002\u6b64\u65f6X\u80fd\u5199\u6210[math]t'=kt^n[\/math]\u7684\u5355\u503c\u51fd\u6570\uff1a[math]X=X\\left(t'\\right)=\\exp\\left(-t'\\right)[\/math]\u3002\u8fd9\u65f6\uff0c\u5982\u679c\u7ed3\u6676\u7684\u901f\u7387\u5e38\u6570k\u662f\u6e29\u5ea6\u7684\u51fd\u6570\u5e76\u53ef\u4ee5\u5199\u6210\uff1a[math]k=k_{0}a_{T}[\/math]\uff0c\u90a3\u4e48\u5c31\u6709[math]f\\left(t'\/a_{T}\\right) \\equiv f\\left(t_{0}'\\right)[\/math]\u3001[math]\\lg f\\left(\\lg t'-\\lg a_{T}\\right) \\equiv \\lg f\\left(\\lg t_{0}'\\right)[\/math]\uff0c\u5176log-log\u56fe\u540c\u6837\u5177\u6709\u5e73\u79fb\u53e0\u52a0\u7b49\u6548\u6027\u3002","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":"Master curve and the shift 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Cho\u7ec4\u7684\u5de5\u4f5c \u7ebf\u6027\u7c98\u5f39\u6027\u7406\u8bba\u4ecd\u7136\u662f\u91cd\u8981\u7684\u6d41\u53d8\u5b66\u624b\u6bb5\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u9ad8\u5206\u5b50\u4f53\u7cfb\uff0c\u5305\u62ec\u7194\u4f53\u548c\u6eb6\u6db2\u3002\u8fd9\u4e9b\u4f53\u7cfb\u901a\u8fc7\u65f6\u6e29\u53e0\u52a0\uff08TTS\uff09\uff0c\u53ef\u83b7\u5f97\u201c\u5b8c\u6574\u201d\u7684\u677e\u5f1b\u65f6\u95f4\u8c31\uff0c\u7136\u540e\u518d\u901a\u8fc7\u677e\u5f1b\u65f6\u95f4\u8c31\u4e2d\u663e\u793a\u51fa\u6765\u7684\u5feb\u6162\u6a21\u5f0f\u6765\u83b7\u53d6\u5206\u5b50\u8fd0\u52a8\u7684\u4fe1\u606f\u3002\u4eceG'\u3001G'' vs \u03c9\u66f2\u7ebf\u83b7\u5f97\u677e\u5f1b\u65f6\u95f4\u5206\u5e03\u7684\u8fc7\u7a0b\u662f\u9700\u8981\u975e\u7ebf\u6027\u62df\u5408\u3002AR-G2\u5e26\u7684Rheology Advantage\u8f6f\u4ef6\u5c31\u6709\u6b64\u529f\u80fd\u3002\u4f46\u662f\u5927\u5bb6\u8fd8\u662f\u4e00\u76f4\u63d0\u51fa\u5404\u79cd\u7b97\u6cd5\u6765\u505a\u8fd9\u4ef6\u4e8b\u60c5\uff0c\u5c31\u662f\u56e0\u4e3a\u5728\u6570\u5b66\u4e0a\u4ece\u52a8\u6001\u6a21\u91cf\u83b7\u5f97\u8fde\u7eed\u677e\u5f1b\u65f6\u95f4\u8c31H(\u03c4)\u9700\u8981\u89e3\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u90a3\u4e2aVoltera\u79ef\u5206\u65b9\u7a0b\u3002\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u662f\u4e0d\u9002\u5b9a\uff08ill-posed\uff09\u7684\u53cd\u95ee\u9898\u3002\u6b63\u5219\u5316\uff08regularization\uff09\u662f\u4e00\u4e2a\u6bd4\u8f83\u5e38\u89c4\u7684\u89e3\u51b3\u65b9\u6cd5\u3002\u57fa\u4e8e\u6b63\u5219\u5316\u7684\u65b9\u6cd5\u6709\u5f88\u591a\u62a5\u9053\u3002K. 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