{"id":9174,"date":"2025-03-29T03:43:47","date_gmt":"2025-03-28T19:43:47","guid":{"rendered":"https:\/\/www.andrewsun.net\/panta_rhei\/?p=9174"},"modified":"2025-07-31T16:36:51","modified_gmt":"2025-07-31T08:36:51","slug":"%e6%b3%95%e5%9b%bd%e6%b5%81%e5%8f%98%e5%ad%a6%e5%ae%b6%e7%9a%84%e6%b0%91%e6%97%8f%e8%87%aa%e5%b0%8a","status":"publish","type":"post","link":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9174","title":{"rendered":"\u6cd5\u56fd\u6d41\u53d8\u5b66\u5bb6\u7684\u6c11\u65cf\u81ea\u5c0a"},"content":{"rendered":"
\n\n

C. Macosko\u7b49\u5728J. Rheol.\u53d1\u8868\u4e86\u4e00\u7bc7\u5173\u4e8e\u540c\u8f74\u5706\u7b52\u7c98\u5ea6\u8ba1\u7684\u5386\u53f2\u6587\u7ae0[1]<\/a><\/span>\u3002\u8fd9\u7acb\u523b\u6fc0\u8d77\u4e86\u6cd5\u56fd\u6d41\u53d8\u5b66\u5bb6J. Piau\u548cM. Piau\u8a00\u8f9e\u6fc0\u5217\u7684\u8bc4\u8bba[2]<\/a><\/span>\u3002<\/p>\n\n\n\n

\u4ecePiau & Piau\u7684\u8bc4\u8bba\uff0c\u51e0\u4e4e\u628a\u6240\u6709Macosko\u7b49\u63d0\u5230\u8fc7\u7684\u82f1\u56fd\u8d21\u732e\u8005\u5168\u90e8\u8d2c\u4f4e\u4e86\u4e00\u904d\uff0c\u628a\u6240\u6709Macosko\u7b49\u5e76\u6ca1\u6709\u8d2c\u4f4e\u7684\u6cd5\u56fd\u8d21\u732e\u8005\u5168\u90e8\u8d5e\u8d4f\u4e86\u4e00\u904d\u3002Piau & Piau\u7684\u8bc4\u8bba\u5f88\u957f\u3002\u6211\u5728\u8bfb\u7684\u65f6\u5019\uff0c\u4e00\u65b9\u9762\u89c9\u5f97\uff0c\u8fd9\u4e9b\u7ec6\u8282\u4e8b\u5b9e\u7684\u8865\u5145\u662f\u6709\u76ca\u7684\uff0c\u4f46\u53c8\u5341\u5206\u4e0d\u89e3\uff0c\u4e3a\u4ec0\u4e48\u975e\u8981\u7528\u8fd9\u4e48\u4e3b\u89c2\u7684\u5e26\u6709\u60c5\u7eea\u7684\u63aa\u8f9e\u53bb\u5199\u3002\u76f4\u5230\u6211\u770b\u5230\u4e86Macosko\u7b49\u7684\u56de\u5e94[3]<\/a><\/span>\u4e4b\u540e\u624d\u660e\u767d\uff0cPiau & Piau\u751f\u6c14\u7684\u70b9\u5728\u4e8e\u5176\u8106\u5f31\u7684\u6c11\u65cf\u81ea\u5c0a\u5fc3\u88ab\u4f24\u5bb3\u5230\u4e86\uff0c\u4ee5\u81f3\u8fde\u7c98\u5ea6\uff08viscosity\uff09\u8fd9\u4e2a\u8bcd\uff0c\u90fd\u8981\u5f3a\u52a0\u6279\u5224\uff0c\u53ea\u56e0\u5b83\u662f\u82f1\u56fd\u4eba\uff08Lord Kelvin\uff09\u4f7f\u7528\u7684\u3002<\/p>\n

References<\/h2>\n
    \n
  1. <\/a>\nP. Dontula, C.W. Macosko, and L.E. Scriven, \"Origins of concentric cylinders viscometry\", Journal of Rheology<\/i>, vol. 49, pp. 807-818, 2005. http:\/\/dx.doi.org\/10.1122\/1.1940640<\/a>\n\n\n<\/li>\n
  2. <\/a>\nJ. PIAU, and M. PIAU, \"Letter to the Editor: Comment on \u201cOrigin of concentric cylinder viscometry\u201d [J. Rheol. 49, 807\u2013818 (2005)]. The relevance of the early days of viscosity, slip at the wall, and stability in concentric cylinder viscometry\", Journal of Rheology<\/i>, vol. 49, pp. 1539-1550, 2005. http:\/\/dx.doi.org\/10.1122\/1.2072087<\/a>\n\n\n<\/li>\n
  3. <\/a>\nP. Dontula, C.W. Macosko, and L.E. Scriven, \"Authors\u2019 Response\", Journal of Rheology<\/i>, vol. 49, pp. 1551-1551, 2005. http:\/\/dx.doi.org\/10.1122\/1.2072107<\/a>\n\n\n<\/li>\n<\/ol>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

    C. Macosko\u7b49\u5728J. Rheol.\u53d1\u8868\u4e86\u4e00\u7bc7\u5173\u4e8e\u540c\u8f74\u5706\u7b52\u7c98\u5ea6\u8ba1\u7684\u5386\u53f2\u6587\u7ae0\u3002\u8fd9\u7acb\u523b\u6fc0\u8d77\u4e86\u6cd5\u56fd\u6d41\u53d8\u5b66\u5bb6J. Piau\u548cM. Piau\u8a00\u8f9e\u6fc0\u5217\u7684\u8bc4\u8bba\u3002 \u4ecePiau & Piau\u7684\u8bc4\u8bba\uff0c\u51e0\u4e4e\u628a\u6240\u6709Macosko\u7b49\u63d0\u5230\u8fc7\u7684\u82f1\u56fd\u8d21\u732e\u8005\u5168\u90e8\u8d2c\u4f4e\u4e86\u4e00\u904d\uff0c\u628a\u6240\u6709Macosko\u7b49\u5e76\u6ca1\u6709\u8d2c\u4f4e\u7684\u6cd5\u56fd\u8d21\u732e\u8005\u5168\u90e8\u8d5e\u8d4f\u4e86\u4e00\u904d\u3002Piau & Piau\u7684\u8bc4\u8bba\u5f88\u957f\u3002\u6211\u5728\u8bfb\u7684\u65f6\u5019\uff0c\u4e00\u65b9\u9762\u89c9\u5f97\uff0c\u8fd9\u4e9b\u7ec6\u8282\u4e8b\u5b9e\u7684\u8865\u5145\u662f\u6709\u76ca\u7684\uff0c\u4f46\u53c8\u5341\u5206\u4e0d\u89e3\uff0c\u4e3a\u4ec0\u4e48\u975e\u8981\u7528\u8fd9\u4e48\u4e3b\u89c2\u7684\u5e26\u6709\u60c5\u7eea\u7684\u63aa\u8f9e\u53bb\u5199\u3002\u76f4\u5230\u6211\u770b\u5230\u4e86Macosko\u7b49\u7684\u56de\u5e94\u4e4b\u540e\u624d\u660e\u767d\uff0cPiau & Piau\u751f\u6c14\u7684\u70b9\u5728\u4e8e\u5176\u8106\u5f31\u7684\u6c11\u65cf\u81ea\u5c0a\u5fc3\u88ab\u4f24\u5bb3\u5230\u4e86\uff0c\u4ee5\u81f3\u8fde\u7c98\u5ea6\uff08viscosity\uff09\u8fd9\u4e2a\u8bcd\uff0c\u90fd\u8981\u5f3a\u52a0\u6279\u5224\uff0c\u53ea\u56e0\u5b83\u662f\u82f1\u56fd\u4eba\uff08Lord Kelvin\uff09\u4f7f\u7528\u7684\u3002<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"aside","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":"","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":[212,279],"tags":[137,165,174],"class_list":["post-9174","post","type-post","status-publish","format-aside","hentry","category-tagged","category-279","tag-people","tag-rheology","tag-science-history","post_format-post-format-aside"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1aPvF-2nY","jetpack-related-posts":[{"id":9291,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9291","url_meta":{"origin":9174,"position":0},"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":9177,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9177","url_meta":{"origin":9174,"position":1},"title":"\u5728\u7535\u5b50\u8ba1\u7b97\u673a\u4e4b\u524d\u7684Fourier\u5206\u6790","author":"Andrew","date":"2025\u5e743\u670830\u65e5","format":"aside","excerpt":"[latexpage] \u5982\u679c\u6211\u4eec\u8981\u5bf9\u4e00\u4e2a\u5468\u671f\u4fe1\u53f7\u8fdb\u884cFourier\u7ea7\u6570\u5206\u6790\uff0c\u90a3\u4e48\u6211\u4eec\u662f\u5047\u5b9a\u8be5\u4fe1\u53f7\u53ef\u4ee5\u8868\u793a\u6210\\[f\\left(x\\right)=\\sum_{n=-\\infty}^\\infty c_n e^{\\mathrm{i}2\\pi n x\/P}\\]\u5176\u4e2d\\[c_n=\\frac{1}{P}\\int_0^P f\\left(x\\right)e^{-\\mathrm{i} 2\\pi n x\/P}\\mathrm{d}x\\] \u5728\u4eca\u5929\uff0c\u6211\u4eec\u7684\u5b9e\u9a8c\u4fe1\u53f7\u57fa\u672c\u90fd\u5df2\u7ecf\u6570\u5b57\u5316\uff0c\u5728\u7535\u5b50\u8ba1\u7b97\u673a\u4e2d\u4e00\u79d2\u949f\u4e0d\u5230\u5c31\u505a\u5b8c\u4e86\u4e00\u4e2a\u5feb\u901fFourier\u53d8\u6362\u8ba1\u7b97\u3002\u4f46\u662f\u5728\u4e0a\u4e16\u7eaa50~60\u5e74\u4ee3\uff0c\u7535\u5b50\u8ba1\u7b97\u673a\u8fd8\u6ca1\u53d1\u660e\u4e4b\u524d\uff0c\u5b9e\u9a8c\u7ed3\u679c\u672c\u8eab\u5c31\u53ef\u80fd\u662f\u901a\u8fc7X-Y\u8bb0\u5f55\u4eea\u6216\u53cc\u7b14\u8bb0\u5f55\u4eea\u753b\u5728\u5750\u6807\u7eb8\u4e0a\u7684\u3002\u5f53\u65f6\u7684\u4eba\u662f\u600e\u6837\u5bf9\u8fd9\u4e48\u4e00\u6bb5\u58a8\u8ff9\u8fdb\u884cFourier\u7ea7\u6570\u5206\u6790\u7684\u5462\uff1f\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0cFourier\u7ea7\u6570\u7684\u5404\u4e2a\u7cfb\u6570$c_n$\u662f\u4e00\u4e2a\u79ef\u5206\u3002\u5728\u90a3\u4e2a\u5e74\u4ee3\uff0c\u79ef\u5206\u53ef\u4ee5\u4f7f\u7528\u6b27\u62c9\u6cd5\u6570\u503c\u6c42\u89e3\u3002\u5728\u6b64\u4e4b\u524d\uff0c\u9700\u8981\u5c06\u88ab\u79ef\u51fd\u6570\u8fdb\u884c\u4eba\u5de5\u91c7\u6837\uff08sampling\uff09\u79bb\u6563\u5316\u3002\u56e0\u6b64\u8fd9\u662f\u4e00\u4e2a\u5f88\u7e41\u7410\u7684\u4efb\u52a1\u3002 \u5c0f\u91ce\u6728\u91cd\u6cbb\uff08Shigeharu Onogi\uff09\u53ef\u80fd\u662f\u65e5\u672c\u6700\u65e9\u5bf9\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u6d41\u4f53\u7684\u6b63\u5f26\u632f\u8361\u6d4b\u8bd5\u7ed3\u679c\u4f5c\u8c10\u6ce2\u5206\u6790\u7684\u7814\u7a76\u8005\u3002\u4ed6\u5f53\u65f6\u4f30\u8ba1\u5c31\u662f\u8fd9\u4e48\u505a\u7684\u3002 \u5728\u7f8e\u56fd\uff0cW. Philippoff\u5f88\u65e9\u5c31\u5f00\u53d1\u5bbd\u9891\u8303\u56f4\u7684\u52a8\u6001\u6d4b\u8bd5\u4eea\u5668\u3002\u4ed6\u57281966\u5e74\u53d1\u8868\u7684\u6587\u7ae0\u4e2d\uff0c\u7528\u4e00\u4e2a\u7279\u522b\u6784\u5efa\u7684\u53ef\u8c03\u8282\u6a21\u62df\u8ba1\u7b97\u5668\uff0c\u53bb\u540c\u65f6\u751f\u6210\u4e00\u4e2a\u57fa\u9891\u548c3\u500d\u9891\u7684\u6b63\u5f26\u4fe1\u53f7\uff0c\u7136\u540e\u4f5c\u52a0\u548c\u3002\u4ed6\u901a\u8fc7\u8c03\u8282\u8fd9\u4e2a\u6a21\u62df\u8ba1\u7b97\u5668\uff0c\u51d1\u51fa\u4e0e\u5b9e\u9a8c\u7ed3\u679c\u5f62\u72b6\u76f8\u4f3c\u7684Lissajous\u66f2\u7ebf\uff0c\u4ece\u800c\u5f97\u77e5\u8be5\u66f2\u7ebf\u76843\u500d\u9891\u8c10\u6ce2\u5e45\u503c\u548c\u76f8\u4f4d\u3002 1960\u5e74\u4ee3\uff0c\u6070\u597d\u662f\u6a21\u62df\u6280\u672f\u7684\u98a0\u5cf0\u65f6\u671f\u3002\u6a21\u62df\u8ba1\u7b97\u7535\u8def\u80fd\u80fd\u505a\u5f88\u591a\u4e8b\u60c5\u3002\u7531\u6d41\u53d8\u4eea\u5f97\u51fa\u7684\u6ce2\u5f62\u4fe1\u53f7\uff0c\u53ef\u901a\u8fc7\u76f8\u5173\u5668\u4e0e\u7ed9\u5b9a\u7684\u6ce2\u5f62\u6bd4\u8f83\uff0c\u8f93\u51fa\u7684\u7ed3\u679c\u662f\u4e0e\u7ed9\u5b9a\u6ce2\u5f62\u7684\u5185\u79ef\u3002\u8fd9\u6837\u5c31\u53ef\u4ee5\u901a\u8fc7\u8bbe\u5b9a\u53c2\u8003\u6ce2\u5f62\u4fe1\u53f7\uff0c\u4ece\u539f\u59cb\u4fe1\u53f7\u4e2d\u63d0\u53d6\u76f8\u5e94\u7684\u5206\u91cf\uff0c\u4ece\u800c\u5b9e\u73b0\u8c10\u6ce2\u5206\u6790\u3002\u4f8b\u5982\uff0cQueen's Collage\u673a\u68b0\u5de5\u7a0b\u7cfb\u7684Harris\u548cBogie\u3002 1967\u5e74\uff0cBrenner\u7684\u6797\u80af\u5b9e\u9a8c\u5ba4\u62a5\u544a\u7ed9\u51fa\u4e86Cooley\u548cTukey\u7684\u5feb\u901fFourier\u53d8\u6362\u7684Fortran\u7a0b\u5e8f\u3002\u51ef\u65af\u897f\u50a8\u5927\u5b66\u5316\u5b66\u7cfb\u7684Dodge\u548cKrieger\u57281971\u5e74\u5c31\u7528\u4e0a\u8fd9\u4e2a\u65b9\u6cd5\u6765\u8fdb\u884c\u8c10\u6ce2\u5206\u6790\u4e86\uff0c\u6b63\u5f0f\u8fdb\u5165\u4e86\u6570\u5b57\u65f6\u4ee3\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":6221,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/6221","url_meta":{"origin":9174,"position":2},"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":9022,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/9022","url_meta":{"origin":9174,"position":3},"title":"\u5173\u4e8e\u9ad8\u5206\u5b50\u7684\u7ed3\u6784\u6d41\u53d8\u5b66\u6a21\u578b","author":"Andrew","date":"2024\u5e743\u67081\u65e5","format":false,"excerpt":"\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\u8ff01\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","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":5675,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/5675","url_meta":{"origin":9174,"position":4},"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 \u5bf9\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u7814\u7a76\u53d1\u73b0\uff0c\u5728\u65bd\u52a0\u4e00\u4e2a\u7a33\u6001\u526a\u5207\u65f6\uff0c\u5176\u5bc6\u5ea6\u6216\u6563\u5c04\u81ea\u76f8\u5173\u51fd\u6570\u7684\u03b1\u677e\u5f1b\u968f\u589e\u5927\u5411\u77ed\u65f6\u95f4\u65b9\u5411\u79fb\u52a8\uff0c\u677e\u5f1b\u65f6\u95f4\u51cf\u5c0f\u3002\u5982\u679c\u628a\u4e0d\u540c\u7684\u81ea\u76f8\u5173\u51fd\u6570\u6539\u5bf9\u4e00\u4e2a\u7ea6\u5316\u7684\u65f6\u95f4t\/\u03c4\u4f5c\u56fe\uff0c\u5404\u66f2\u7ebf\u7684\u03b1\u677e\u5f1b\u90e8\u5206\u80fd\u591f\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u03c4\u8ddf\u7684\u5173\u7cfb\u5f80\u5f80\u5177\u6709\u7684\u5f62\u5f0f\uff0ca\u5f88\u63a5\u8fd11\u3002\u8fd9\u4e2a\u73b0\u8c61\u8bf4\u660e\uff0c\u7a33\u6001\u526a\u5207\u80fd\u591f\u7f29\u77ed\u03b1\u677e\u5f1b\u7684\u65f6\u95f4\u5c3a\u5ea6\uff0c\u4f46\u4e0d\u6539\u53d8\u677e\u5f1b\u66f2\u7ebf\u7684\u5f62\u72b6\uff0c\u8fd9\u4e00\u73b0\u8c61\u53c8\u88ab\u79f0\u4e3atime-shear superposition\u3002 Strain rate-frequency superposition 2007\u5e74Wyss\u7b49\u62a5\u9053\uff0c\u5728\u51e0\u79cd\u4e0d\u540c\u7684\u6d53\u80f6\u4f53\u4f53\u7cfb\u90fd\u5448\u73b0\u6240\u8c13strain rate-frequency superposition\uff08SRFS\uff09\uff1a\u5bf9\u6837\u54c1\u65bd\u52a0\u632f\u8361\u526a\u5207\uff0c\u5728\u6052\u5b9a\u5e94\u53d8\u901f\u7387\u5e45\u503c\u6761\u4ef6\u4e0b\u626b\u9891\u7387\uff0c\u5f97\u5230G'(\u03c9)\u3001G''(\u03c9)\u66f2\u7ebf\u3002\u6052\u5b9a\u4e0d\u540c\u5927\u5c0f\u7684\u7684\u66f2\u7ebf\u53ef\u5e73\u79fb\u53e0\u52a0\u6210\u4e00\u6761\u4e3b\u66f2\u7ebf\u3002\u5e73\u79fb\u56e0\u5b50\u03c4\u4e0e\u7684\u5173\u7cfb\u4e5f\u6709\u7684\u89c4\u5f8b\u3002\u800c\u4e14\u4e3b\u66f2\u7ebf\u7684\u5f62\u72b6\u8ddf\u5178\u578b\u7684\u7ebf\u6027\u626b\u9891\u8c31\u56fe\u76f8\u4f3c\uff0c\u53ef\u4ee5\u770b\u5230\u201c\u672b\u7aef\u533a\u201d\u3002Wyss\u8ba4\u4e3a\u8fd9\u5c31\u662f\u5916\u90e8\u526a\u5207\u52a0\u901f\u4e86\u6837\u54c1\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u5e73\u79fb\u56e0\u5b50\u03c4\u5c31\u662f\u677e\u5f1b\u65f6\u95f4\uff0c\u5b83\u8ddf\u7684\u5173\u7cfb\u8ddf\u4e0a\u8ff0\u7684\u7a33\u6001\u526a\u5207\u7684\u62a5\u9053\u7ed3\u679c\u662f\u6765\u81ea\u540c\u4e00\u4e2a\u7269\u7406\u673a\u5236\u3002\u5f88\u591a\u4eba\u8ffd\u968fWyss\u7684\u8bf4\u6cd5\uff0c\u5bf9\u66f4\u591a\u7684\u4f53\u7cfb\u8fdb\u884c\u4e86\u76f8\u540c\u7684\u5b9e\u9a8c\uff0c\u6700\u8fd1\u7684\u4e00\u4e2a\u62a5\u9053\u662f\uff0c\u8bf4\u660eSRFS\u73b0\u8c61\u662f\u5177\u6709\u666e\u904d\u6027\u7684\u3002 \u9996\u5148\uff0c\u6211\u89c9\u5f97\u6240\u8c13\u7684strain rate-frequency superposition\u4e25\u683c\u6765\u8bb2\u5e94\u8be5\u79f0\u4e3atime-shear rate superposition\u3002\u5047\u5982\u6309\u7167Wyss\u7684\u610f\u89c1\uff0c\u8fd9\u6837\u7684\u6052\u5b9a\u7684\u626b\u9891\u7ed3\u679c\u786e\u5b9e\u662f\u4e00\u79cd\u677e\u5f1b\u8c31\u7684\u8bdd\uff0c\u90a3\u4e48\u9891\u7387\u53ea\u662f\u65f6\u95f4\u5728Fourier\u53d8\u6362\u4e4b\u540e\u7684\u5750\u6807\u800c\u5df2\u3002\u201c\u65f6\u6e29\u53e0\u52a0\u539f\u7406\u201d\u4e0d\u4f1a\u56e0\u4e3a\u505a\u4e86\u5c0f\u5e45\u626b\u9891\u5b9e\u9a8c\u5c31\u6539\u79f0\u201c\u6e29\u9891\u53e0\u52a0\u201d\u3002 \u5176\u6b21\uff0c\u867d\u7136\u8bf4SRFS\u7684\u73b0\u8c61\u5927\u4f53\u4e0a\u53ef\u4ee5\u8bf4\u662f\u526a\u5207\u52a0\u901f\u677e\u5f1b\uff0c\u770b\u5230\u4e86\u6837\u54c1\u7684\u6d41\u52a8\u3002\u4f46\u662f\u662f\u5426\u80fd\u591f\u76f4\u63a5\u628a\u6052\u5b9a\u7684\u626b\u9891\u7ed3\u679c\u5f53\u4f5c\u6052\u5b9a\u7684\u7ebf\u6027\u626b\u9891\u6765\u770b\u5f85\uff0c\u628a\u5e73\u79fb\u56e0\u5b50\u03c4\u5f53\u6210\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u6846\u67b6\u5185\u7684\u677e\u5f1b\u65f6\u95f4\uff1f\u6211\u89c9\u5f97\u8fd9\u4e48\u505a\u662f\u6709\u95ee\u9898\u7684\u3002\u4e00\u7ec4SRFS\u4e3b\u66f2\u7ebf\u4e2d\uff0c\u4f4e\u9891\u90e8\u5206\u7c7b\u4f3c\u201c\u672b\u7aef\u201d\u7684\u533a\u57df\uff0c\u4e8b\u5b9e\u4e0a\u5bf9\u5e94\u7684\u5e94\u53d8\u5e45\u5ea6\u65e9\u5df2\u8d85\u8fc7\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u8303\u56f4\uff0c\u662f\u5927\u5e45\u632f\u8361\u526a\u5207\uff08LAOS\uff09\u7684\u7ed3\u679c\u3002\u7b2c\u4e00\u4e2a\u62c5\u5fe7\u662f\uff0c\u6837\u54c1\u7684\u54cd\u5e94\u542b\u6709\u591a\u4e2a\u9ad8\u6b21\u8c10\u6ce2\u5206\u91cf\uff0cG'\u548cG''\u53ea\u662f\u57fa\u9891\u8c10\u6ce2\u5206\u91cf\u3002\u56e0\u6b64\u81f3\u5c11\u5b83\u4eec\u6ca1\u6709\u53cd\u6620\u6837\u54c1\u54cd\u5e94\u7684\u5168\u90e8\u4fe1\u606f\uff0c\u4e0d\u8db3\u4ee5\u4f5c\u4efb\u4f55\u8ba8\u8bba\u3002\u4f46\u8fd9\u4e00\u62c5\u5fe7\u5df2\u7ecf\u53ef\u4ee5\u6d88\u9664\uff0c\u6709\u4eba\u62a5\u9053\u5728\u8fd9\u4e00\u533a\u57df\uff0cLAOS\u7684\u4e00\u4e9b\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u53c2\u6570\u4e5f\u662f\u7b26\u5408SRFS\u7684\uff0c\u6211\u6700\u8fd1\u505a\u4e86\u4e00\u4e9b\u5b9e\u9a8c\u518d\u6b21\u8bc1\u5b9e\u4e86\u8fd9\u4e00\u70b9\u3002\u8fd9\u8bf4\u660eSRFS\u7684\u6027\u8d28\u662f\u8d2f\u7a7f\u4e86\u7ebf\u6027\u4e0e\u975e\u7ebf\u6027\u533a\u57df\u7684\u3002\u7b2c\u4e8c\u62c5\u5fe7\u662f\uff0c\u901a\u8fc7LAOS\u89c2\u5bdf\u5230\u7684\u672b\u7aef\uff0c\u662f\u5426\u5bf9\u5e94\u4f53\u7cfb\u7684\u7ed3\u6784\u677e\u5f1b\uff1f\u8fd9\u79cd\u5bf9\u5e94\u662f\u7f3a\u4e4f\u7406\u8bba\u57fa\u7840\u7684\uff0c\u8be6\u7ec6\u8ba8\u8bba\u4e86\u8fd9\u4e2a\u95ee\u9898\u3002 \u95ee\u9898\u7684\u63d0\u51fa \u4e8e\u662f\u6211\u60f3\uff0c1) SRFS\u770b\u5230\u7684\u5b9e\u8d28\u5230\u5e95\u662f\u4ec0\u4e48\uff1f\u5982\u679c\u5b83\u771f\u7684\u770b\u5230\u4e86\u4f53\u7cfb\u7684\u7ed3\u6784\u677e\u5f1b\uff0c\u5982\u4f55\u8bc1\u660e\u8fd9\u4e2a\u5bf9\u5e94\u5173\u7cfb\uff1f2) \u5982\u679c\u4e0d\u662f\uff0c\u90a3\u4e48\u6709\u4ec0\u4e48\u522b\u7684\u6d41\u53d8\u5b66\u65b9\u6cd5\uff0c\u80fd\u591f\u770b\u5230\u4f53\u7cfb\u5728\u975e\u7ebf\u6027\u6761\u4ef6\u4e0b\u7684\u7ed3\u6784\u677e\u5f1b\u5417\uff1f \u5bf9\u7b2c\u4e00\u4e2a\u95ee\u9898\uff0c\u53ef\u4ee5\u5148\u5148\u501f\u52a9\u6a21\u578b\u6765\u5bf9SRFS\u73b0\u8c61\u52a0\u6df1\u7406\u89e3\u3002\u6d41\u53d8\u5b9e\u9a8c\u89c2\u5bdf\u5230\u7684SRFS\u4e5f\u597d\uff0c\u8fc7\u51b7\u6db2\u4f53\u7684\u6a21\u62df\u4e2d\u89c2\u5bdf\u5230\u7684\u7ed3\u6784\u677e\u5f1b\u4e5f\u597d\uff0c\u4ece\u76ee\u524d\u62a5\u9053\u6765\u770b\u8fd9\u4e9b\u73b0\u8c61\u4f3c\u4e4e\u90fd\u662f\u73bb\u7483\u4f53\u7cfb\u7684\u7279\u5f81\u3002\uff08\u9ad8\u5206\u5b50\uff09\u7f20\u7ed3\u4f53\u7cfb\u6709\u6ca1\u6709\u8fd9\u6837\u7684\u7279\u5f81\u5462\uff1f\u4e3a\u4ec0\u4e48\u5728\u5386\u53f2\u4e0d\u77ed\u7684\u805a\u5408\u7269\u6d41\u53d8\u5b66\u7814\u7a76\u4e2d\u6ca1\u4eba\u62a5\u9053\u8fc7\u7c7b\u4f3c\u7684\u73b0\u8c61\u5462\uff1f\u6211\u5b9e\u9a8c\u5ba4\u7684\u6d41\u53d8\u4eea\u6ca1\u6709\u914doven\uff0c\u4e0d\u80fd\u505a\u9ad8\u5206\u5b50\u7194\u4f53\u3002\u6211\u5c31\u914d\u5236\u4e86\u4e00\u70b9worm-like 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 \u90a3\u4e48\uff0c\u9002\u7528\u4e8e\u80f6\u4f53\u4f53\u7cfb\u7684\u6d41\u53d8\u5b66\u6a21\u578b\uff0c\u662f\u5426\u5c31\u90fd\u4e00\u5b9a\u80fd\u7b26\u5408SRFS\u5462\uff1f\u6211\u770b\u4e0d\u4e00\u5b9a\u3002\u4e5f\u8bb8\u4ece\u8fd9\u4e2a\u89d2\u5ea6\u51fa\u53d1\uff0c\u53ef\u4ee5\u53bb\u8003\u5bdf\u8981\u6ee1\u8db3SRFS\u6d41\u53d8\u5b66\u6a21\u578b\u9700\u8981\u7b26\u5408\u4ec0\u4e48\u6837\u7684\u7279\u5f81\uff0c\u4ece\u800c\u53ef\u4ee5\u731c\u5230\u4e00\u4e9bSRFS\u7684\u672c\u8d28\uff0c\u540c\u65f6\u4e5f\u53ef\u4ee5\u770b\u770bSRFS\u53cd\u6620\u7684\u662f\u4ec0\u4e48\u201c\u7ed3\u6784\u677e\u5f1b\u201d\u3002\u8fd9\u9879\u5de5\u4f5c\u6211\u8fd8\u6ca1\u6709\u505a\uff0c\u56e0\u4e3a\u76ee\u524d\u63d0\u51fa\u7684\u80fd\u591f\u6bd4\u8f83\u5168\u9762\u5730\u63cf\u8ff0\u5c48\u670d\u5e94\u529b\u6d41\u4f53\u7684\u77ac\u6001\u6a21\u578b\u5e76\u4e0d\u591a\u3002\u8fd9\u6837\u7684\u672c\u6784\u65b9\u7a0b\u5f80\u5f80\u5c5e\u4e8estructural kinetic 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 "\u6211\u7684\u7814\u7a76\u7b14\u8bb0"","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":8206,"url":"https:\/\/www.andrewsun.net\/panta_rhei\/archives\/8206","url_meta":{"origin":9174,"position":5},"title":"\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\u5386\u53f2\uff08\u4e00\uff09","author":"Andrew","date":"2021\u5e748\u670816\u65e5","format":false,"excerpt":"\u524d\u6bb5\u65f6\u95f4\u505a\u8fc7\u4e00\u4e9b\u5173\u4e8e\u7c98\u5f39\u6027\uff08viscoelasticity\uff09\u7684\u7814\u7a76\u5386\u53f2\u7684\u8d44\u6599\u8c03\u67e5\uff0c\u5c31\u5728\u6b64\u4f5c\u4e00\u4e9b\u4e0d\u5b8c\u6574\u7684\u603b\u7ed3\u3002 \u5b9e\u9645\u4e0aMaria Grazia Ianniello\u4f5c\u4e86\u5f88\u597d\u7684\u603b\u7ed3\u5de5\u4f5c\u200b(Ianniello 1993)\u200b\u200b*\u200b\uff0c\u6211\u5199\u7684\u5185\u5bb9\u5927\u90e8\u5206\u90fd\u662f\u76f4\u63a5\u6765\u81ea\u8fd9\u91cc\u3002\u5176\u5b9e\u6211\u4e5f\u72ec\u7acb\u5730\u8bc4\u4f30\u8fc7\u5979\u7684\u8bba\u6587\u3002\u6211\u81ea\u5df1\u770b\u8fc7\u4e00\u90e8\u5206\u7684\u5386\u53f2\u6587\u732e\u7684\u539f\u6587\uff08\u89c1\u6b64\u6587\uff09\uff0c\u518d\u53bb\u770bIanniello\u5bf9\u8fd9\u4e9b\u539f\u6587\u7684\u89e3\u8bfb\uff0c\u89c9\u5f97\u5979\u5173\u6ce8\u7ec6\u8282\u8ddf\u6211\u4e00\u6837\u591a\uff0c\u751a\u81f3\u770b\u5f97\u548c\u60f3\u5f97\u6bd4\u6211\u66f4\u4ed4\u7ec6\u3002\u79d1\u5b66\u54f2\u5b66\u5c42\u9762\u4e0a\u7684\u5173\u7167\u89d2\u5ea6\u4e5f\u548c\u6211\u5f88\u63a5\u8fd1\uff0c\u56e0\u6b64\u6211\u5f88\u4fe1\u8d56\u8fd9\u4e2a\u5de5\u4f5c\u3002\u53e6\u5916\u8fd8\u6709\u4e00\u7bc7\u66f4\u65e9\u4e9b\u7684\u79d1\u5b66\u53f2\u8bba\u6587\u200b(D\u00f6rries 1991)\u200b\uff0c\u4ece\u5e7f\u4e49\u7684\u201c\u4f59\u6548\u201d\uff08Nachwirking\uff09\u4e0e\u201c\u8fdf\u6ede\u201d\uff08histeresis\uff09\u6982\u5ff5\u7684\u89d2\u5ea6\u56de\u987e\u4e8619\u4e16\u7eaa\u7684\u7269\u7406\u5b66\u53f2\uff0c\u4f46\u662f\u63cf\u8ff0\u4e0d\u5982Ianniello\u7684\u6587\u7ae0\u8be6\u7ec6\u3002\u9664\u4e86\u8fd9\u4e9b\u79d1\u5b66\u53f2\u7814\u7a76\u8005\u7684\u8bba\u6587\u5916\uff0c\u6211\u5728\u8fd9\u91cc\u63d0\u4e00\u4e9b\u6d41\u53d8\u5b66\u5bb6\u81ea\u5df1\u505a\u7684\u5386\u53f2\u603b\u7ed3\u3002\u200b(Tanner and Walters 1998)\u200b\u7684\u8fd9\u672c\u4e66\u662f\u6574\u4e2a\u6d41\u53d8\u5b66\u7684\u4e00\u4e2a\u5927\u7684\u5386\u53f2\u603b\u7ed3\uff0c\u662f\u4e00\u4e2a\u5f88\u4f1f\u5927\u7684\u5de5\u7a0b\uff0c\u4f46\u662f\u96be\u514d\u4e5f\u6d41\u4e8e\u6cdb\u6cdb\uff0c\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u4e2a\u7c97\u7565\u7684\u63d0\u7eb2\u548c\u53c2\u8003\u6587\u732e\u6765\u53c2\u8003\u3002\u76f8\u6bd4\u4e4b\u4e0b\uff0cHershel Markovitz\u505a\u8fc7\u7684\u5f88\u591a\u6d41\u53d8\u5b66\u53f2\u603b\u7ed3\u66f4\u52a0\u95ee\u9898\u5bfc\u5411\u56e0\u800c\u4e5f\u66f4\u5bcc\u6709\u6d1e\u89c1\u200b(Markovitz 1968, 1977, 1985)\u200b\u3002\u200b(Doraiswamy 2002)\u200b\u4e5f\u505a\u4e86\u4e00\u4e2a\u5f88\u5168\u9762\u7684\u5386\u53f2\u6eaf\u6e90\u8d44\u6599\u603b\u7ed3\u3002\u200b(Tanner 2002)\u200b\u603b\u7ed3\u4e86\u6d41\u53d8\u6d4b\u91cf\u5b66\u4e2d\u6b63\u5f26\u6d4b\u8bd5\u65b9\u6cd5\u7684\u5386\u53f2\u3002 \u5df2\u6545\u7684\u6d41\u53d8\u5b66\u5bb6\u90d1\u878d\u8001\u5e08\u5728\u79d1\u5b66\u7f51\u4e0a\u7684\u535a\u5ba2\u5199\u6ee1\u4e86\u810d\u7099\u4eba\u53e3\u7684\u6d41\u53d8\u5b66\u53f2\u8bdd\u3002 1. \u4eca\u5929\u77e5\u9053\u7684\u201c\u7c98\u5f39\u6027\u201d \u201c\u7c98\u5f39\u6027\u201d\uff08viscoelasticity\uff09\u662f\u6d41\u53d8\u5b66\u6216\u529b\u5b66\u65b9\u9762\u7684\u8bcd\u3002 Ferry\u5bf9\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u5b8f\u89c2\u552f\u8c61\u7406\u8bba\u6a21\u578b\u548c\u5b9e\u9a8c\u65b9\u6cd5\u8fdb\u884c\u4e86\u5b8c\u6574\u7684\u603b\u7ed3\u200b(Ferry 1980)\u200b\u3002\u800c\u975e\u7ebf\u6027\u7c98\u5f39\u6027\u5c31\u662f\u6574\u4e2a\u6d41\u53d8\u5b66\u7684\u7814\u7a76\u5bf9\u8c61\uff0c\u5176\u73b0\u8c61\u5b66\u6a21\u578b\u548c\u5b9e\u9a8c\u65b9\u6cd5\u53ef\u89c1\u4e8e\u5404\u4e2a\u6d41\u53d8\u5b66\u6559\u6750\u3002\u503c\u63d0\u4e00\u63d0\u7684\u662f\u632f\u8361\u6d4b\u8bd5\u5728\u975e\u7ebf\u6027\u54cd\u5e94\u4e2d\u7684\u63cf\u8ff0\u6846\u67b6\u5728\u6d41\u53d8\u5b66\u4e2d\u7684\u5e94\u7528\u662f\u201c\u5927\u5e45\u632f\u8361\u526a\u5207\u201d\uff08large amplitude oscillatory shear\uff0cLAOS\uff09\u3002\u8fd9\u65b9\u9762\u6700\u8fd1\u7684\u5927\u578b\u7efc\u8ff0\u200b(Hyun et al. 2011)\u200b\u5df2\u7ecf\u5f88\u65e9\u4e86\uff0c\u5176\u4e4b\u540e\u503c\u5f97\u5173\u6ce8\u7684\u76f8\u5173\u7efc\u8ff0\u6709\u200b(Bird and Giacomin 2016)\u200b\u548c\u200b(Voigtmann 2014)\u200b\u3002 \u4e8b\u5b9e\u4e0a\u7c98\u5f39\u6027\u7684\u73b0\u8c61\u5728\u529b\u5b66\u4e4b\u5916\u6709\u66f4\u4e00\u822c\u7684\u672c\u8d28\uff0c\u5b83\u5b9e\u8d28\u4e0a\u662f\u4e00\u79cd\u677e\u5f1b\uff08\u5f1b\u8c6b\uff09\u73b0\u8c61\u200b\u2020\u200b\uff0c\u5728\u7535\u78c1\u5b66\u4e2d\u4e5f\u5f88\u666e\u904d\u3002\u56e0\u6b64Oppenheim\u7684\u7ecf\u5178\u6559\u79d1\u4e66\u200b(Oppenheim et al. 1997)\u200b\u4e2d\u7684\u5f88\u591a\u65b9\u6cd5\u8ddf\u7c98\u5f39\u6027\u73b0\u8c61\u5b66\u662f\u76f8\u901a\u7684\u3002\u4f8b\u5982\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u901a\u7528\u672c\u6784\u2014\u2014Boltzmann\u65b9\u7a0b\u5c31\u662f\u4e00\u4e2a\u7ebf\u6027\u65f6\u4e0d\u53d8\u7cfb\u7edf\u7684\u5377\u79ef\u5f0f\u3002\u5728\u540e\u9762\u7684\u5386\u53f2\u4ecb\u7ecd\u4e2d\u6211\u4eec\u5c06\u4f1a\u770b\u5230\uff0c\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\u53f2\u8ddf\u7535\u78c1\u5b66\u548c\u7535\u4fe1\u6280\u672f\u7684\u53d1\u5c55\u662f\u5bc6\u5207\u76f8\u5173\u7684\u3002\u4e00\u9886\u57df\u7684\u6982\u5ff5\u6216\u65b9\u6cd5\u5ef6\u7528\u4e8e\u53e6\u4e00\u9886\u57df\u7684\u60c5\u51b5\u5f88\u5e38\u89c1\uff0c\u4e14\u8fd9\u79cd\u60c5\u51b5\u4e00\u76f4\u5ef6\u7eed\u5230\u4eca\u5929\u3002 \u81f3\u4e8e\u5b8f\u89c2\u7c98\u5f39\u6027\u6216\u5176\u4ed6\u5b8f\u89c2\u6027\u8d28\u7684\u5f1b\u8c6b\u73b0\u8c61\u7684\u5fae\u89c2\u672c\u8d28\uff0c\u5219\u662f\u975e\u5e73\u8861\u6001\u7edf\u8ba1\u529b\u5b66\u63d0\u4f9b\u7684\u3002\u53ef\u4ee5\u7528\u4e00\u53e5\u8bdd\u8bf4\u5b8f\u89c2\u6027\u8d28\u7684\u5f1b\u8c6b\u73b0\u8c61\u7684\u5fae\u89c2\u672c\u8d28\u5c31\u662f\u70ed\u8fd0\u52a8\u3002\u5177\u4f53\u5730\uff0c\u7ebf\u6027\u54cd\u5e94\u7406\u8bba\u662f\u7ebf\u6027\u7c98\u5f39\u6027\u7684\u7edf\u8ba1\u57fa\u7840\u3002\u8fd9\u65b9\u9762\u5185\u5bb9\u53ef\u4ee5\u53c2\u8003\u200b(Evans and Morriss 2008)\u200b\u548c\u200b(Kreuzer 1981)\u200b\u3002 \u4e0a\u8ff0\u5f15\u7528\u7684\u8d44\u6599\u4ee3\u8868\u4e86\u6211\u4eec\u4eca\u5929\u5bf9\u7c98\u5f39\u6027\u7684\u8ba4\u8bc6\u3002\u5728\u56de\u987e\u7c98\u5f39\u6027\u7684\u7814\u7a76\u5386\u53f2\u7684\u65f6\u5019\uff0c\u6211\u4eec\u5c31\u81ea\u7136\u4f1a\u5173\u6ce8\u5f53\u65f6\u7684\u4eba\u4ece\u5f53\u65f6\u7684\u6570\u5b66\u548c\u7269\u7406\u5b66\u57fa\u7840\u548c\u5b9e\u9a8c\u73b0\u8c61\u6240\u80fd\u5f62\u6210\u7684\u6700\u521d\u8ba4\u8bc6\u8ddf\u4eca\u5929\u8ba4\u8bc6\u7684\u5dee\u5f02\u548c\u5dee\u8ddd\u662f\u600e\u6837\u7684\uff1f\u4e4b\u540e\u662f\u5982\u4f55\u201c\u677e\u5f1b\u201d\u5230\u4eca\u5929\u7684\u8ba4\u8bc6\u7684\uff1f 2. \u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u4e0e\u70ed\u529b\u5b66 \u6211\u4eec\u4eca\u5929\u7684\u8ba4\u8bc6\u4f53\u7cfb\u4e2d\uff0c\u7c98\u5f39\u6027\u73b0\u8c61\u662f\u5bf9\u7ecf\u5178\u7684\u864e\u514b\u5f39\u6027\u548c\u725b\u987f\u7c98\u6027\u7684\u63a8\u5e7f\u3002\u4ece\u66f4\u5927\u7684\u89d2\u5ea6\u770b\uff0c\u7c98\u5f39\u6027\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u4e2d\u7684\u7279\u6b8a\u672c\u6784\u5173\u7cfb\u3002\u4eca\u5929\u5982\u679c\u6211\u4eec\u8981\u8bb2\u8ff0\u7c98\u5f39\u6027\uff0c\u6211\u4eec\u4f1a\u5e0c\u671b\u542c\u4f17\u5df2\u7ecf\u5bf9\u4e0a\u8ff0\u8fd9\u4e9b\u80cc\u666f\u6709\u6240\u4e86\u89e3\u200b\u2021\u200b\u3002 \u9996\u5148\u662f\u8fde\u7eed\u4ecb\u8d28\u529b\u5b66\u3002\u6b27\u62c9\u628a\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b\u63a8\u5e7f\u81f3\u8fde\u7eed\u4ecb\u8d28\uff0c\u5e76\u63a8\u5bfc\u4e86\u521a\u4f53\u548c\u7406\u60f3\u6d41\u4f53\u7684\u65b9\u7a0b\u200b(Truesdell 1960a, 1968)\u200b\u200b\u00a7\u200b\u3002\u8fd9\u5927\u6982\u662f\u5341\u516b\u4e16\u7eaa\u4e2d\u53f6\u7684\u4e8b\u60c5\u3002 \u5173\u4e8e\u80fd\u91cf\u5b88\u6052\uff0c\u4e5f\u8bb8\u4f2f\u52aa\u5229\u7684\u5de5\u4f5c\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u79cd\u4ee3\u8868\uff0c\u4ee5\u4ed61738\u5e74\u53d1\u8868\u7684Hydrodynamica\u4e3a\u6807\u5fd7\u200b(Truesdell 1960a, 1968)\u200b\u3002\u4f2f\u52aa\u5229\u65b9\u7a0b\uff0c\u5c31\u662f\u673a\u68b0\u80fd\u4e0e\u91cd\u529b\u52bf\u80fd\u4e4b\u95f4\u7684\u80fd\u91cf\u5b88\u6052\u3002\u4ec5\u8003\u8651\u8fd9\u4e24\u79cd\u80fd\u91cf\u4e4b\u95f4\u7684\u5b88\u6052\u662f\u7ecf\u5178\u529b\u5b66\u53d1\u5c55\u8fc7\u7a0b\u4e2d\u7684\u4e00\u4e2a\u4e3b\u8981\u7684\u95ee\u9898\u5f62\u5f0f\u3002\u70ed\u529b\u5b66\u610f\u4e49\u4e0a\u7684\u80fd\u91cf\u5b88\u6052\uff08\u5373\u4f5c\u4e3a\u516c\u8bbe\u7684\u70ed\u529b\u5b66\u7b2c\u4e00\u5b9a\u5f8b\uff09\uff0c\u5219\u4e0e\u70ed\u7684\u672c\u8d28\u95ee\u9898\u548c\u7b2c\u4e8c\u5b9a\u5f8b\u7684\u8ba4\u8bc6\u7b49\u4e00\u540c\u7ea0\u7f20\u523019\u4e16\u7eaa\u4e2d\u671f\u624d\u7b97\u786e\u7acb\u3002\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":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/9174","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=9174"}],"version-history":[{"count":2,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/9174\/revisions"}],"predecessor-version":[{"id":9176,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/posts\/9174\/revisions\/9176"}],"wp:attachment":[{"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/media?parent=9174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/categories?post=9174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.andrewsun.net\/panta_rhei\/wp-json\/wp\/v2\/tags?post=9174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}