{"id":9022,"date":"2024-03-01T03:44:27","date_gmt":"2024-02-29T19:44:27","guid":{"rendered":"https:\/\/www.andrewsun.net\/panta_rhei\/?p=9022"},"modified":"2024-03-01T03:44:27","modified_gmt":"2024-02-29T19:44:27","slug":"%e5%85%b3%e4%ba%8e%e9%ab%98%e5%88%86%e5%ad%90%e7%9a%84%e7%bb%93%e6%9e%84%e6%b5%81%e5%8f%98%e5%ad%a6%e6%a8%a1%e5%9e%8b","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9022","title":{"rendered":"\u5173\u4e8e\u9ad8\u5206\u5b50\u7684\u7ed3\u6784\u6d41\u53d8\u5b66\u6a21\u578b"},"content":{"rendered":"
\n\n

\u8fd9\u662f\u4e3a\u8bb8\u5143\u6cfd\u5148\u751f\u7684\u8457\u4f5c\u300a\u9ad8\u5206\u5b50\u7ed3\u6784\u6d41\u53d8\u5b66\u300b\u7684\u7b2c\u4e8c\u7ae0\u6dfb\u52a0\u7684\u8bc4\u8bba\u3002<\/p>\n\n\n\n

\u8bb8\u8001\u5e08\u5728\u7b2c\u4e8c\u7ae0\u5f00\u5934\u7684\u8fd9\u6bb5\u8bdd\u2014\u2014<\/p>\n\n\n\n

\n

\u9ad8\u5206\u5b50\u7a00\u6eb6\u6db2\u7684\u52a8\u529b\u5b66\u7406\u8bba\u53ef\u8ffd\u6eaf\u523040\u5e74\u4ee3\uff0cKuhn\u3001Kramers\u3001Debye\u548cKirkwood\u7b49\u4eba\u7684\u5de5\u4f5c\u3002\u4ed6\u4eec\u628a\u7edf\u8ba1\u529b\u5b66\u548c\u6d41\u4f53\u529b\u5b66\u7ed3\u5408\u8d77\u6765\uff0c\u6784\u6210\u4e00\u79cd\u201c\u5206\u5b50\u201d\u7406\u8bba\uff0c\u5b9e\u9645\u4e0a\u662f\u5206\u5b50\u7ed3\u6784\u6a21\u578b\u7684\u7406\u8bba\u300250\u5e74\u4ee3\u7531Rouse\u548cZimm\u7b49\u53d1\u5c55\u8fd9\u4e9b\u6982\u5ff5\u548c\u65b9\u6cd5\u5bfc\u51fa\u6d41\u53d8\u5b66\u91cf\u300270\u5e74\u4ee3\u4ee5\u6765\u5f97\u5230\u4e86\u6d41\u53d8\u5b66\u672c\u6784\u65b9\u7a0b\uff0c\u7406\u8bba\u7ed3\u6784\u9010\u6b65\u5b8c\u5584\uff0c\u5e76\u8fdb\u884c\u4e86\u7ec6\u81f4\u7684\u5b9e\u9a8c\u68c0\u9a8c\uff0c\u9488\u5bf9\u4e0d\u8db3\u4e4b\u5904\u53c8\u6709\u5404\u79cd\u65b0\u7684\u63a2\u7d22\u3002\u8fd9\u65b9\u9762\u8f83\u5b8c\u6574\u7684\u603b\u7ed3\u53c2\u89c1Bird\u7b49\u7684\u4e13\u8457\uff0c\u5176\u4e2d\u8f83\u5b8c\u6574\u5730\u53cd\u6620\u4e86\u5f53\u4ee3\u7684\u6c34\u5e73\u3002\u6b64\u5916\u8fd8\u53ef\u53c2\u9605\u4e00\u4e9b\u603b\u7ed3\u6027\u6587\u732e\u3002<\/p>\n<\/blockquote>\n\n\n\n

\u2014\u2014\u81f3\u4eca\u770b\u6765\u4ecd\u628a\u8be5\u4e66\u51fa\u7248\u65f6\uff081988\u5e74\uff09\u5df2\u7ecf\u5b9a\u578b\u7684\u7406\u8bba\u8ba4\u8bc6\u603b\u7ed3\u5f97\u5f88\u597d\u3002\u8fd9\u4e9b\u6a21\u578b\u53ef\u79f0\u4e3a\u9ad8\u5206\u5b50\u6eb6\u6db2\u7684\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u201c\u7ecf\u5178\u6a21\u578b\u201d\u3002\u5b83\u4eec\u90fd\u662f\u6d41\u4f53\u52a8\u529b\u5b66\uff08hydrodynamic\uff09\u6a21\u578b\uff0c\u5373\u660e\u660e\u6eb6\u8d28\u5206\u5b50\uff08\u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u8d28\u5219\u6307\u4e00\u4e2a\u94fe\u6bb5\u5355\u5143\uff09\u4e0e\u6eb6\u5242\u5206\u5b50\u7684\u5c3a\u5bf8\u548c\u8d28\u91cf\u5dee\u522b\u4e0d\u5927\uff0c\u5374\u89c6\u540e\u8005\u4e3a\u8fde\u7eed\u4ecb\u8d28\uff0c\u89c6\u524d\u8005\u4e3a\u60ac\u6d6e\u5728\u540e\u8005\u5f53\u4e2d\u53d1\u751f\u5e03\u6717\u8fd0\u52a8\u7684\u80f6\u4f53\u7c92\u5b50\u3002\u4e25\u683c\u610f\u4e49\u4e0a\uff0c\u8fd9\u6837\u7684\u6a21\u578b\u6240\u5f97\u51fa\u7684\u7ed3\u8bba\u5e94\u8be5\u53ea\u5728\u89c2\u6d4b\u65f6\u95f4\u5c3a\u5ea6\u5f88\u5927\u7684\u65f6\u5019\u6210\u7acb\uff0c\u5373\u6db2\u4f53\u975e\u5e73\u8861\u7edf\u8ba1\u4e2d\u7684\u6240\u8c13\u6d41\u4f53\u52a8\u529b\u5b66\u6781\u9650\uff08hydrodynamic limit\uff09\uff0c\u8be6\u89c1The Theory of Simple Liquids\u4e00\u4e66<\/a>[1]<\/a><\/span>\u3002\u4f8b\u5982\uff0c\u5f39\u6027\u54d1\u94c3\u3001Rouse–Zimm\u548cDoi–Edwards\u6a21\u578b\u90fd\u5c5e\u4e8e\u6b64\u7c7b\u3002\u8fd9\u7c7b\u6a21\u578b\u7684\u5176\u4e2d\u4e00\u4e2a\u5171\u540c\u70b9\u662f\u90fd\u501f\u52a9\u4e86\u80f6\u4f53\u60ac\u6d6e\u6db2\u7684\u504f\u5e94\u529b\u5f20\u91cf\u7406\u8bba\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u7531Kramers\u63d0\u51fa[2]<\/a><\/span>\uff0cKirkwood\u96c6\u5927\u6210[3]<\/a><\/span>\u3002\u6b64\u5373\u4e3a\u8bb8\u8001\u5e08\u539f\u6587\u6240\u8bf4\u7684\u201c\u8ffd\u6eaf\u523040\u5e74\u4ee3\u201d\u3002\u8fd9\u4e00\u7406\u8bba\u65b9\u6cd5\u7528\u5230\u4e86Smoluschowski\u65b9\u7a0b\uff0c\u5176\u4e2d\u542b\u6709\u6d41\u4f53\u52a8\u529b\u5b66\u7684Oseen\u5f20\u91cf\u3002<\/p>\n\n\n\n

\u76f8\u6bd4\u800c\u8a00\uff0c\u805a\u5408\u7269\u52a8\u529b\u5b66\u7684\u7b2c\u4e00\u539f\u7406\u6027\u6a21\u578b\u53d1\u5c55\u8f83\u665a\u3002\u6240\u8c13\u7b2c\u4e00\u539f\u7406\u6027\uff0c\u5373\u4ece\u5fae\u89c2\u5355\u5143\uff08\u805a\u5408\u7269\u94fe\u6bb5\u5355\u5143\u6216\u6eb6\u5242\u5206\u5b50\uff09\u7684Hamiltonian\u51fa\u53d1\u5efa\u7acb\u76f8\u7a7a\u95f4\u7684Liouville\u65b9\u7a0b\uff1b\u8fd0\u7528Zwanzig–Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u83b7\u5f97\u4e00\u822c\u76f8\u7a7a\u95f4\u53d8\u91cf\u7684\u5e7f\u4e49Langevin\u65b9\u7a0b\uff1b\u518d\u8fd0\u7528\u67d0\u79cd\u6a21\u5f0f\u8026\u5408\u7406\u8bba\uff08mode-coupling theory\uff09\u6765\u5f97\u5230\u8bb0\u5fc6\u51fd\u6570\u548c\u5305\u62ec\u7c98\u5ea6\u5728\u5185\u7684\u5b8f\u89c2\u8f93\u9001\u6027\u8d28\u3002Zwanzig–Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u53ef\u89c1Theory of Simple Liquids\u4e00\u4e66<\/a>[4]<\/a><\/span>\u3002\u6a21\u5f0f\u8026\u5408\u7406\u8bba\u7531Kawasaki\u4e8e70\u5e74\u4ee3\u63d0\u51fa[5]<\/a><\/span>\u3002\u6700\u521d\u662f\u7528\u4e8e\u52a8\u529b\u5b66\u4e34\u754c\u884c\u4e3a\u7684\uff0c\u540e\u6765\u5e94\u7528\u4e8e\u975e\u4e34\u754c\u72b6\u6001\u7684\u4f53\u7cfb\u7684\u52a8\u529b\u5b66\uff0c\u53ef\u89c1Keyes\u7684\u7efc\u8ff01<\/a><\/sup>\u3002\u7b2c\u4e00\u4e2a\u5c06\u8fd9\u4e2a\u7406\u8bba\u6846\u67b6\u5e94\u7528\u4e8e\u805a\u5408\u7269\u4f53\u7cfb\u7684\u662fK. Schweizer[6]<\/a><\/span>[7]<\/a><\/span>\u3002\u5177\u4f53\u5230\u5e94\u529b\u5f20\u91cf\u6216\u7c98\u5ea6\u7684\u7406\u8bba\u63a8\u5bfc\u95ee\u9898\uff0c\u5728\u975e\u5e73\u8861\u7edf\u8ba1\u529b\u5b66\u4e2d\uff0c\u76ee\u524d\u53ea\u6709\u9884\u6d4b\u7ebf\u6027\u8f93\u8fd0\u65b9\u7a0b\u7684\u7406\u8bba\u2014\u2014\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u2014\u2014\u662f\u6bd4\u8f83\u6210\u719f\u7684\u3002\u81f3\u4e8e\u975e\u7ebf\u6027\u7406\u8bba\u7684\u8ba8\u8bba\uff0c\u53ef\u89c1Evans & Morriss\u8457\u4f5c\u7684\u76f8\u5173\u7ae0\u8282[8]<\/a><\/span>\u3002<\/p>\n\n\n

  1. T. Keyes (1977) in: B. Berne ed., Statistical Mechanics, Part B: Time Dependent Processes<\/em>, Plenum Presses<\/a> \u21a9\ufe0e<\/a><\/li><\/ol>

    References<\/h2>\n
      \n
    1. <\/a>\nJ. Hansen, and I.R. McDonald, \"Hydrodynamics and Transport Coefficients\", Theory of Simple Liquids<\/i>, pp. 311-361, 2013. http:\/\/dx.doi.org\/10.1016\/B978-0-12-387032-2.00008-8<\/a>\n\n\n<\/li>\n
    2. <\/a>\nH.A. Kramers, \"The Behavior of Macromolecules in Inhomogeneous Flow\", The Journal of Chemical Physics<\/i>, vol. 14, pp. 415-424, 1946. http:\/\/dx.doi.org\/10.1063\/1.1724163<\/a>\n\n\n<\/li>\n
    3. <\/a>\nJ.G. Kirkwood, \"The statistical mechanical theory of irreversible processes in solutions of flexible macromolecules. Visco\u2010elastic behavior\", Recueil des Travaux Chimiques des Pays-Bas<\/i>, vol. 68, pp. 649-660, 1949. http:\/\/dx.doi.org\/10.1002\/recl.19490680708<\/a>\n\n\n<\/li>\n
    4. <\/a>\nJ. Hansen, and I.R. McDonald, \"Theories of Time Correlation Functions\", Theory of Simple Liquids<\/i>, pp. 363-401, 2013. http:\/\/dx.doi.org\/10.1016\/B978-0-12-387032-2.00009-X<\/a>\n\n\n<\/li>\n
    5. <\/a>\nK. Kawasaki, \"Kinetic equations and time correlation functions of critical fluctuations\", Annals of Physics<\/i>, vol. 61, pp. 1-56, 1970. http:\/\/dx.doi.org\/10.1016\/0003-4916(70)90375-1<\/a>\n\n\n<\/li>\n
    6. <\/a>\nK.S. Schweizer, \"Microscopic theory of the dynamics of polymeric liquids: General formulation of a mode\u2013mode-coupling approach\", The Journal of Chemical Physics<\/i>, vol. 91, pp. 5802-5821, 1989. http:\/\/dx.doi.org\/10.1063\/1.457533<\/a>\n\n\n<\/li>\n
    7. <\/a>\nK.S. Schweizer, \"Mode-coupling theory of the dynamics of polymer liquids: Qualitative predictions for flexible chain and ring melts\", The Journal of Chemical Physics<\/i>, vol. 91, pp. 5822-5839, 1989. http:\/\/dx.doi.org\/10.1063\/1.457534<\/a>\n\n\n<\/li>\n
    8. <\/a>\nD.J. EVANS, and G.P. MORRISS, \"Nonlinear Response Theory\", Statistical Mechanics of Nonequilibrium Liquids<\/i>, pp. 169-211, 1990. http:\/\/dx.doi.org\/10.1016\/B978-0-12-244090-8.50012-6<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

      \u8fd9\u662f\u4e3a\u8bb8\u5143\u6cfd\u5148\u751f\u7684\u8457\u4f5c\u300a\u9ad8\u5206\u5b50\u7ed3\u6784\u6d41\u53d8\u5b66\u300b\u7684\u7b2c\u4e8c\u7ae0\u6dfb\u52a0\u7684\u8bc4\u8bba\u3002 \u8bb8\u8001\u5e08\u5728\u7b2c\u4e8c\u7ae0\u5f00\u5934\u7684\u8fd9\u6bb5\u8bdd\u2014\u2014 \u9ad8\u5206\u5b50\u7a00\u6eb6\u6db2\u7684\u52a8\u529b\u5b66\u7406\u8bba\u53ef\u8ffd\u6eaf\u523040\u5e74\u4ee3\uff0cKuhn\u3001Kramers\u3001Debye\u548cKirkwood\u7b49\u4eba\u7684\u5de5\u4f5c\u3002\u4ed6\u4eec\u628a\u7edf\u8ba1\u529b\u5b66\u548c\u6d41\u4f53\u529b\u5b66\u7ed3\u5408\u8d77\u6765\uff0c\u6784\u6210\u4e00\u79cd\u201c\u5206\u5b50\u201d\u7406\u8bba\uff0c\u5b9e\u9645\u4e0a\u662f\u5206\u5b50\u7ed3\u6784\u6a21\u578b\u7684\u7406\u8bba\u300250\u5e74\u4ee3\u7531Rouse\u548cZimm\u7b49\u53d1\u5c55\u8fd9\u4e9b\u6982\u5ff5\u548c\u65b9\u6cd5\u5bfc\u51fa\u6d41\u53d8\u5b66\u91cf\u300270\u5e74\u4ee3\u4ee5\u6765\u5f97\u5230\u4e86\u6d41\u53d8\u5b66\u672c\u6784\u65b9\u7a0b\uff0c\u7406\u8bba\u7ed3\u6784\u9010\u6b65\u5b8c\u5584\uff0c\u5e76\u8fdb\u884c\u4e86\u7ec6\u81f4\u7684\u5b9e\u9a8c\u68c0\u9a8c\uff0c\u9488\u5bf9\u4e0d\u8db3\u4e4b\u5904\u53c8\u6709\u5404\u79cd\u65b0\u7684\u63a2\u7d22\u3002\u8fd9\u65b9\u9762\u8f83\u5b8c\u6574\u7684\u603b\u7ed3\u53c2\u89c1Bird\u7b49\u7684\u4e13\u8457\uff0c\u5176\u4e2d\u8f83\u5b8c\u6574\u5730\u53cd\u6620\u4e86\u5f53\u4ee3\u7684\u6c34\u5e73\u3002\u6b64\u5916\u8fd8\u53ef\u53c2\u9605\u4e00\u4e9b\u603b\u7ed3\u6027\u6587\u732e\u3002 \u2014\u2014\u81f3\u4eca\u770b\u6765\u4ecd\u628a\u8be5\u4e66\u51fa\u7248\u65f6\uff081988\u5e74\uff09\u5df2\u7ecf\u5b9a\u578b\u7684\u7406\u8bba\u8ba4\u8bc6\u603b\u7ed3\u5f97\u5f88\u597d\u3002\u8fd9\u4e9b\u6a21\u578b\u53ef\u79f0\u4e3a\u9ad8\u5206\u5b50\u6eb6\u6db2\u7684\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u201c\u7ecf\u5178\u6a21\u578b\u201d\u3002\u5b83\u4eec\u90fd\u662f\u6d41\u4f53\u52a8\u529b\u5b66\uff08hydrodynamic\uff09\u6a21\u578b\uff0c\u5373\u660e\u660e\u6eb6\u8d28\u5206\u5b50\uff08\u5bf9\u4e8e\u9ad8\u5206\u5b50\u6eb6\u8d28\u5219\u6307\u4e00\u4e2a\u94fe\u6bb5\u5355\u5143\uff09\u4e0e\u6eb6\u5242\u5206\u5b50\u7684\u5c3a\u5bf8\u548c\u8d28\u91cf\u5dee\u522b\u4e0d\u5927\uff0c\u5374\u89c6\u540e\u8005\u4e3a\u8fde\u7eed\u4ecb\u8d28\uff0c\u89c6\u524d\u8005\u4e3a\u60ac\u6d6e\u5728\u540e\u8005\u5f53\u4e2d\u53d1\u751f\u5e03\u6717\u8fd0\u52a8\u7684\u80f6\u4f53\u7c92\u5b50\u3002\u4e25\u683c\u610f\u4e49\u4e0a\uff0c\u8fd9\u6837\u7684\u6a21\u578b\u6240\u5f97\u51fa\u7684\u7ed3\u8bba\u5e94\u8be5\u53ea\u5728\u89c2\u6d4b\u65f6\u95f4\u5c3a\u5ea6\u5f88\u5927\u7684\u65f6\u5019\u6210\u7acb\uff0c\u5373\u6db2\u4f53\u975e\u5e73\u8861\u7edf\u8ba1\u4e2d\u7684\u6240\u8c13\u6d41\u4f53\u52a8\u529b\u5b66\u6781\u9650\uff08hydrodynamic limit\uff09\uff0c\u8be6\u89c1The Theory of Simple Liquids\u4e00\u4e66\u3002\u4f8b\u5982\uff0c\u5f39\u6027\u54d1\u94c3\u3001Rouse–Zimm\u548cDoi–Edwards\u6a21\u578b\u90fd\u5c5e\u4e8e\u6b64\u7c7b\u3002\u8fd9\u7c7b\u6a21\u578b\u7684\u5176\u4e2d\u4e00\u4e2a\u5171\u540c\u70b9\u662f\u90fd\u501f\u52a9\u4e86\u80f6\u4f53\u60ac\u6d6e\u6db2\u7684\u504f\u5e94\u529b\u5f20\u91cf\u7406\u8bba\u65b9\u6cd5\u3002\u8be5\u65b9\u6cd5\u7531Kramers\u63d0\u51fa\uff0cKirkwood\u96c6\u5927\u6210\u3002\u6b64\u5373\u4e3a\u8bb8\u8001\u5e08\u539f\u6587\u6240\u8bf4\u7684\u201c\u8ffd\u6eaf\u523040\u5e74\u4ee3\u201d\u3002\u8fd9\u4e00\u7406\u8bba\u65b9\u6cd5\u7528\u5230\u4e86Smoluschowski\u65b9\u7a0b\uff0c\u5176\u4e2d\u542b\u6709\u6d41\u4f53\u52a8\u529b\u5b66\u7684Oseen\u5f20\u91cf\u3002 \u76f8\u6bd4\u800c\u8a00\uff0c\u805a\u5408\u7269\u52a8\u529b\u5b66\u7684\u7b2c\u4e00\u539f\u7406\u6027\u6a21\u578b\u53d1\u5c55\u8f83\u665a\u3002\u6240\u8c13\u7b2c\u4e00\u539f\u7406\u6027\uff0c\u5373\u4ece\u5fae\u89c2\u5355\u5143\uff08\u805a\u5408\u7269\u94fe\u6bb5\u5355\u5143\u6216\u6eb6\u5242\u5206\u5b50\uff09\u7684Hamiltonian\u51fa\u53d1\u5efa\u7acb\u76f8\u7a7a\u95f4\u7684Liouville\u65b9\u7a0b\uff1b\u8fd0\u7528Zwanzig–Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u83b7\u5f97\u4e00\u822c\u76f8\u7a7a\u95f4\u53d8\u91cf\u7684\u5e7f\u4e49Langevin\u65b9\u7a0b\uff1b\u518d\u8fd0\u7528\u67d0\u79cd\u6a21\u5f0f\u8026\u5408\u7406\u8bba\uff08mode-coupling theory\uff09\u6765\u5f97\u5230\u8bb0\u5fc6\u51fd\u6570\u548c\u5305\u62ec\u7c98\u5ea6\u5728\u5185\u7684\u5b8f\u89c2\u8f93\u9001\u6027\u8d28\u3002Zwanzig–Mori\u6295\u5f71\u7b97\u7b26\u6cd5\u53ef\u89c1Theory of Simple Liquids\u4e00\u4e66\u3002\u6a21\u5f0f\u8026\u5408\u7406\u8bba\u7531Kawasaki\u4e8e70\u5e74\u4ee3\u63d0\u51fa\u3002\u6700\u521d\u662f\u7528\u4e8e\u52a8\u529b\u5b66\u4e34\u754c\u884c\u4e3a\u7684\uff0c\u540e\u6765\u5e94\u7528\u4e8e\u975e\u4e34\u754c\u72b6\u6001\u7684\u4f53\u7cfb\u7684\u52a8\u529b\u5b66\uff0c\u53ef\u89c1Keyes\u7684\u7efc\u8ff0\u3002\u7b2c\u4e00\u4e2a\u5c06\u8fd9\u4e2a\u7406\u8bba\u6846\u67b6\u5e94\u7528\u4e8e\u805a\u5408\u7269\u4f53\u7cfb\u7684\u662fK. Schweizer\u3002\u5177\u4f53\u5230\u5e94\u529b\u5f20\u91cf\u6216\u7c98\u5ea6\u7684\u7406\u8bba\u63a8\u5bfc\u95ee\u9898\uff0c\u5728\u975e\u5e73\u8861\u7edf\u8ba1\u529b\u5b66\u4e2d\uff0c\u76ee\u524d\u53ea\u6709\u9884\u6d4b\u7ebf\u6027\u8f93\u8fd0\u65b9\u7a0b\u7684\u7406\u8bba\u2014\u2014\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u2014\u2014\u662f\u6bd4\u8f83\u6210\u719f\u7684\u3002\u81f3\u4e8e\u975e\u7ebf\u6027\u7406\u8bba\u7684\u8ba8\u8bba\uff0c\u53ef\u89c1Evans & Morriss\u8457\u4f5c\u7684\u76f8\u5173\u7ae0\u8282\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"[{\"content\":\"T. Keyes (1977) in: B. Berne ed., Statistical Mechanics, Part B: Time Dependent Processes<\/em>, Plenum Presses<\/a> \",\"id\":\"072e3b87-5e80-4c49-ae02-c8600b03c3dc\"}]","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[212],"tags":[150,165,310],"class_list":["post-9022","post","type-post","status-publish","format-standard","hentry","category-tagged","tag-polymer-physics","tag-rheology","tag-statistical-mechanics"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-2lw","jetpack-related-posts":[{"id":8145,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8145","url_meta":{"origin":9022,"position":0},"title":"\u9ad8\u5206\u5b50\u4e13\u4e1a\u7684\u540c\u5b66\u600e\u4e48\u5b66\u6d41\u53d8\u5b66","author":"Andrew","date":"2021\u5e743\u670825\u65e5","format":false,"excerpt":"\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u662f\u6d41\u53d8\u5b66\u7684\u57fa\u7840\u3002\u800c\u5fc5\u8981\u7684\u7ebf\u6027\u4ee3\u6570\u548c\u5411\u91cf\u51fd\u6570\u5fae\u79ef\u5206\u53c8\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66 \u7684\u6570\u5b66\u57fa\u7840\u3002\u6d41\u53d8\u5b66\u4e13\u6ce8\u4e8e\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u672c\u6784\u5173\u7cfb\u7684\u7814\u7a76\uff0c\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u7684\u4e00\u4e2a\u5c0f\u5206\u652f\u3002\u7136\u800c\uff0c\u7531\u4e8e\u6d41\u53d8\u5b66\u8ddf\u9ad8\u5206\u5b50\u79d1\u5b66\u548c\u5de5\u4e1a\u8054\u7cfb\u5341\u5206\u7d27\u5bc6\uff0c\u56e0\u6b64\u9ad8\u5206\u5b50\u5b66\u79d1\u7684\u5b66\u751f\u5f80\u5f80\u6709\u5b66\u4e60\u6d41\u53d8\u5b66\u7684\u5f3a\u70c8\u9700\u6c42\u3002\u7531\u4e8e\u5386\u53f2\u7684\u7f18\u6545\uff0c\u9ad8\u5206\u5b50\u4e13\u4e1a\u5f80\u5f80\u662f\u5f00\u8bbe\u5728\u4e00\u6240\u5927\u5b66\u7684\u5316\u5b66\u4e0e\u5316\u5b66\u5de5\u7a0b\u3001\u6750\u6599\u79d1\u5b66\u4e0e\u5de5\u7a0b\u7b49\u5b66\u9662\uff0c\u5b66\u751f\u666e\u904d\u4e0d\u5177\u5907\u5b66\u4e60\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u7684\u6570\u5b66\u57fa\u7840\u3002\u9ad8\u5206\u5b50\u4e13\u4e1a\u80cc\u666f\u7684\u5b66\u751f\uff0c\u8981\u6210\u4e3a\u4e00\u540d\u6d41\u53d8\u5b66\u9886\u57df\u7684\u7814\u7a76\u8005\u9700\u8981\u4f9d\u6b21\u8de8\u8dc3\u6570\u5b66\u3001\u529b\u5b66\u548c\u6d41\u53d8\u5b66\u4e09\u9053\u69db\u3002 \u5728\u5316\u5b66\u548c\u6750\u6599\u7c7b\u4e13\u4e1a\u672c\u79d1\u7684\u4e00\u822c\u8bfe\u7a0b\u8bbe\u7f6e\u4e2d\uff0c\u5b66\u751f\u4ece\u300a\u5de5\u7a0b\u529b\u5b66\u300b\u3001\u300a\u6750\u6599\u529b\u5b66\u300b\u3001\u300a\u5316\u5de5\u539f\u7406\u300b\u7b49\u8bfe\u7a0b\u4e2d\u63a5\u89e6\u8fc7\u7684\u601d\u60f3\uff0c\u5176\u5b9e\u90fd\u5c5e\u4e8e\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u3002 \u4f8b\u5982\uff0c\u300a\u5de5\u7a0b\u529b\u5b66\u300b\u6216\u300a\u6750\u6599\u529b\u5b66\u300b\u4e00\u5f00\u59cb\u5c31\u58f0\u660e\u4e86\u5b66\u79d1\u7684\u57fa\u672c\u5047\u8bbe\u5305\u62ec\uff1a\u8fde\u7eed\u6027\u5047\u8bbe\u3001\u5747\u5300\u6027\u5047\u8bbe\u3001\u5404\u5411\u540c\u6027\u5047\u8bbe\u548c\u5c0f\u5f62\u53d8\u5047\u8bbe\u3002\u5176\u4e2d\u7684\u8fde\u7eed\u6027\u5047\u8bbe\uff0c\u5c31\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u7684\u4e00\u822c\u6027\u5047\u8bbe\u3002\u5747\u5300\u6027\u3001\u5404\u5411\u540c\u6027\u5047\u8bbe\u4f7f\u6211\u4eec\u53ef\u4ee5\u8003\u8651\u4e00\u4e2a\u4e0d\u968f\u4f4d\u7f6e\u548c\u65b9\u5411\u53d8\u5316\u7684\u6807\u91cf\u503c\u6a21\u91cf\u3002\u5c0f\u5f62\u53d8\u5047\u8bbe\u4f7f\u5f97\u8bfe\u7a0b\u8986\u76d6\u7684\u95ee\u9898\u5747\u5047\u8bbe\u864e\u514b\u5f39\u6027\u3002\u4f46\u662f\uff0c\u8fd9\u4e24\u95e8\u8bfe\u4e3b\u8981\u5173\u6ce8\u7684\u5bf9\u8c61\u662f\u521a\u4f53\u6216\u864e\u514b\u56fa\u4f53\u7684\u9759\u529b\u5b66\uff0c\u65e2\u7269\u4f53\u5904\u4e8e\u9759\u6b62\u4e14\u5f62\u53d8\u6052\u5b9a\u72b6\u6001\u4e0b\u7684\u5e94\u529b\u548c\u5e94\u53d8\u4e0e\u8f7d\u8377\u7684\u5173\u7cfb\uff0c\u56e0\u6b64\u53ef\u8fdb\u4e00\u6b65\u5229\u7528\u529b\u7cfb\u7b80\u5316\u539f\u5219\u548c\u5e73\u8861\u6761\u4ef6\u89e3\u9898\uff0c\u4f7f\u5f97\u8fd9\u4e9b\u9898\u76ee\u53ea\u9700\u8fd0\u7528\u6807\u91cf\u7684\u4ee3\u6570\u516c\u5f0f\u6216\u542b\u7b80\u5355\u79ef\u5206\u7684\u516c\u5f0f\u5c31\u53ef\u4ee5\u89e3\u51b3\u3002\u56e0\u6b64\uff0c\u300a\u5de5\u7a0b\u529b\u5b66\u300b\u548c\u300a\u6750\u6599\u529b\u5b66\u300b\u7684\u77e5\u8bc6\u65e0\u6cd5\u89e3\u51b3\u66f4\u4e00\u822c\u7684\u5f62\u53d8\u95ee\u9898\u3002\u5176\u5b9e\u300a\u5de5\u7a0b\u529b\u5b66\u300b\u548c\u300a\u6750\u6599\u529b\u5b66\u300b\u6982\u5ff5\u4e0a\u8fd8\u5305\u62ec\u8fd0\u52a8\u5b66\u548c\u52a8\u529b\u5b66\u5185\u5bb9\uff0c\u7814\u7a76\u7684\u662f\u521a\u4f53\u6216\u864e\u514b\u56fa\u4f53\u7684\u8fd0\u52a8\u4e0e\u5f62\u53d8\u4e0e\u8f7d\u8377\u7684\u5173\u7cfb\uff0c\u673a\u68b0\u80fd\u8f6c\u5316\u6548\u7387\u4e0e\u673a\u68b0\u6ce2\u7684\u4f20\u9012\u7b49\u95ee\u9898\uff0c\u5e38\u660e\u663e\u5730\u79f0\u4f5c\u300a\u5de5\u7a0b\u52a8\u529b\u5b66\u300b\u548c\u300a\u6750\u6599\u52a8\u529b\u5b66\u300b\u3002\u7531\u4e8e\u8fd9\u4e24\u95e8\u8bfe\u5e38\u5e38\u76f4\u63a5\u57fa\u4e8e\u5206\u6790\u529b\u5b66\u548c\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u7684\u57fa\u7840\u8bb2\u8ff0\uff0c\u4e8e\u662f\u5c11\u89c1\u4e8e\u5316\u5b66\u548c\u6750\u6599\u7c7b\u4e13\u4e1a\u7684\u8bfe\u7a0b\u4e2d\u3002 \u53c8\u4f8b\u5982\uff0c\u300a\u5316\u5de5\u539f\u7406\u300b\u4e2d\u5173\u4e8e\u4f20\u8d28\u90e8\u5206\u7684\u5185\u5bb9\u4e5f\u58f0\u660e\u4e86\u6d41\u4f53\u529b\u5b66\u7684\u57fa\u672c\u5047\u8bbe\uff1a\u8fde\u7eed\u6027\u5047\u8bbe\u548c\u4e0d\u53ef\u538b\u7f29\u5047\u8bbe\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5728\u8fd9\u4e00\u8bfe\u7a0b\u4e2d\uff0c\u8fd8\u9ed8\u8ba4\u4e86\u6d41\u4f53\u7684\u5747\u5300\u6027\u5047\u8bbe\u548c\u5404\u5411\u540c\u6027\u5047\u8bbe\uff08\u53cd\u8fc7\u6765\u770b\uff0c\u300a\u5de5\u7a0b\u529b\u5b66\u300b\u548c\u300a\u6750\u6599\u529b\u5b66\u300b\u8bfe\u7a0b\u4e2d\u5176\u5b9e\u5141\u8bb8\u4e86\u53ef\u538b\u7f29\u6027\uff0c\u56e0\u6b64\u4ecb\u7ecd\u4e86\u67cf\u677e\u6bd4\u53c2\u6570\uff09\u3002\u6d41\u4f53\u529b\u5b66\u4e5f\u5206\u4e3a\u9759\u529b\u5b66\u548c\u52a8\u529b\u5b66\uff08\u79f0\u4e3a\u201c\u6d41\u4f53\u9759\u529b\u5b66\u201d\u548c\u201c\u6d41\u4f53\u52a8\u529b\u5b66\u201d\uff09\uff0c\u4e8c\u8005\u5728\u300a\u5316\u5de5\u539f\u7406\u300b\u8bfe\u7a0b\u4e2d\u90fd\u6709\u6d89\u53ca\u3002\u8fd9\u95e8\u8bfe\u5173\u5fc3\u7684\u5bf9\u8c61\u662f\u7406\u60f3\u6d41\u4f53\u4e0e\u725b\u987f\u6d41\u4f53\uff0c\u539f\u5219\u4e0a\u65e2\u8003\u8651\u4f4e\u96f7\u8bfa\u6570\u7684\u95ee\u9898\uff08\u5c42\u6d41\u5047\u8bbe\uff09\u4e5f\u8003\u8651\u9ad8\u96f7\u8bfa\u6570\u95ee\u9898\uff08\u5c42\u6d41\u5047\u8bbe\u5931\u6548\uff09\u3002\u5728\u4ecb\u7ecd\u6d41\u4f53\u52a8\u529b\u5b66\u90e8\u5206\u65f6\uff0c\u660e\u786e\u4ecb\u7ecd\u4e86\u201c\u8d28\u91cf\u5b88\u6052\u201d\u548c\u8fde\u7eed\u6027\u65b9\u7a0b\uff0c\u5e76\u4ee5\u76f4\u89c2\u7684\u65b9\u5f0f\u5f15\u5165\u4e86\u52a8\u91cf\u5b88\u6052\u56e0\u7d20\uff0c\u6700\u7ec8\u63a8\u51fa\u7eb3\u7ef4--\u65af\u6258\u514b\u65af\u65b9\u7a0b\uff08Navier--Stokes 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 \u4e0a\u8ff0\u4e24\u95e8\u8bfe\u4e2d\u7684\u5171\u540c\u5047\u8bbe\u5c31\u662f\u8fde\u7eed\u6027\u5047\u8bbe\uff0c\u5b9e\u9645\u4e0a\u5c31\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u7684\u5e94\u7528\u3002\u4e00\u822c\u5730\uff0c\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u5728\u725b\u987f\u529b\u5b66\u5b9a\u5f8b\u7684\u57fa\u7840\u4e0a\u4ec5\u9700\u589e\u52a0\u8fd9\u4e00\u6761\u5047\u8bbe\u3002\u4f46\u662f\u4e0a\u8ff0\u8fd9\u4e24\u95e8\u8bfe\u5206\u522b\u53ea\u5173\u5fc3\u864e\u514b\u56fa\u4f53\u548c\u725b\u987f\u6d41\u4f53\u3002\u800c\u6d41\u53d8\u5b66\u5173\u5fc3\u7684\u975e\u725b\u987f\u6d41\u52a8\u548c\u5851\u6027\u6d41\u52a8\uff0c\u5219\u5c5e\u4e8e\u7c98\u5f39\u6027\u6d41\u4f53\u6216\u7c98\u5851\u6027\u6d41\u4f53\u3002\u8fd9\u4e9b\u529b\u5b66\u6216\u6d41\u52a8\u884c\u4e3a\uff0c\u9ad8\u5206\u5b50\u4e13\u4e1a\u7684\u540c\u5b66\u5728\u300a\u9ad8\u5206\u5b50\u7269\u7406\u300b\u4e2d\u4e5f\u63a5\u89e6\u8fc7\u4e00\u4e9b\u57fa\u672c\u6982\u5ff5\u548c\u57fa\u672c\u73b0\u8c61\uff0c\u4f46\u4ec5\u9650\u4e8e\u5e94\u529b\u5e94\u53d8\u5173\u7cfb\uff0c\u4e66\u4e2d\u6ca1\u6709\u8fdb\u4e00\u6b65\u4ecb\u7ecd\u7528\u4e8e\u9884\u6d4b\u548c\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u7684\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u7406\u8bba\u6846\u67b6\u3002\u540c\u65f6\u5bf9\u4e8e\u8fd9\u4e9b\u7279\u6b8a\u6d41\u52a8\u73b0\u8c61\u672c\u8eab\uff0c\u53c8\u5f80\u5f80\u6025\u4e8e\u76f4\u63a5\u4ece\u5206\u5b50\u5c42\u9762\u5b9a\u6027\u89e3\u91ca\uff0c\u5374\u53c8\u7565\u53bb\u4e86\u57fa\u672c\u7684\u7edf\u8ba1\u529b\u5b66\u63a8\u5bfc\u3002\u5b9e\u9645\u4e0a\uff0c\u5927\u90e8\u5206\u9ad8\u5206\u5b50\u4e13\u4e1a\u672c\u79d1\u7684\u300a\u9ad8\u5206\u5b50\u7269\u7406\u300b\u8bfe\u7a0b\u53ea\u662f\u4e00\u79cd\u5b9a\u6027\u7a0b\u5ea6\u7684\u79d1\u666e\u3002 \u6d41\u53d8\u5b66\u7814\u7a76\u7684\u5bf9\u8c61\u5f80\u5f80\u88ab\u79f0\u4e3a\u590d\u6742\u6d41\u4f53\u6216\u8f6f\u7269\u8d28\uff08\u5305\u62ec\u4f46\u4e0d\u4ec5\u9650\u4e8e\u9ad8\u5206\u5b50\uff09\u3002\u8fd9\u7c7b\u4f53\u7cfb\u7684\u7edf\u8ba1\u529b\u5b66\u7814\u7a76\u5c5e\u4e8e\uff08\u8f6f\uff09\u51dd\u805a\u6001\u7269\u7406\u7684\u5185\u5bb9\u3002\u4e00\u822c\u800c\u8a00\uff0c\u51dd\u805a\u6001\u7269\u7406\u7684\u7814\u7a76\u5bf9\u50cf\u662f\u5927\u91cf\u9075\u5faa\u91cf\u5b50\u529b\u5b66\u6216\u7ecf\u5178\u529b\u5b66\u7684\u5fae\u89c2\u7c92\u5b50\u5f62\u6210\u7684\u79bb\u6563\u7684\u6574\u4f53\uff08\u56e0\u6b64\u5e76\u4e0d\u5047\u5b9a\u8fde\u7eed\u6027\uff09\u3002\u8fd9\u4e9b\u5fae\u89c2\u7c92\u5b50\u9664\u4e86\u6ee1\u8db3\u91cf\u5b50\u529b\u5b66\u6216\u7ecf\u5178\u529b\u5b66\u7684\u5047\u8bbe\u4e4b\u5916\uff0c\u8fd8\u9700\u8981\u627f\u8ba4\u7edf\u8ba1\u529b\u5b66\u7684\u516c\u7406\uff0c\u5305\u62ec\u7b49\u6982\u7387\u5047\u8bbe\u3001\u7cfb\u7efc\u5e73\u5747\u7684\u5047\u8bbe\u548c\u5404\u6001\u904d\u5386\u5047\u8bbe\u7b49\u7b49\uff0c\u624d\u80fd\u9884\u6d4b\u7cfb\u7edf\u7684\u6574\u4f53\u5b8f\u89c2\u6027\u8d28\u3002\u4e3a\u4e86\u89e3\u51b3\u590d\u6742\u7684\u591a\u4f53\u76f8\u4e92\u4f5c\u7528\u95ee\u9898\uff0c\u4e0d\u540c\u4f53\u7cfb\u7684\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\u8fd8\u5e38\u5e38\u5f15\u5165\u5f88\u591a\u91cd\u8981\u7684\u8fd1\u4f3c\u601d\u60f3\uff0c\u5982\u7b49\u6548\u4ecb\u8d28\u3001\u5e73\u5747\u573a\u3001\u91cd\u6574\u5316\u7fa4\u7b49\uff0c\u5927\u91cf\u8fd0\u7528\u4e86\u8fd1\u4ee3\u6570\u5b66\u548c\u7406\u8bba\u7269\u7406\u7684\u601d\u60f3\u548c\u624b\u6bb5\uff0c\u4e8b\u5b9e\u4e0a\u96be\u4ee5\u5b8c\u5168\u5730\u5d4c\u5165\u5230\u5316\u5b66\u4e0e\u6750\u6599\u5b66\u79d1\u7684\u672c\u79d1\u6559\u5b66\u4f53\u7cfb\u4e2d\u3002 \u8fd1\u4ee3\u8f6f\u51dd\u805a\u6001\u7269\u7406\u7684\u53d1\u5c55\u63d0\u4f9b\u4e86\u5927\u91cf\u590d\u6742\u6d41\u4f53\u4f53\u7cfb\u7684\u5fae\u89c2\u6a21\u578b\uff0c\u5927\u5927\u4e30\u5bcc\u4e86\u6d41\u53d8\u5b66\u7684\u5e94\u7528\u8303\u7574\uff0c\u56e0\u6b64\u8fd9\u4e9b\u4e0e\u6d41\u53d8\u5b66\u76f8\u5173\u7684\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\u4e5f\u5e38\u88ab\u7eb3\u5165\u6d41\u53d8\u5b66\u7684\u6559\u6750\u5f53\u4e2d\u3002\u5f88\u591a\u6d41\u53d8\u5b66\u6559\u6750\u90fd\u5305\u62ec\u4e86\u7279\u5b9a\u4f53\u7cfb\u7684\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\u7684\u4ecb\u7ecd\uff0c\u4f8b\u5982\u805a\u5408\u7269\u6d41\u53d8\u5b66\u7684\u5185\u5bb9\u5e38\u5e38\u5305\u62ec\u4ece\u94fe\u72b6\u5206\u5b50\u7684\u52a8\u529b\u5b66\u51fa\u53d1\u7684\u6d41\u53d8\u5b66\u6a21\u578b\u4ecb\u7ecd\u3002\u6d41\u53d8\u5b66\u9700\u8981\u7684\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u548c\u6570\u5b66\u57fa\u7840\u5219\u5e38\u5e38\u53ea\u5728\u5f00\u5934\u82b1\u4e00\u7ae0\u5de6\u53f3\u7684\u7bc7\u5e45\u8fdb\u884c\u5f88\u7b80\u8981\u7684\u4ecb\u7ecd\uff0c\u5e76\u5728\u540e\u7eed\u7ae0\u8282\u4e2d\u5c11\u7528\u6216\u4e0d\u7528\u3002\u81f3\u4e8e\u7edf\u8ba1\u529b\u5b66\u6a21\u578b\u6d89\u53ca\u7684\u66f4\u5e7f\u9614\u7684\u5e73\u8861\u6001\u7edf\u8ba1\u529b\u5b66\u57fa\u7840\uff0c\u5728\u4e00\u4e2a\u6d41\u53d8\u5b66\u6559\u6750\u7684\u6709\u9650\u7bc7\u5e45\u9650\u5236\u5185\u5c31\u66f4\u65e0\u6cd5\u4e00\u4e00\u9648\u5217\u4e86\u3002\u4e13\u95e8\u7684\u300a\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u300b\u3001\u300a\u5e73\u8861\u6001\u7edf\u8ba1\u529b\u5b66\u300b\u8bfe\u672c\u53c8\u90fd\u81ea\u6210\u4f53\u7cfb\uff0c\u76f8\u5173\u7684\u5185\u5bb9\u5e38\u5e38\u8d85\u51fa\u8f6f\u51dd\u805a\u6001\u7269\u7406\u548c\u6d41\u53d8\u5b66\u4e00\u822c\u5173\u6ce8\u7684\u8303\u7574\uff08\u4f8b\u5982\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u4e2d\u9488\u5bf9\u6676\u6001\u56fa\u4f53\u5f39\u6027\u7684\u7684\u5bf9\u79f0\u6027\u95ee\u9898\u3001\u5e73\u8861\u6001\u7edf\u8ba1\u529b\u5b66\u5e38\u5e38\u6ce8\u91cd\u91cf\u5b50\u7edf\u8ba1\u3001\u7535\u78c1\u573a\u54cd\u5e94\u7b49\uff09\u3002\u8fd9\u4e9b\u4e13\u95e8\u7684\u8bfe\u7a0b\u672c\u662f\u7269\u7406\u5b66\u4e13\u4e1a\u7684\u5b66\u751f\u7684\u5fc5\u4fee\u6216\u9009\u4fee\u8bfe\u7a0b\uff0c\u4e0d\u80fd\u6307\u671b\u5927\u90e8\u5206\u5316\u5b66\u6216\u6750\u6599\u7c7b\u4e13\u4e1a\u7684\u5b66\u751f\u90fd\u53bb\u5b66\u4e60\u3002\u56e0\u6b64\uff0c\u4eca\u5929\u7684\u9ad8\u5206\u5b50\u7814\u7a76\u9762\u4e34\u7684\u5c34\u5c2c\u662f\uff0c\u9ad8\u5206\u5b50\u4e13\u4e1a\u57f9\u517b\u7684\u672c\u79d1\u4e43\u81f3\u7814\u7a76\u751f\u7684\u6570\u7406\u57fa\u7840\u65e0\u6cd5\u6ee1\u8db3\u9ad8\u5206\u5b50\u5b66\u79d1\u524d\u6cbf\u7814\u7a76\u7684\u9700\u8981\u3002\u9ad8\u5206\u5b50\u4e13\u4e1a\u7684\u4ef7\u503c\u8d8a\u6765\u8d8a\u5c40\u9650\u4e8e\u4e3a\u5df2\u6709\u7684\u9ad8\u5206\u5b50\u5de5\u4e1a\u8f93\u51fa\u804c\u4e1a\u4eba\u624d\u3002\u4e8b\u5b9e\u4e0a\uff0c\u4eca\u5929\u5199\u5728\u5728\u9ad8\u5206\u5b50\u7269\u7406\u6559\u79d1\u4e66\u4e2d\u7684\u7edf\u8ba1\u7269\u7406\u7406\u8bba\u6210\u679c\uff0c\u5f53\u521d\u90fd\u662f\u7269\u7406\u5b66\u5bb6\u505a\u51fa\u6765\u7684\uff1b\u5f53\u65f6\u7684\u5927\u5b66\u8fd8\u9c9c\u6709\u4e13\u95e8\u7684\u9ad8\u5206\u5b50\u4e13\u4e1a\uff0c\u9ad8\u5206\u5b50\u95ee\u9898\u5c5e\u4e8e\u7269\u7406\u5b66\u7684\u524d\u6cbf\u95ee\u9898\u3002\u65e0\u5948\u7684\u662f\u5f53\u9ad8\u5206\u5b50\u53d1\u5c55\u5230\u81ea\u5df1\u6210\u4e3a\u72ec\u7acb\u672c\u79d1\u4e13\u4e1a\u7684\u4eca\u5929\uff0c\u53cd\u800c\u53d1\u73b0\u9664\u9ad8\u5206\u5b50\u4e13\u4e1a\u81ea\u5df1\u57f9\u517b\u7684\u4eba\u624d\u4e4b\u5916\uff0c\u5df2\u5c11\u6709\u7406\u8bba\u7269\u7406\u80cc\u666f\u7684\u4eba\u58eb\u52a0\u5165\u5230\u9ad8\u5206\u5b50\u7269\u7406\u7684\u7814\u7a76\u4e2d\u6765\u4e86\u3002\u8fd9\u4e5f\u8bb8\u662f\u6070\u6070\u662f\u56e0\u4e3a\u201c\u9ad8\u5206\u5b50\u5b66\u79d1\u6709\u81ea\u5df1\u7684\u672c\u79d1\u4e13\u4e1a\u201d\u5df2\u6210\u4e3a\u6240\u6709\u4eba\u7684\u5370\u8c61\uff0c\u5176\u4ed6\u5b66\u79d1\u7684\u4eba\u9c9c\u6709\u201c\u8d8a\u6b82\u4ee3\u75b1\u201d\u8005\u3002\u56e0\u6b64\uff0c\u9ad8\u5206\u5b50\u7269\u7406\u524d\u6cbf\u7814\u7a76\u7684\u4eba\u624d\uff0c\u4eca\u540e\u4e00\u6bb5\u65f6\u95f4\u4ecd\u9700\u9760\u9ad8\u5206\u5b50\u4e13\u4e1a\u81ea\u5df1\u7684\u57f9\u517b\u65b9\u6848\u6765\u89e3\u51b3\u3002\u9762\u5411\u9ad8\u5206\u5b50\u80cc\u666f\u4e43\u81f3\u6750\u6599\u5b66\u80cc\u666f\u7684\u6559\u79d1\u4e66\u4e0d\u4ec5\u4e0d\u5e94\u8be5\u56de\u907f\u5fc5\u8981\u7684\u6570\u5b66\u548c\u7269\u7406\u57fa\u7840\u53bb\u4f5c\u7b80\u5316\uff0c\u800c\u4e14\u8fd8\u8981\u4e0d\u7167\u642c\u9762\u5411\u7269\u7406\u5b66\u80cc\u666f\u7684\u6559\u6750\u60ef\u4f8b\uff0c\u800c\u91cd\u65b0\u4e3a\u5316\u7c7b\u5b66\u751f\u4e13\u95e8\u53bb\u64b0\u5199\u3002","rel":"","context":"In "\u73ed\u4e3b\u4efb"","block_context":{"text":"\u73ed\u4e3b\u4efb","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/category\/%e7%8f%ad%e4%b8%bb%e4%bb%bb"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":7864,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/7864","url_meta":{"origin":9022,"position":1},"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 "\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":9291,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9291","url_meta":{"origin":9022,"position":2},"title":"\u201c\u5fae\u6d41\u53d8\u201d\u672f\u8bed\u53f2","author":"Andrew","date":"2025\u5e7410\u670819\u65e5","format":false,"excerpt":"\u201c\u5fae\u6d41\u53d8\u201d\uff08microrheology\uff09\u5728\u6700\u8fd1\u51e0\u5e74\u7684\u6587\u732e\u4e2d\u662f\u4e13\u6307III. \u901a\u8fc7\u80f6\u4f53\u7c92\u5b50\u7684\u70ed\u8fd0\u52a8\u7edf\u8ba1\u89c4\u5f8b\u53cd\u63a8\u60ac\u6d6e\u4ecb\u8d28\u7684\u6d41\u53d8\u6027\u8d28\u7684\u4e00\u79cd\u5b9e\u9a8c\u7814\u7a76\u3002\u8fd9\u4e5f\u662f\u6211\u73b0\u5728\u7814\u7a76\u65b9\u5411\u4e4b\u4e00\u3002\u4f46\u662f\uff0c\u8fd9\u4e2a\u672f\u8bed\u6700\u65e9\u7684\u610f\u4e49\u8ddf\u73b0\u5728\u6709\u4e9b\u533a\u522b\u3002 \u6839\u636e\u6211\u67e5\u5230\u7684\u7ed3\u679c\uff0c\u201cmicrorheology\u201d\u4e00\u8bcd\u6700\u65e9\u51fa\u73b0\u5728M. Reiner\u7684\u6d41\u53d8\u5b66\u8bb2\u4e49\uff08Markus Reiner (1943), Ten Lectures on Theoretical Rheology, Rubin Mass\uff09\u4e2d\u7684\u7b2c\u4e03\u8bb2\u3002\u8fd9\u4e2a\u5957\u8bb2\u4e49\u540e\u6765\u5206\u522b\u57281949\u5e74\u548c1960\u5e74\u51fa\u4e86\u7b2c\u4e8c\u548c\u7b2c\u4e09\u7248\u3002\u7b2c\u4e09\u7248\u6709\u4e2d\u8bd1\u672c\uff1aM. \u96f7\u8bb7\u8457\uff0c\u90ed\u6709\u4e2d\u7b49\u8bd1\u300a\u7406\u8bba\u6d41\u53d8\u5b66\u8bb2\u4e49\u300b\uff0c\u7531\u79d1\u5b66\u51fa\u7248\u793e\u4e8e1965\u51fa\u7248\u3002\u5728\u5f53\u65f6\u8fd9\u4e2a\u8bcd\u5927\u6982\u662f\u6307I. \u4ece\u5fae\u89c2\u7ed3\u6784\u63a8\u51fa\u5b8f\u89c2\u7cfb\u7edf\u6d41\u53d8\u5b66\u6027\u8d28\u7684\u7406\u8bba\u7814\u7a76\uff0c\u4f3c\u4e4e\u662f\u7528\u4e8e\u4e0e\u57fa\u4e8e\u8fde\u7eed\u4ecb\u8d28\u5047\u5b9a\u7684\u7406\u8bba\u76f8\u533a\u522b\u3002\u540e\u8005\u88ab\u79f0\u4f5c\u201cmacrorheology\u201d\u3002 \u5927\u6982\u76f8\u540c\u7684\u65f6\u671f\uff0c\u80f6\u4f53\u7c92\u5b50\u60ac\u6d6e\u6db2\u6d41\u53d8\u5b66\u7684\u5148\u9a71Stanley G. Mason\uff081914-1987\uff09\u5927\u91cf\u4f7f\u7528\u8fd9\u4e2a\u8bcd\u6765\u63cf\u8ff0\u4ed6\u7814\u7a76\u7684\u95ee\u9898\u3002\u5173\u4e8eMason\u7ecf\u5386\u7684\u4e00\u4e9b\u8d44\u6599\u53ef\u89c1\u4ed6\u7684\u81ea\u8ff0\u548c\u540e\u8f88\u5199\u7684appreciation\u3002Mason\u57281950\u5e74\u4ee3\u5c31\u5f00\u59cb\u6b63\u5f0f\u7814\u7a76\u60ac\u6d6e\u7c92\u5b50\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u3002\u4ed6\u521b\u7acb\u7684\u7814\u7a76\u65b9\u6cd5\u662fII. \u901a\u8fc7\u5b9e\u9a8c\u89c2\u5bdf\u7c92\u5b50\u5468\u56f4\u7684\u6d41\u573a\u6765\u9a8c\u8bc1\u6d41\u4f53\u52a8\u529b\u5b66\u7406\u8bba\u3002\u56e0\u6b64\uff0c\u5230\u4e86Mason\u8fd9\u91cc\uff0c\u201cmicrorheology\u201d\u7684\u610f\u4e49\u5c31\u4ece\u7406\u8bba\u6a21\u578b\u53d8\u4e3a\u5b9e\u9a8c\u624b\u6bb5\u3002Mason\u4e5f\u63a8\u5bfc\u8fc7\u80f6\u4f53\u6d41\u53d8\u5b66\u7406\u8bba\uff0c\u4f46\u4ed6\u548c\u4ed6\u7684\u5b66\u751f\u4e0d\u7528\u201cmicrorheology\u201d\u4e00\u8bcd\u63cf\u8481\u8fd9\u4e9b\u7406\u8bba\u5de5\u4f5c\u3002 Mason\u7684\u53ca\u5176\u5b66\u751f\u7684\u540e\u7eed\u5de5\u4f5c\u4e00\u76f4\u6301\u7eed\u52301970\u5e74\u4ee3\u3002\u5728\u8fd9\u6bb5\u65f6\u95f4\uff0c\u201cmicrorheology\u201d\u4e00\u8bcd\u51e0\u4e4e\u53ea\u51fa\u73b0\u5728\u4ed6\u4eec\u53d1\u8868\u7684\u5de5\u4f5c\u5f53\u4e2d\u3002\u4e5f\u6709\u96f6\u661f\u613f\u610f\u4f7f\u7528Reiner\u8bb2\u4e49\u7684\u8001\u610f\u4e49\u7684\u8bba\u6587\uff0c\u5305\u62ec\u51af\u5143\u6862\u5148\u751f\u30021970\u5e74\u4ee3\uff0c\u201cmicrorheology\u201d\u4e00\u8bcd\u88ab\u8840\u6db2\u6d41\u53d8\u5b66\u9886\u57df\u5927\u91cf\u91c7\u7528\uff0c\u8fd9\u4e5f\u4ecd\u662f\u5f52\u56e0\u4e8eMason\u7684\u5de5\u4f5c\u5bf9\u8fd9\u4e00\u9886\u57df\u7684\u5f71\u54cd\u529b\u3002 \u6211\u80fd\u627e\u5230\u7684\u7b2c\u4e00\u4e2a\u610f\u4e49\u53d8\u6210\u73b0\u5728\u7684\u7b2cIII\u79cd\u7684\u6700\u65e9\u8bba\u6587\u662f1985\u5e74\u7684\u4e00\u7bc7\u8bba\u6587\u3002 \u4e0e\u201cmicrorheology\u201d\u4e00\u8bcd\u5341\u5206\u76f8\u5173\u7684\u8fd8\u6709\u201cmicroviscosity\u201d\u3002\u8fd9\u4e2a\u8bcd\u53cd\u800c\u6700\u65e9\u5c31\u8fbe\u5230\u4e86\u4eca\u5929\u5bf9microrheology\u5e94\u8be5\u8fbe\u5230\u7684\u7406\u89e3\u3002\u57281929\u5e74\u7684\u7b2c\u4e00\u5c4a\u7f8e\u56fd\u6d41\u53d8\u5b66\u5e74\u4f1a\u4e0a\uff0cE. Kraemer & R. Williamson\u533a\u5206\u4e86\u51e0\u4e2a\u5c42\u6b21\u7684\u201c\u6469\u64e6\u201d\uff08friction\uff09\u3002\u4e00\u662f\u5b8f\u89c2\u4f53\u7cfb\u7684\u7c98\u5ea6\uff0c\u4e8c\u662f\u7c92\u5b50\u4e0e\u5468\u56f4\u6d41\u573a\u754c\u9762\u5904\u7684\u6469\u64e6\uff0c\u4e09\u662f\u7c92\u5b50\u5f62\u53d8\u7684\u5185\u90e8\u6469\u64e6\u3002\u201cmicroviscosity\u201d\u6307\u7684\u5c31\u662f\u5728IV. \u5fae\u89c2\u5c3a\u5ea6\u4e0b\u7684\u7c98\u5ea6\u2014\u2014\u5b83\u5e38\u5e38\u4e0e\u5b8f\u89c2\u5c3a\u5ea6\u4e0b\u5bf9\u540c\u4e00\u7cfb\u7edf\u6d4b\u5f97\u7684\u7c98\u5ea6\u660e\u663e\u4e0d\u540c\u3002\u8fd9\u4ef6\u4e8b\u65e9\u5728\u201c\u80f6\u4f53\u201d\uff08colloid\uff09\u4e00\u8bcd\u7684\u675c\u64b0\u8005Thomas Graham\u57281861\u5e74\u7684\u7814\u7a76\u4e2d\u5c31\u53d1\u73b0\u4e86\u3002\u76d0\u5728\u660e\u80f6\u6216\u743c\u8102\u51dd\u80f6\u4e2d\u7684\u6269\u6563\u6bd4\u5c11\u6162\u4e0d\u4e86\u591a\u5c11\uff0c\u4f46\u524d\u8005\u7684\u7c98\u5ea6\u6bd4\u6c34\u9ad8\u597d\u51e0\u4e2a\u6570\u91cf\u7ea7\u3002\u56e0\u6b64\u8fd9\u4ee4\u4eba\u76f8\u4fe1\uff0c\u5fae\u89c2\u5c3a\u5ea6\u7269\u4f53\u611f\u53d7\u5230\u7684\u6db2\u4f53\u7684\u7c98\u5ea6\u662f\u8ddf\u5b8f\u89c2\u6d4b\u91cf\u503c\u4e0d\u540c\u7684\u3002\u5177\u4f53\u5728\u8fd9\u4e00\u5b9e\u9a8c\u73b0\u8c61\u4e2d\uff0c\u7814\u7a76\u8005\u751a\u81f3\u662f\u901a\u8fc7\u6269\u6563\u7684\u6548\u679c\u6765\u7406\u89e3\u7c98\u5ea6\u3002\u8fd9\u662f\u5728Einstein--Stokes\u5173\u7cfb\u7684\u7406\u8bba\u57fa\u7840\u4e0a\u7684\u8ba4\u8bc6\u89d2\u5ea6\uff0c\u628a\u5b9e\u9a8c\u7ed3\u679c\u5173\u4e8eEinstein--Stokes\u5173\u7cfb\u7684\u504f\u79bb\u5f53\u4f5c\u7c98\u5ea6\u4e0d\u540c\u3002\u4eca\u5929\u6211\u4eec\u8fd8\u6709\u53e6\u4e00\u79cd\u505a\u6cd5\uff0c\u90a3\u5c31\u662f\u628a\u5b9e\u9a8c\u7ed3\u679c\u5173\u4e8eEinstein--Stokes\u5173\u7cfb\u7684\u504f\u79bb\u5f53\u4f5c\u534a\u5f84\u4e0d\u540c\uff0c\u5b9a\u4e49\u51fa\u201c\u6d41\u4f53\u52a8\u529b\u5b66\u534a\u5f84\u201d\u3002\u8fd9\u4e24\u54b1\u505a\u6cd5\u7684\u4eba\u4e4b\u95f4\u5f88\u5c11\u770b\u5230\u6709\u4ea4\u53c9\u7684\uff0c\u66f4\u522b\u8bf4\u6709\u4eba\u53bbreconcile\u8fd9\u4e24\u8005\u3002\u8fd9\u53ef\u80fd\u662f\u7531\u4e8e\u5b9e\u9a8c\u65b9\u6cd5\u4e0d\u540c\u3002\u4e00\u6d3e\u4eba\u6d4b\u91cf\u5b8f\u89c2\u7cfb\u7edf\u7684\u7c98\u5ea6\uff0c\u548c\u5206\u5b50\u7684\u6269\u6563\u7cfb\u6570\u3002\u7531\u4e8e\u5206\u5b50\u7ed3\u6784\u662f\u660e\u786e\u7684\uff0c\u8fd9\u6d3e\u4eba\u662f\u4e0d\u4f1a\u6000\u7591\u5206\u5b50\u8fd8\u6709\u53e6\u4e00\u79cd\u201c\u534a\u5f84\u201d\u3002\u53e6\u4e00\u6d3e\u4eba\u7528\u52a8\u6001\u5149\u6563\u5c04\u6d4b\u80f6\u4f53\u7c92\u5b50\u5728\u60ac\u6d6e\u6db2\u4e2d\u6216\u805a\u5408\u7269\u5728\u6eb6\u6db2\u4e2d\u7684\u534a\u5f84\uff0c\u5e76\u4e0e\u7535\u5b50\u663e\u5fae\u955c\u6216\u89d2\u5ea6\u4f9d\u8d56\u6563\u5c04\u7684\u7ed3\u679c\uff08\u5747\u65b9\u56de\u8f6c\u534a\u5f84\uff09\u76f8\u6bd4\u8f83\u3002\u7279\u522b\u662f\u5bf9\u4e8e\u805a\u5408\u7269\u8bd5\u6837\uff0c\u7531\u4e8e\u5176\u5206\u5b50\u5c3a\u5bf8\u53ea\u6709\u5e73\u5747\u6982\u5ff5\uff0c\u5728\u6eb6\u6db2\u4e2d\u7684\u5e73\u5747\u5c3a\u5bf8\u8fd8\u53d7\u6eb6\u5242\u6eb6\u8d28\u76f8\u4e92\u4f5c\u7528\u4ee5\u53ca\u6d41\u4f53\u52a8\u529b\u5b66\u76f8\u4e92\u4f5c\u7528\u7684\u5f71\u54cd\u3002\u800c\u6269\u6563\u7cfb\u6570\u88ab\u9690\u542b\u5728\u52a8\u6001\u5149\u6563\u5c04\u7684\u57fa\u672c\u539f\u7406\u5f53\u4e2d\u3002","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":8462,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8462","url_meta":{"origin":9022,"position":3},"title":"\u6db2\u4f53\u7269\u7406\u3001\u6d41\u53d8\u5b66\u4e0e\u6d41\u4f53\u529b\u5b66","author":"Andrew","date":"2022\u5e746\u670816\u65e5","format":false,"excerpt":"\u6211\u5728\u77e5\u4e4e\u7f51\u7ad9\u5199\u4e86\u4e00\u4e2a\u56de\u7b54\u4ecb\u7ecd\u6db2\u4f53\u7269\u7406\u3002\u4f46\u7531\u4e8e\u539f\u95ee\u9898\u662f\u5728\u95ee\u201c\u80fd\u5426\u4ece\u7edf\u8ba1\u529b\u5b66\u63a8\u51fa\u6d41\u4f53\u529b\u5b66\u201d\uff0c\u56e0\u6b64\u9020\u6210\u4e86\u4e00\u4e9b\u4eba\u7684\u7591\u95ee\u5c31\u662f\uff0c\u4e3a\u4f55\u8fd9\u4e9b\u8003\u8651\u5e73\u8861\u6001\u6216\u8fd1\u5e73\u8861\u6001\u5f3a\u5173\u8054\u6027\u8d28\u7406\u8bba\u4f1a\u662f\u5bf9\u8fd9\u4e2a\u95ee\u9898\u7684\u4e00\u4e2a\u56de\u7b54\u3002\u4ed6\u4eec\u8ba4\u4e3a\u8fd9\u4e9b\u4e0d\u662f\u201c\u6d41\u4f53\u529b\u5b66\u201d\uff0c\u6d41\u4f53\u529b\u5b66\u5173\u5fc3\u8fde\u7eed\u4ecb\u8d28\u5728\u5b88\u6052\u5f8b\u4e0b\u7684\u6d41\u52a8\u95ee\u9898\uff0c\u8bf4\u767d\u4e86\u6d41\u4f53\u529b\u5b66\u5173\u5fc3\u7684\u5c31\u662fNS\u65b9\u7a0b\u3002\u8fd9\u6837\u7684\u7591\u95ee\u5df2\u7ecf\u4e0d\u51fa\u6211\u6240\u6599\u3002\u957f\u671f\u4ee5\u6765\uff0c\u4f5c\u4e3a\u8bfe\u7a0b\u7684\u201c\u6d41\u4f53\u529b\u5b66\u201d\u4e3b\u8981\u5185\u5bb9\u786e\u5b9e\u5c31\u662f\u8fd9\u6837\u7684\u3002\u901a\u8fc7\u201c\u987e\u540d\u601d\u4e49\u201d\u628a\u6d41\u4f53\u529b\u5b66\u76f4\u63a5\u7406\u89e3\u4e3a\u201c\u6d41\u4f53\u7684\u529b\u5b66\u201d\u7684\u4e3b\u5f20\u5e76\u4e0d\u4e3b\u6d41\uff0c\u66f4\u4e0d\u662f\u9ed8\u8ba4\u7684\u3002 \u76f4\u63a5\u89e3\u91ca\u8fd9\u4ef6\u4e8b\u60c5\u4e0d\u662f\u672c\u6587\u7684\u76ee\u7684\u3002\u672c\u6587\u5173\u5fc3\u7684\u662f\u4e3a\u4ec0\u4e48\u6d41\u4f53\u529b\u5b66\u4f1a\u81f3\u4eca\u4fdd\u6301\u5728\u8fd9\u4e48\u7a84\u7684\u5173\u6ce8\u8303\u56f4\uff0c\u6211\u731c\u6d4b\u8fd9\u662f\u6d41\u53d8\u5b66\u7684\u8bde\u751f\u9020\u6210\u7684\u3002 \u6d41\u53d8\u5b66\uff08rheology\uff09\u53e6\u7acb\u95e8\u6237\u662fBingham\u7684\u4e3b\u610f\uff0c\u8fd9\u5728 Reiner\u8457\u540d\u7684\u6563\u6587\u4e2d\u5c31\u8bb0\u8f7d\u4e86\u3002 When I arrived, Bingham said to me, \u201cHere you, a civil engineer, and I, a chemist, are working together at joint problems. With the development of colloid chemistry, such a situation will be more and more common. We therefore must establish a branch of physics where\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":6221,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6221","url_meta":{"origin":9022,"position":4},"title":"J. Chem. Educ.\u4e0a\u7684\u6d41\u53d8\u5b66","author":"Andrew","date":"2015\u5e741\u670828\u65e5","format":"aside","excerpt":"\u6211\u4e00\u76f4\u90fd\u8ba2\u9605ACS\u7684J. Chem. Educ.\u671f\u520a\uff0c\u53d1\u73b0\u6700\u8fd1\u5bc6\u96c6\u51fa\u73b0\u4e86\u51e0\u7bc7\u5173\u4e8e\u6d41\u53d8\u5b66\u7684\u6587\u7ae0\uff0c\u8fd9\u5c31\u8ba9\u6211\u60f3\u8d77\u53bb\u627e\u627eJ. Chem. Educ.\u4ece\u521b\u520a\u4ee5\u6765\u5173\u4e8e\u6d41\u53d8\u5b66\u7684\u6587\u7ae0\u90fd\u6709\u54ea\u4e9b\u3002 \u7528rheology\u4e3a\u5173\u952e\u8bcd\uff0c\u641c\u51fa\u6765\u7684\u7ed3\u679c\u5176\u5b9e\u5e76\u4e0d\u591a\uff0c\u4f46\u662f\u91cc\u9762\u4e5f\u6709\u5f88\u591a\u6709\u610f\u601d\u7684\u4e1c\u897f\u3002\u6211\u6311\u9009\u4e86\u4e00\u4e9b\u51fa\u6765\u3002 1929\u5e74\u6b63\u662f\u7f8e\u56fd\u6d41\u53d8\u5b66\u4f1a\u6210\u7acb\u7684\u90a3\u5e74\uff0cBingham\u5728J. Chem. Educ.\u53d1\u8868\u4e86\u4e24\u7bc7\u6587\u7ae0\u6765\u4ecb\u7ecd\u8fd9\u4e2a\u65b0\u7684\u5b66\u79d1\u3002\u4ed6\u4e3b\u8981\u5f3a\u8c03\u4e86\u9664\u4e86\u5c42\u6d41\u548c\u6e4d\u6d41\u4e4b\u5916\u8fd8\u6709\u201c\u7b2c\u4e09\u79cd\u6d41\u201d\u5c31\u662f\u5c48\u670d\u548c\u5851\u6027\u6d41\u52a8\u3002\u4ed6\u5176\u5b9e\u4e5f\u5f3a\u8c03\u4e86\u8fd9\u79cd\u6d41\u52a8\u6027\u8d28\u662f\u80f6\u4f53\u7269\u8d28\u7684\u7279\u5f81\u3002\u6bd5\u7adf\uff0c\u5bbe\u6c49\u6d41\u4f53\u662f\u4ee5\u4ed6\u540d\u5b57\u547d\u540d\u7684\u30021930\u5e74\uff0cJ. Chem. Educ.\u62a5\u9053\u4e86\u6d41\u53d8\u5b66\u4f1a\u5728\u7f8e\u56fd\u56fd\u5bb6\u6807\u51c6\u5c40\u53ec\u5f00\u7684\u6d88\u606f\uff0c\u5217\u51fa\u4e86\u90e8\u5206\u4f1a\u8bae\u8bba\u6587\u53ca\u4f5c\u8005\uff0c\u5176\u4e2d\u6709Bingham\u3001Reiner\u548cScott-Blair\u8fd9\u51e0\u4e2a\u8457\u540d\u7684\u7b2c\u4e00\u4ee3\u6d41\u53d8\u5b66\u5bb6\u3002\u5176\u4e2dReiner\u6f14\u8bb2\u9898\u76ee\u7adf\u7136\u53eb\u505aThe General Equation of Flow!\uff08\u539f\u6807\u9898\u5c31\u542b\u611f\u53f9\u53f7\uff09\uff0c\u8ba9\u6211\u5f88\u597d\u5947\u6f14\u8bb2\u7684\u5185\u5bb9\u662f\u600e\u4e48\u6837\u7684\u3002 \u65f6\u95f4\u4e00\u4e0b\u5b50\u8df3\u5230\u4e8660\u5e74\u4ee3\uff0cFerry\u5728J. Chem. Educ.\u4e0a\u4ecb\u7ecd\u6d41\u53d8\u5b66\uff0c\u4e3b\u8981\u5173\u6ce8\u70b9\u5c31\u662f\u9ad8\u5206\u5b50\u6d41\u53d8\u5b66\u4e86\u3002\u4ed6\u5b9e\u8d28\u4e0a\u4ecb\u7ecd\u4e86\u7c98\u5f39\u6027\u7684\u6982\u5ff5\uff0c\u4f46\u8bed\u8a00\u4e0a\u662f\u8bf4\u201c\u6d41\u4f53\u4e5f\u80fd\u50a8\u5b58\u80fd\u91cf\u201d\uff0c\u539f\u56e0\u5c31\u662f\u201c\u5206\u5b50\u94fe\u88ab\u63a5\u4f38\u201d\u3002\u6587\u7ae0\u4e0d\u53ef\u907f\u514d\u5730\u4e5f\u89e3\u91ca\u4e86\u4e00\u4e9b\u201c\u71b5\u5f39\u6027\u201d\u6982\u5ff5\u3002\u6700\u540e\u4ecb\u7ecd\u4e86\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u677e\u5f1b\u8c31\u3002 Weissenberg\u6548\u5e94\u662f1940\u5e74\u4ee3\u53d1\u73b0\u7684\u3002\u4f46\u662f\u5176\u539f\u56e0\u4e00\u76f4\u523060\u5e74\u4ee3\u8fd8\u4e0d\u662f\u5f88\u6e05\u695a\uff0c\u8fd8\u5904\u4e8e\u53d1\u73b0\u54ea\u4e9b\u7269\u8d28\u4f1a\u6709\u8fd9\u4e2a\u6548\u5e94\u7684\u9636\u6bb5\u30021961\u5e74Nature\u4e0a\u7684\u4e00\u7bc7\u6587\u7ae0\uff0c\u5176\u5185\u5bb9\u5c31\u662f\u53d1\u73b0\u86cb\u767d\u6709Weissenberg\u6548\u5e94\u3002\u5728J. Chem. Educ.\u4e0a\u4e5f\u6709\u4e00\u7bc7\u6587\u7ae0\uff0c\u8bf4\u660e\u80f6\u53ef\u4ee5\u4f5c\u4e3a\u6f14\u793aWeissenberg\u6548\u5e94\u7684\u65b9\u4fbf\u7684\u6750\u6599\u3002 \u6d41\u53d8\u5b66\u6b63\u5f0f\u63d0\u51fa\u662f1920\u5e74\u3002\u8fd9\u521a\u597d\u4e5f\u662fStaudinger\u53d1\u8868\u300a\u8bba\u805a\u5408\u300b\u7684\u90a3\u5e74\uff0c\u9ad8\u5206\u5b50\u6982\u5ff5\u8fd8\u6ca1\u6709\u88ab\u5e7f\u6cdb\u63a5\u53d7\u3002\u6240\u4ee5\uff0c\u5f15\u8d77\u5b66\u8005\u5173\u6ce8\u590d\u6742\u6d41\u4f53\u7684\u6d41\u53d8\u73b0\u8c61\u7684\uff0c\u90fd\u662f\u80f6\u4f53\u4f53\u7cfb\u6837\u54c1\uff08\u6216\u8005\u8bf4\u5728\u5f53\u65f6\u90fd\u53eb\u80f6\u4f53\uff09\u3002\u4e8b\u5b9e\u4e0a\uff0c\u5173\u4e8e\u7c98\u5f39\u6027\uff08\u5f53\u53ebelastic aftereffect\uff09\u3001\u7c98\u5ea6\u7684\u526a\u5207\u901f\u7387\u4f9d\u8d56\u6027\uff0c\u4eba\u4eec\u57281920\u5e74\u4ee5\u524d\u5df2\u7ecf\u8ba4\u8bc6\u5f97\u6bd4\u597d\u4e86\uff08\u4ee5Maxwell\u7528\u5fae\u5206\u65b9\u7a0b\u7684\u5f62\u5f0f\u63cf\u8ff0\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u666e\u904d\u5f62\u5f0f\u4e3a\u6807\u5fd7\uff09\u3002\u8fd9\u4e9b\u7814\u7a76\u4ee5\u864e\u514b\u548c\u725b\u987f\u4e3a\u6e90\u5934\uff0c\u7ecf\u8fc7\u6cca\u8083\u53f6\u3001\u67ef\u897f\u3001Maxwell\u548cBoltzmann\u7b49\u4eba\u8fdb\u5165\u5230\u4e8c\u5341\u4e16\u7eaa\uff0c\u672c\u6765\u5c31\u5df2\u7ecf\u5c5e\u4e8e\u6d41\u4f53\u529b\u5b66\u6216\u8005\u8fde\u7eed\u4f53\u529b\u5b66\u7684\u7814\u7a76\u8303\u56f4\u3002Reiner\u5728\u542c\u8bf4Bingham\u8981\u63d0\u51fa\u6d41\u53d8\u5b66\u4f5c\u4e3a\u4e00\u4e2a\u65b0\u7684\u5b66\u79d1\u65f6\u4e5f\u662f\u8fd9\u4e48\u56de\u590d\u7684\u3002\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u4e00\u7ebf\u7684\u7814\u7a76\u540e\u7eed\u8fd8\u6709Rivlin\u3001Oldroyd\u3001Noll\u3001Truesdell\u7b49\u4eba\u6cbf\u7740\u4f53\u529b\u5b66\u548c\u7406\u6027\u529b\u5b66\u7684\u8def\u5b50\u8d70\u4e0b\u53bb\uff0c\u53ea\u662f\u540e\u6765\u6d41\u53d8\u5b66\u771f\u7684\u5f62\u6210\u4e00\u4e2a\u5b66\u79d1\u4e4b\u540e\u628a\u4ed6\u4eec\u7684\u4e00\u4e9b\u5de5\u4f5c\u7eb3\u5165\u5230\u4e86\u81ea\u5df1\u5b66\u79d1\u7684\u7406\u8bba\u57fa\u7840\u800c\u5df2\u3002\u53ef\u4ee5\u8bf4\uff0c\u8fd9\u4e00\u7ebf\u7814\u7a76\u786e\u5b9e\u4e0d\u9700\u8981\u53e6\u5916\u518d\u8bbe\u7acb\u4e00\u4e2a\u5b66\u79d1\u3002\u6240\u4ee5Bingham\u5728J. Chem. Educ.\u4e0a\u7684\u6587\u7ae0\uff0c\u4e3a\u4e86\u786e\u7acb\u6d41\u53d8\u5b66\u8fd9\u4e00\u5b66\u79d1\uff0c\u660e\u786e\u5730\u6307\u51fa\u5927\u5bb6\u6240\u5ffd\u89c6\u7684\u6d41\u52a8\u662f\u5851\u6027\u6d41\u52a8\uff0c\u5373\u8ddf\u5f53\u65f6\u5173\u4e8e\u7c98\u5f39\u6027\u7684\u8fde\u7eed\u4ecb\u8d28\u672c\u6784\u65b9\u7a0b\u7814\u7a76\u65e0\u5173\u7684\u3001\u90a3\u79cd\u5177\u6709\u5c48\u670d\u5e94\u529b\u7684\u7ed3\u6784\u6d41\u4f53\u7684\u6d41\u52a8\uff08\u5728Bingham\u7684\u6587\u7ae0\u4e2d\u7684\u4f8b\u5b50\u662f\u4e00\u4e2a\u4e73\u6db2\u6837\u54c1\uff09\u3002\u4ed6\u8bf4\uff1a The hydraulicians were not aware that there is more than the one type of flow, and the type with which they were occupied did not\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":3664,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/3664","url_meta":{"origin":9022,"position":5},"title":"Cox-Merz rule\uff1a\u8868\u89c2\u7684\u666e\u904d\u6027\u548c\u7406\u8bba\u7684\u666e\u9002\u6027","author":"Andrew","date":"2011\u5e748\u670815\u65e5","format":false,"excerpt":"Mead, D. (2011). Analytic derivation of the Cox\u2013Merz rule using the MLD \"toy\" model for polydisperse linear polymers Rheologica Acta DOI: 10.1007\/s00397-011-0550-5\u524d\u6bb5\u65f6\u95f4\uff0c\u6211\u5bfc\u5e08\u7ed9\u8fc7\u6211\u4e00\u7bc7\u6d41\u53d8\u5b66\u5b9e\u9a8c\u7684\u7a3f\u5b50\u5e2e\u5fd9\u5ba1\u4e00\u4e0b\u3002\u6587\u7ae0\u662f\u5728\u6bd4\u8f83Giesekus\u548cPTT\u4e24\u4e2a\u6a21\u578b\uff0c\u5b9e\u9a8c\u4f53\u7cfb\u662f\u4e00\u79cd\u591a\u7cd6\u9ad8\u5206\u5b50\u6c34\u6eb6\u6db2\u3002\u5176\u4e2d\u4f5c\u8005\u5bf9\u6837\u54c1\u662f\u5426\u7b26\u5408Cox-Merz\u89c4\u5219\u8fdb\u884c\u4e86\u4e00\u4e0b\u9a8c\u8bc1\uff0c\u53d1\u73b0\u4f4e\u6d53\u5ea6\u7684\u6837\u54c1\u7b26\u5408\u89c4\u5219\uff0c\u9ad8\u6d53\u5ea6\u7684\u6837\u54c1\u5c31\u4e0d\u7b26\u5408\uff0c\u4e00\u822c\u6027\u5730\u8fdb\u884c\u4e86\u4e00\u4e0b\u89e3\u91ca\u3002\u6211\u53d1\u73b0\u8fd9\u7bc7\u7a3f\u5b50\u5b8c\u5168\u7167\u7740\u5df2\u53d1\u8868\u7684J. Rheol.\u8bba\u6587\u6765\u505a\u7684\uff0c\u53ea\u662f\u5b9e\u9a8c\u4f53\u7cfb\u4ece\u4e00\u79cd\u591a\u7cd6\u9ad8\u5206\u5b50\u6362\u6210\u4e86\u53e6\u4e00\u79cd\u591a\u7cd6\u9ad8\u5206\u5b50\u3002\u800c\u4e14\u6211\u5ba1\u7684\u7a3f\u5b50\u6ca1\u6709\u628aJ. Rheol.\u7684\u5de5\u4f5c\u90fd\u6a21\u4eff\u505a\u5168\uff0c\u6389\u4e86\u51e0\u4e2a\u91cd\u8981\u7684\u5b9e\u9a8c\uff0c\u53c8\u60f3\u8bd5\u56fe\u4e0bJ. Rheol.\u8bba\u6587\u6240\u4e0b\u7684\u7ed3\u8bba\uff0c\u56e0\u6b64\u5c31\u663e\u5f97\u7f3a\u4e4f\u652f\u6301\u3002\u4e0d\u8fc7\uff0c\u5728\u8fd9\u91cc\u6211\u4e3b\u8981\u60f3\u8bb2\u5173\u4e8eCox-Merz\u89c4\u5219\u7684\u95ee\u9898\u3002\u62ff\u4e2a\u6837\u54c1\u8bd5\u8bd5Cox-Merz\u89c4\u5219\u662f\u5f88\u8fc7\u65f6\u7684\u505a\u6cd5\u4e86\uff0c\u56e0\u4e3a\u8fd9\u6837\u7684\u5b9e\u9a8c\u62a5\u9053\u5df2\u7ecf\u975e\u5e38\u591a\u3002\u800c\u4e14\u7ecf\u9a8c\u4e0a\u4ec0\u4e48\u6837\u7684\u6837\u54c1\u4f1a\u7b26\u5408Cox-Merz\u89c4\u5219\uff0c\u4ec0\u4e48\u6837\u7684\u6837\u54c1\u5219\u4e0d\u7b26\u5408\uff0c\u5df2\u7ecf\u6bd4\u8f83\u6e05\u695a\u3002\u7406\u8bba\u4e0a\uff0c\u5404\u4e2a\u9ad8\u5206\u5b50\u672c\u6784\u6a21\u578b\u662f\u5426\u7b26\u5408Cox-Merz\u89c4\u5219\u4e5f\u65e9\u5c31\u6709\u7ed3\u8bba\u4e86\u3002\u6240\u4ee5\uff0c\u4eca\u5929\u518d\u62ff\u4e00\u4e2a\u6837\u54c1\u6765\u505a\u5b9e\u9a8c\uff0c\u65e0\u8bba\u7ed3\u679c\u7b26\u4e0d\u7b26\u5408Cox-Merz\u89c4\u5219\u90fd\u6ca1\u6709\u65b0\u610f\u3002\u56e0\u4e3a\u4f60\u603b\u80fd\u627e\u5230\u4e2a\u5728\u81f4\u7684\u89e3\u91ca\uff0c\u4e5f\u80fd\u627e\u5230\u4e00\u4e2a\u81ea\u5706\u5176\u8bf4\u7684\u672c\u6784\u6a21\u578b\u6765\u62df\u5408\u4e00\u4e0b\u3002\u6240\u6709\u8fd9\u4e9b\u90fd\u8d85\u4e0d\u51fa\u76ee\u524d\u7684\u8ba4\u8bc6\u6c34\u5e73\uff0c\u4e5f\u6df1\u5165\u4e0d\u5230\u5b9e\u8d28\u3002\u6240\u8c13\u6df1\u5165\u5230\u5b9e\u8d28\u5176\u5b9e\u5c31\u662f\u60f3\u628a\u73b0\u8c61\u7ed9\u7ed3\u6784\u8054\u7cfb\u8d77\u6765\u3002\u50cfGiesekus\u3001PTT\u8fd9\u4e9b\u6a21\u578b\u7531\u4e8e\u662f\u534a\u7ecf\u9a8c\u6a21\u578b\uff0c\u65e0\u8bba\u5b83\u4eec\u7b26\u4e0d\u7b26\u5408Cox-Merz\u6a21\u578b\uff0c\u90fd\u6ca1\u6df1\u5165\u5230\u5b9e\u8d28\u3002\u76ee\u524d\u9ad8\u5206\u5b50\u4f53\u7cfb\u552f\u4e00\u7684first principle\u6a21\u578b\u662f\u57fa\u4e8eDoi-Edwards\u7684reptation\u6a21\u578b\uff08DE\uff09\u3002\u6700\u539f\u59cb\u7684Doi-Edwards\u6a21\u578b\u5374\u4e0d\u80fd\u9884\u6d4bCox-Merz rule\uff0c\u8fd9\u8ddf\u5b9e\u9645\u89c2\u5bdf\u5230\u7684Cox-Merz rule\u7684\u666e\u904d\u6027\u76f8\u6096\u3002\u8fd1\u5e74\u6765\u5927\u5bb6\u4e0d\u60f3\u518d\u62ff\u201c\u5b9e\u9645\u6837\u54c1\u5e38\u5e38\u662f\u591a\u5206\u6563\u7684\u201d\u4f5c\u4e3a\u501f\u53e3\u6765\u89e3\u91ca\u5b9e\u9a8c\u4e0eDE\u6a21\u578b\u7684\u4e0d\u7b26\u4e86\uff0c\u56e0\u6b64\u5f15\u5165\u4e86convected constraint-release\uff08CCR\uff09\u548ccontour length fluctuation\uff08CLF\uff09\u4e24\u4e2a\u56e0\u7d20\uff0c\u6210\u4e3a\u4e86\u6700\u8fd1\u91cd\u71c3\u4f20\u7edf\u9ad8\u5206\u5b50\u7269\u7406\u5e0c\u671b\u7684\u70ed\u95e8\u8bdd\u9898\u3002CCR\u5e2eDE\u89e3\u51b3\u4e86\u5f88\u591a\u5c34\u5c2c\uff0c\u5c24\u5176\u662f\u771f\u6b63\u7684\u5927\u5e45\u5f62\u53d8\uff08\u5373\u6d41\u52a8\uff09\u60c5\u51b5\u4e0b\u7684\u5c34\u5c2c\u30021996\u5e74Marrucci\u5728J. Non-Newt. Fluid Mech.\u4e0a\u53d1\u8868\u4e86\u4e24\u7bc7\u6587\u7ae0\u660e\u786e\u5730\u6307\u51fa\u4e86\uff0c\u8981\u4f7fDE\u7b26\u5408Cox-Merz rule\uff0c\u9700\u8981\u8003\u8651CCR\u3002\u672c\u6587\u6240\u5f15\u7528\u7684\u6700\u65b0\u6587\u7ae0\uff08\u89c1\u5f00\u5934\uff09\u91c7\u7528\u4e861996\u5e74\u4e4b\u540e\u8fdb\u4e00\u6b65\u53d1\u5c55\u7684\u5206\u5b50\u6a21\u578b\uff0c\u5f97\u51fa\u4e86\u540c\u6837\u7684\u7ed3\u8bba\u3002\u8bda\u7136\uff0c\u8fd9\u5bf9\u4e8e\u9ad8\u5206\u5b50\u6d41\u53d8\u5b66\u7684\u7ed3\u6784\u7406\u8bba\u7814\u7a76\u6765\u8bf4\u662f\u53ef\u559c\u53ef\u8d3a\u7684\u4e8b\u60c5\u3002\u4f46\u662fCox-Merz\u7684\u666e\u9002\u6027\u5e76\u4e0d\u4ec5\u9650\u4e8e\u9ad8\u5206\u5b50\u4f53\u7cfb\u3002\u800c\u4e14\uff0c\u4e00\u4e9b\u4e0d\u7b26\u5408\u7b80\u5355Cox-Merz\u89c4\u5219\u7684\u6837\u54c1\u88ab\u53d1\u73b0\u80fd\u7b26\u5408\u6240\u8c13\u201c\u63a8\u5e7f\u7684\uff08generalized\uff09\u201dCox-Merz\u89c4\u5219\u3002\u6d41\u53d8\u5b66\u672c\u8eab\u662f\u4e00\u4e2a\u5b8f\u89c2\u5c3a\u5ea6\u7684\u73b0\u8c61\u5b66\u3002\u56e0\u6b64\uff0c\u4e3a\u6d41\u53d8\u5b66\u7ed3\u679c\u5efa\u6a21\u662f\u4e00\u4e2a\u975e\u5e38\u96be\u7684\u4e8b\u60c5\uff0c\u5c24\u5176\u662f\u8981\u4ece\u5206\u5b50\u5c3a\u5ea6\u5f00\u59cb\uff0c\u56e0\u4e3a\u8fd9\u8981\u8de8\u8d8a\u597d\u51e0\u4e2a\u7a7a\u95f4\u5c3a\u5ea6\u3002\u5f53\u524d\u7684\u6d41\u53d8\u5b66\u5b9e\u9a8c\u65b9\u6cd5\u6240\u8986\u76d6\u7684\u677e\u5f1b\u65f6\u95f4\u5c3a\u5ea6\u4e5f\u4e0d\u7a84\uff0c\u5c24\u5176\u662f\u968f\u7740\u201c\u5fae\u6d41\u53d8\u5b66\u201d\uff08microrheology\uff09\u65b9\u6cd5\u7684\u5174\u8d77\uff0c1010s\u7684\u8de8\u5ea6\u4e0d\u6210\u95ee\u9898\u3002\u5bf9\u4e8e\u5f88\u591a\u201c\u6162\u201d\u7684\u4f53\u7cfb\u5728\u592a\u77ed\u7684\u65f6\u95f4\u91cc\u662f\u975e\u5e73\u8861\u6001\uff0c\u5728\u957f\u65f6\u95f4\u91cc\u5f80\u5f80\u6709\u65b0\u7684\u73b0\u8c61\u51fa\u73b0\uff0c\u8fd9\u5bf9\u7406\u8bba\u5efa\u6a21\u63d0\u51fa\u4e86\u66f4\u9ad8\u7684\u8981\u6c42\uff0c\u8fd9\u53c8\u96be\u4e86\u4e00\u70b9\u3002\u6700\u96be\u7684\u5730\u65b9\uff0c\u5c31\u662f\u5728\u6d41\u53d8\u5b66\u4e0a\u7ecf\u5e38\u770b\u5230\u8de8\u4f53\u7cfb\u7684\u666e\u9002\u6027\u3002\u4f8b\u5982Cox-Merz\u89c4\u5219\uff0c\u5b83\u5728\u67d0\u4e9b\u805a\u5408\u7269\u548c\u67d0\u4e9b\u5206\u6563\u4f53\u7cfb\u4e2d\u90fd\u9002\u5408\u3002\u4f60\u901a\u8fc7\u6bd4\u5982\u8bf4CCR\u89e3\u91ca\u4e86\u805a\u5408\u7269\u4f53\u7cfb\u4e3a\u4f55\u80fd\u51faCox-Merz\u89c4\u5219\uff0c\u5bf9\u4e8e\u89e3\u91ca\u4e3a\u4f55\u5206\u6563\u4f53\u7cfb\u4e2d\u4e5f\u6709\u6b64\u89c4\u5219\u4e00\u70b9\u8d21\u732e\u90fd\u6ca1\u6709\u3002\u5047\u5982\u8bf4\u5bf9\u4e24\u79cd\u4f53\u7cfb\u5206\u522b\u7ed9\u51fa\u4e86\u4e0d\u540c\u7684\u3001\u5404\u81ea\u80fd\u591f\u81ea\u5706\u5176\u8bf4\u7684\u7406\u8bba\u89e3\u91ca\uff0c\u4f46\u662f\u8fd9\u4e24\u79cd\u7406\u8bba\u627e\u4e0d\u5230\u4efb\u4f55\u5171\u540c\u70b9\u7684\u8bdd\uff0c\u90a3\u6211\u4eec\u662f\u5426\u4ecd\u7136\u53ef\u4ee5\u8bf4\u8fd9\u4e24\u4e2a\u7406\u8bba\u5e76\u6ca1\u6709\u6210\u529f\uff1f\u5426\u5219\uff0c\u7269\u7406\u5b66\u5bb6\u5c31\u4e0d\u4f1a\u518d\u81f4\u529b\u4e8e\u7edf\u4e00\u56db\u5927\u57fa\u672c\u4f5c\u7528\u529b\u4e86\u3002\u56e0\u6b64\uff0c\u6211\u8ba4\u4e3a\u76ee\u524d\u5728Cox-Merz\u8fd9\u4e2a\u8bdd\u9898\u4e0a\u6709\u610f\u4e49\u7684\u8ba8\u8bba\u5e94\u8be5\u662f\u53bb\u89e3\u91ca\u5b83\u7684\u8de8\u4f53\u7cfb\uff08\u975e\uff09\u666e\u9002\u6027\u3002\u6d41\u53d8\u5b66\u884c\u4e3a\u5bf9\u6837\u54c1\u7684\u5316\u5b66\u7ed3\u6784\u4e0d\u654f\u611f\uff0c\u53ea\u5bf9\u6837\u54c1\u7684\u51e0\u4f55\u548c\u7c98\u5f39\u6027\u7ed3\u6784\u6bd4\u8f83\u654f\u611f\u3002\u53ef\u662f\uff0c\u51e1\u662f\u4ecetopology\u51fa\u53d1\u7684\u6a21\u578b\u603b\u662f\u88ab\u8ba4\u4e3a\u662f\u534a\u7ecf\u9a8c\uff0c\u975e\u8981\u4ece\u5177\u4f53\u4f53\u7cfb\u51fa\u53d1\u7684\u7406\u8bba\u624d\u89c9\u5f97\u6709\u7ed3\u6784\u57fa\u7840\u3002\u5bf9\u4e8e\u805a\u5408\u7269\uff0c\u603b\u8981\u4ece\u86c7\u884c\u5f00\u59cb\uff1b\u5bf9\u4e8e\u5206\u6563\u4f53\u7cfb\uff0c\u53c8\u603b\u8981\u4ece\u786c\u7403\u5f00\u59cb\u3002\u4e3a\u4e86\u6709\u671b\u7ed9\u51faCox-Merz\u89c4\u5219\u8de8\u4f53\u7cfb\u666e\u9002\u6027\u7684\u89e3\u91ca\uff0c\u81f3\u5c11\u8fd9\u4e24\u79cd\u4f53\u7cfb\u7684\u7406\u8bba\u53d1\u5c55\u5230\u4e86\u4e00\u5b9a\u7a7a\u95f4\u5c3a\u5ea6\u8981\u201c\u6b8a\u9014\u540c\u5f52\u201d\u624d\u884c\u3002","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":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/9022","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/comments?post=9022"}],"version-history":[{"count":6,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/9022\/revisions"}],"predecessor-version":[{"id":9028,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/9022\/revisions\/9028"}],"wp:attachment":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/media?parent=9022"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/categories?post=9022"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/tags?post=9022"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}