{"id":8462,"date":"2022-06-16T04:58:00","date_gmt":"2022-06-15T20:58:00","guid":{"rendered":"https:\/\/www.andrewsun.net\/panta_rhei\/?p=8462"},"modified":"2022-06-16T05:14:35","modified_gmt":"2022-06-15T21:14:35","slug":"%e6%b6%b2%e4%bd%93%e7%89%a9%e7%90%86%e3%80%81%e6%b5%81%e5%8f%98%e5%ad%a6%e4%b8%8e%e6%b5%81%e4%bd%93%e5%8a%9b%e5%ad%a6","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8462","title":{"rendered":"\u6db2\u4f53\u7269\u7406\u3001\u6d41\u53d8\u5b66\u4e0e\u6d41\u4f53\u529b\u5b66"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"8462\">\n\n<p>\u6211\u5728\u77e5\u4e4e\u7f51\u7ad9\u5199\u4e86<a href=\"https:\/\/www.zhihu.com\/question\/537458730\/answer\/2527715622\" target=\"_blank\" rel=\"noreferrer noopener\">\u4e00\u4e2a\u56de\u7b54<\/a>\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<\/p>\n\n\n\n<p>\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<\/p>\n\n\n\n<p>\u6d41\u53d8\u5b66\uff08rheology\uff09\u53e6\u7acb\u95e8\u6237\u662fBingham\u7684\u4e3b\u610f\uff0c\u8fd9\u5728 Reiner\u8457\u540d\u7684\u6563\u6587<span id=\"cite_ITEM-8462-0\" name=\"citation\"><a href=\"#ITEM-8462-0\">[1]<\/a><\/span>\u4e2d\u5c31\u8bb0\u8f7d\u4e86\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>When I arrived, Bingham said to me, <strong><em>\u201c<\/em><\/strong>Here 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 such problems will be delt with.\u201d<\/p><p>I said, \u201cThis branch of physics already exists; it is called mechanics of continuous media, or mechanics of continua.\u201d<\/p><p>\u201cNo, this will not do,\u201d Bingham replied. \u201cSuch a designation will frighten away the chemists.\u201d<\/p><p>So he consulted the professor of classical language and arrived at the designation of rheology, taking as the motto of the subject Heraclitus<strong>\u2019<\/strong> \u03c0\u0251\u03bd\u03c4\u0251 \u03c1\u03b5\u0269 or \u201ceverything flows.\u201d<\/p><cite>M. Reiner (1964)<\/cite><\/blockquote>\n\n\n\n<p>\u53ef\u89c1\uff0c\u5df2\u7ecf\u6709\u6d41\u4f53\u529b\u5b66\u4e86\uff0c\u5374\u8981\u53e6\u5916\u53d1\u5c55\u51fa\u6d41\u53d8\u5b66\uff0c\u6700\u521d\u662f\u4e3a\u4e86\u4e0e\u5316\u5b66\u5b66\u79d1\u4ea4\u53c9\u800c\u4e0d\u81f3\u4e8e\u5413\u8dd1\u5316\u5b66\u5bb6\u30021928\u5e74\u7684\u201c\u80f6\u4f53\u5316\u5b66\u201d\uff08colloid chemistry\uff09\u6982\u5ff5\u5176\u5b9e\u5305\u62ec\u7740\u9ad8\u5206\u5b50\u4f53\u7cfb\u3002\u56e0\u6b64\u6700\u591a\u4e5f\u53ea\u80fd\u8bf4\u201c\u6d41\u53d8\u5b66\u201d\u7684\u786e\u7acb\u662f\u4e3a\u4e86\u5173\u5fc3\u7c98\u5f39\u6027\u6d41\u4f53\u7684\u6d41\u52a8\u3002\u8fd9\u4ecd\u7136\u4e0d\u662f\u628a\u8fd9\u4e2a\u9886\u57df\u4ece\u6d41\u4f53\u529b\u5b66\u4e2d\u72ec\u7acb\u51fa\u6765\u7684\u575a\u5b9e\u7406\u7531\uff0c\u56e0\u4e3a\u7c98\u5f39\u6027\u6d41\u4f53\u4e5f\u662f\u6d41\u4f53\u3002<\/p>\n\n\n\n<p>\u4f46\u65e0\u8bba\u5982\u4f55\u5386\u53f2\u5c31\u662f\u8fd9\u6837\u53d1\u5c55\u7684\uff0c\u4ee5\u81f3\u5230\u4e861980\u5e74\uff0cC. Truesdell\u5728\u7b2c8\u5c4a\u56fd\u9645\u6d41\u53d8\u5b66\u5927\u4f1a\u4e0a\u7684\u5927\u4f1a\u62a5\u544a\u4e2d\u5f62\u5bb9\u8bf4\uff0c\u6709\u4e9b\u8c03\u76ae\u7684\u4eba\u4f1a\u5c06\u6d41\u53d8\u5b66\u5b9a\u4e49\u4e3a\u201c\u6d41\u53d8\u5b66\u5173\u5fc3\u7684\u662f\u6d41\u4f53\u529b\u5b66\u5bb6\u4e0d\u5173\u5fc3\u7684\u6d41\u4f53\u201d\u3002\u8bf4\u660e\u81ea\u6d41\u53d8\u5b66\u7684\u786e\u7acb\uff081928\u62161929\uff09\u4ee5\u6765\u7684\u8fd9\u534a\u4e2a\u4e16\u7eaa\uff0c\u6d41\u4f53\u529b\u5b66\u754c\u81ea\u89c9\u5730\u628a\u201c\u7c98\u5f39\u6027\u6d41\u4f53\u201d\u6392\u9664\u5728\u4e86\u81ea\u5df1\u7684\u5173\u5fc3\u8303\u56f4\u4e4b\u5916\u3002\u6211\u628a\u8fd9\u4ef6\u4e8b\u602a\u5728\u6d41\u53d8\u5b66\u7684\u53e6\u7acb\u95e8\u6237\u4e0a\uff0c\u53ef\u80fd\u7f3a\u4e4f\u76f4\u63a5\u7684\u7406\u7531\u3002\u4f46\u5408\u7406\u5730\u5047\u8bbe\u4e00\u4e0b\uff0c\u5982\u679c\u4e0d\u662f\u6070\u597d\u5728Staudinger\u53d1\u8868\u300a\u8bba\u805a\u5408\u300b\u6ca1\u591a\u4e45\u5c31\u201c\u4f53\u8d34\u5730\u201d\u3001\u201c\u6709\u9884\u89c1\u6027\u5730\u201d\u72ec\u7acb\u51fa\u6d41\u53d8\u5b66\uff0c\u90a3\u4e48\u4e8b\u540e\u9ad8\u5206\u5b50\u5316\u5b66\u3001\u7269\u7406\u53ca\u5de5\u4e1a\u7684\u5de8\u5927\u53d1\u5c55\uff08\u7279\u522b\u662f\u5728\u7b2c\u4e8c\u6b21\u4e16\u754c\u5927\u6218\u7684\u50ac\u5316\u4e0b\uff09\u5fc5\u7136\u628a\u5bf9\u7c98\u5f39\u6027\u6d41\u52a8\u7684\u8ba4\u8bc6\u8981\u6c42\u5230\u6d41\u4f53\u529b\u5b66\u5bb6\u7684\u5934\u4e0a\uff0c\u4ed6\u4eec\u5c06\u65e0\u6cd5\u56de\u907f\u3002<\/p>\n\n\n\n<p>\u5bf9\u7c98\u5f39\u6027\u7684\u5173\u6ce8\uff0c\u4f7f\u5f97\u201c\u672c\u6784\u5173\u7cfb\u201d\uff08constitutive relation\uff09\u6210\u4e86\u8003\u8651\u7684\u91cd\u70b9\u3002\u8fd9\u4f7f\u5f97\u6d41\u53d8\u5b66\u4e0e\u4f20\u7edf\u6d41\u4f53\u529b\u5b66\u5173\u5fc3\u7684\u5185\u5bb9\u4ea7\u751f\u4e86\u5f88\u5927\u7684\u5dee\u522b\u3002\u4f46\u662f\u672c\u6784\u5173\u7cfb\u4e0e\u5b88\u6052\u5f8b\u5171\u540c\u51b3\u5b9a\u7269\u4f53\u7684\u8fd0\u52a8\uff1b\u4ec5\u5b88\u6052\u5f8b\u662f\u65e0\u6cd5\u51b3\u5b9a\u7269\u4f53\u7684\u8fd0\u52a8\u7684\u3002\u8fd9\u5e76\u4e0d\u662f\u67d0\u4e00\u529b\u5b66\u5206\u652f\u7684\u7279\u6b8a\u4e3b\u5f20\uff0c\u800c\u662f\u7ecf\u5178\u529b\u5b66\u7684\u57fa\u672c\u81ea\u7136\u54f2\u5b66\u89c2\u70b9\u3002\u4f20\u7edf\u6d41\u4f53\u529b\u5b66\u5173\u5fc3\u7684\u53ea\u662f\u5047\u5b9a\u725b\u987f\u6d41\u4f53\u8fd9\u4e00\u4e2a\u672c\u6784\u5173\u7cfb\u65f6\u7684\u8fd0\u52a8\u3002\u5982\u679c\u653e\u5f00\u4e86\u672c\u6784\u5173\u7cfb\u7684\u9009\u62e9\uff0c\u5982\u4f55\u4f7f\u8fd9\u4e2a\u9009\u62e9\u4e0d\u6d41\u4e8e\u7eaf\u7cb9\u73b0\u8c61\u5b66\u6210\u4e86\u9996\u8981\u95ee\u9898\uff0c\u56e0\u6b64\u50ac\u751f\u51fa\u5173\u4e8e\u201c\u4e00\u5207\u672c\u6784\u5173\u7cfb\u5fc5\u987b\u6ee1\u8db3\u7684\u516c\u8bbe\u201d\u8fd9\u79cd\u8003\u8651\u548c\u76f8\u5e94\u7684\u672c\u6784\u5173\u7cfb\u7406\u8bba\u3002\u53ef\u60dc\u7684\u662f\u4ece\u8fd9\u4e9b\u516c\u8bbe\u51fa\u53d1\uff0c\u5c31\u7b97\u518d\u52a0\u4e0a\u4e00\u4e24\u6761\u7406\u60f3\u5047\u8bbe\uff0c\u6700\u591a\u4e5f\u53ea\u80fd\u5f97\u51fa\u4e00\u4e2a\u4e00\u822c\u7684\u6cdb\u51fd\u5173\u7cfb\u3002\u5e94\u7528\u4e0a\u91c7\u7528\u4f55\u79cd\u5f62\u5f0f\u7684\u672c\u6784\u5173\u7cfb\uff0c\u4ecd\u7136\u6d41\u4e8e\u73b0\u8c61\u5b66\u2014\u2014\u9664\u975e\u7ed3\u5408\u7edf\u8ba1\u529b\u5b66\uff0c\u4e3a\u672c\u6784\u5173\u7cfb\u627e\u5230\u5fae\u89c2\u7684\u8fd8\u539f\u8bba\u57fa\u7840\u3002\u5728\u8fd9\u4ef6\u4e8b\u60c5\u4e0a\uff0c\u7c98\u5f39\u6027\u7684\u5fae\u89c2\u672c\u8d28\u5c31\u662f\u65f6\u95f4\u548c\u7a7a\u95f4\u5c3a\u5ea6\u7684\u76f8\u5173\u6027\u3002\u6d41\u4f53\u7269\u7406\u5173\u5fc3\u7684\u5e73\u8861\u6001\u548c\u8fd1\u5e73\u8861\u6001\u5f3a\u5173\u8054\u95ee\u9898\uff0c\u5c31\u662f\u8981\u5efa\u7acb\u7c98\u5f39\u6027\u7684\u5fae\u89c2-\u5b8f\u89c2\u6865\u6881\uff08\u5c3d\u7ba1\u8fdc\u672a\u6210\u529f\uff09\u3002\u53ea\u8981\u627f\u8ba4\u201c\u672c\u6784\u5173\u7cfb\u201d\u662f\u5b8c\u6574\u7684\u6d41\u4f53\u529b\u5b66\u7406\u8bba\u4e0d\u53ef\u6216\u7f3a\u7684\u90e8\u5206\uff0c\u5c31\u4e0d\u80fd\u5426\u8ba4\u6db2\u4f53\u7269\u7406\u7814\u7a76\u7684\u5185\u5bb9\u6b63\u662f\u201c\u7edf\u8ba1\u529b\u5b66\u80fd\u5426\u63a8\u51fa\u6d41\u4f53\u529b\u5b66\u201d\u7684\u56de\u7b54\u4e4b\u4e00\u3002\u751a\u81f3\uff0c\u7edf\u8ba1\u529b\u5b66\u5e76\u4e0d\u201c\u63a8\u51fa\u201d\u5b88\u6052\u5f8b\u3002\u6240\u4ee5\u7edf\u8ba1\u529b\u5b66\u63a8\u51fa\u672c\u6784\u5173\u7cfb\u8fd9\u4ef6\u4e8b\uff0c\u5b9e\u9645\u662f\u201c\u7edf\u8ba1\u529b\u5b66\u80fd\u5426\u63a8\u51fa\u6d41\u4f53\u529b\u5b66\u201d\u7684\u552f\u4e00\u56de\u7b54\u3002<\/p>\n\n\n\n<p>\u5728\u70ed\u529b\u5b66\u4e2d\uff0c\u505a\u6cd5\u4e5f\u662f\u7c7b\u4f3c\u7684\u3002\u70ed\u529b\u5b66\u4ece\u7b2c\u4e00\u3001\u7b2c\u4e8c\u5b9a\u5f8b\u53ea\u80fd\u7ed9\u51fa\u5404\u72b6\u6001\u51fd\u6570\u4e4b\u95f4\u7684\u5fae\u5206\u5173\u7cfb\uff0c\u5b88\u6052\u5f8b\uff08\u7b2c\u4e8c\u5b9a\u5f8b\u7684\u4e0d\u7b49\u5f0f\u53ef\u901a\u8fc7\u5f15\u5165\u71b5\u4ea7\u751f\u7684\u6982\u5ff5\u53d8\u4e3a\u4e00\u4e2a\u7b49\u5f0f\uff09\u5e76\u4e0d\u80fd\u51b3\u5b9a\u4f53\u7cfb\u72b6\u6001\u53d8\u5316\u2014\u2014\u8fd8\u9700\u8981\u8fd9\u4e00\u4f53\u7cfb\u7684\u72b6\u6001\u65b9\u7a0b\u3002\u800c\u72b6\u6001\u65b9\u7a0b\u8981\u4e48\u662f\u7ecf\u9a8c\u7684\uff0c\u8981\u4e48\u5c31\u5f97\u4ece\u7edf\u8ba1\u529b\u5b66\u63a8\u51fa\u3002\u6240\u4ee5\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u4e2d\u7684\u201c\u672c\u6784\u5173\u7cfb\u201d\uff0c\u5176\u5b9e\u5c31\u662f\u529b\u5b66\u72b6\u6001\u65b9\u7a0b\u3002\u786e\u5b9e\u6709\u5f88\u591a\u8bba\u6587\u4f5c\u8005\u4f1a\u4f7f\u7528\u201c\u529b\u5b66\u72b6\u6001\u65b9\u7a0b\u201d\u3001\u201c\u6d41\u53d8\u5b66\u72b6\u6001\u65b9\u7a0b\u201d\u800c\u4e0d\u662f\u201c\u672c\u6784\u65b9\u7a0b\u201d\u4e00\u8bcd\u3002\u201c\u672c\u6784\u65b9\u7a0b\u201d\u8ddf\u201c\u6d41\u53d8\u5b66\u201d\u4e00\u6837\uff0c\u662f\u591a\u4f59\u63d0\u51fa\u7684\u8bcd\u6c47\u3002\u5728\u524d\u9762\u63d0\u5230\u7684Truesdell\u7684\u5927\u4f1a\u62a5\u544a\u4e2d\uff0c\u4ed6\u89e3\u91ca\u4e86\u4e3a\u4f55\u4ed6\u4e0d\u91c7\u7eb3\u201c\u72b6\u6001\u65b9\u7a0b\u201d\uff08equation of state\uff09\u539f\u56e0\u5c31\u662f\u4e3a\u4e86\u533a\u522b\u3002\u800c\u4e14\u672c\u6784\u5173\u7cfb\u5df2\u7ecf\u7528\u4e8e\u7535\u52a8\u529b\u5b66\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>The term \u201cstate\u201d <em> <\/em>already abominated because of its employment in textbook thermodynamics as a vehicle of supreme obfuscation. Nevertheless, these were not my main reasons for preferring the term \u201cconstitutive relation.\u201d I know that term already from electrodynamics, where it had long been used to specify the properties of materials making up bodies, in contrast with the electromagnetic fields to which those bodies were subjected. Because it did not refer nominally to electromagnetism, I thought it would do equally well in mechanics to represent material properties as contrasted with the forces and torques to which bodies were subjected externally and with the regions of space occupied by bodies.<\/p><cite>C. Truesdell (1980)<\/cite><\/blockquote>\n\n\n\n<p>\u53ef\u89c1\u5728\u8fd9\u91ccTruesdell\u504f\u7231\u201c\u672c\u6784\u5173\u7cfb\u201d\u4e00\u8bcd\u662f\u6709\u610f\u8ba9\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u8ddf\u7535\u52a8\u529b\u5b66\u76f8\u6620\u7167\u3002\u8fd9\u4e00\u65b9\u9762\u53ef\u80fd\u662f\u60f3\u5f3a\u8c03\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u8ddf\u7535\u52a8\u529b\u5b66\u7c7b\u4f3c\u7684\u573a\u8bba\u8bed\u8a00\uff0c\u53e6\u4e00\u65b9\u9762\u60f3\u5f3a\u8c03\u4e00\u79cd\u201c\u5916\u573a\u201d\u2194\u201c\u672c\u6784\u5173\u7cfb\u201d\u2194 \u201c\u54cd\u5e94\u201d\u7684\u4e00\u822c\u7406\u8bba\u7ed3\u6784\u7279\u70b9\u3002\u4e8b\u5b9e\u4e0a\u8fde\u7eed\u4ecb\u8d28\u5047\u8bbe\u4e4b\u4e0a\u7684\u4e0d\u53ef\u9006\u70ed\u529b\u5b66\u5e76\u4e0d\u4f1a\u5f71\u54cd\u7a81\u51fa\u8fd9\u4ef6\u4e8b\u3002Truesdell\u60f3\u8981\u5212\u6e05\u754c\u7ebf\u7684\u662f\u672c\u79d1\u7684\u3001\u5173\u4e8e\u5b8f\u89c2\u6574\u4f53\uff08bulk\uff09\u7684\u7ecf\u5178\u70ed\u529b\u5b66\uff1b\u5728\u90a3\u91cc\u4e0a\u8ff0\u8fd9\u79cd\u7406\u8bba\u7ed3\u6784\u5e76\u4e0d\u660e\u663e\u3002<\/p>\n<h2>References<\/h2>\n    <ol>\n    <li><a name='ITEM-8462-0'><\/a>\nM. Reiner, \"The Deborah Number\", <i>Physics Today<\/i>, vol. 17, pp. 62-62, 1964. <a href=\"http:\/\/dx.doi.org\/10.1063\/1.3051374\">http:\/\/dx.doi.org\/10.1063\/1.3051374<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 8462 -->","protected":false},"excerpt":{"rendered":"<p>\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 such problems will be delt 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\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 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