{"id":1502,"date":"2026-10-27T01:00:00","date_gmt":"2026-10-26T16:00:00","guid":{"rendered":"https:\/\/quantumsea.net\/?p=1502"},"modified":"2026-10-24T01:18:39","modified_gmt":"2026-10-23T16:18:39","slug":"qs-brownian-motion-msd-20261024","status":"publish","type":"post","link":"https:\/\/quantumsea.net\/?p=1502","title":{"rendered":"\u30d6\u30e9\u30a6\u30f3\u904b\u52d5\u3001\u5e73\u5747\u4e8c\u4e57\u5909\u4f4d\u3067\u7c92\u5b50\u306e\u5e83\u304c\u308a\u3092\u6e2c\u308b"},"content":{"rendered":"<p>\u6db2\u4e2d\u306e\u5c0f\u3055\u306a\u7c92\u5b50\u3092\u8ffd\u3046\u3068\u3001\u53f3\u3078\u9032\u3093\u3060\u304b\u3068\u601d\u3048\u3070\u5de6\u3078\u623b\u308a\u3001\u52d5\u304f\u5411\u304d\u304c\u5b9a\u307e\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u30d6\u30e9\u30a6\u30f3\u904b\u52d5\u3092\u8abf\u3079\u308b\u3068\u304d\u3001\u300c\u5e73\u5747\u3059\u308b\u3068\u3069\u308c\u3060\u3051\u52d5\u3044\u305f\u304b\u300d\u3060\u3051\u3067\u306f\u5e83\u304c\u308a\u3092\u6349\u3048\u3089\u308c\u307e\u305b\u3093\u3002\u53f3\u5411\u304d\u3068\u5de6\u5411\u304d\u306e\u5909\u4f4d\u304c\u6253\u3061\u6d88\u3057\u5408\u3046\u305f\u3081\u3067\u3059\u3002<\/p>\n<p>\u305d\u3053\u3067\u4f7f\u3046\u306e\u304c\u3001\u5e73\u5747\u4e8c\u4e57\u5909\u4f4d\uff08MSD: mean square displacement\uff09\u3067\u3059\u3002\u51fa\u767a\u70b9\u304b\u3089\u306e\u5909\u4f4d\u3092\u4e8c\u4e57\u3057\u3066\u304b\u3089\u5e73\u5747\u3057\u3001\u7c92\u5b50\u306e\u96c6\u56e3\u304c\u3069\u308c\u307b\u3069\u5e83\u304c\u3063\u305f\u304b\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u3053\u3067\u306f\u5de6\u53f3\u306b\u52d5\u304f\u7c21\u5358\u306a\u30e2\u30c7\u30eb\u3067\u610f\u5473\u3092\u78ba\u304b\u3081\u3001\u62e1\u6563\u4fc2\u6570\u3078\u63db\u7b97\u3059\u308b\u3068\u304d\u306b\u5fc5\u8981\u306a\u6761\u4ef6\u3092\u6574\u7406\u3057\u307e\u3059\u3002<a href=\"#ref-1\">\uff3b1\uff3d<\/a><\/p>\n<section class=\"influvetor-quick-summary\">\n<p><strong>\u7c21\u5358\u306b\u307e\u3068\u3081\u308b\u3068\uff1f<\/strong><\/p>\n<ul>\n<li>\u5e73\u5747\u5909\u4f4d\u304c\u30bc\u30ed\u3067\u3082\u3001\u7c92\u5b50\u304c\u52d5\u3044\u3066\u3044\u306a\u3044\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002MSD\u306f\u5909\u4f4d\u306e\u4e8c\u4e57\u3092\u5e73\u5747\u3059\u308b\u305f\u3081\u3001\u5de6\u53f3\u306e\u52d5\u304d\u304c\u6253\u3061\u6d88\u3055\u308c\u307e\u305b\u3093\u3002<\/li>\n<li>\u5411\u304d\u306b\u504f\u308a\u306e\u306a\u3044\u901a\u5e38\u306e\u62e1\u6563\u3067\u306f\u3001MSD\u306f\u6642\u9593\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002\u305d\u306e\u5e73\u65b9\u6839\u3067\u8868\u3059\u5e83\u304c\u308a\u306f\u3001\u6642\u9593\u306e\u5e73\u65b9\u6839\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002<\/li>\n<li>MSD\u306e\u50be\u304d\u304b\u3089\u62e1\u6563\u4fc2\u6570\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u89b3\u6e2c\u306e\u6b21\u5143\u3001\u6d41\u308c\u306e\u6709\u7121\u3001\u6642\u9593\u7bc4\u56f2\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002\u3069\u306e\u66f2\u7dda\u306b\u3082\u4e00\u672c\u306e\u76f4\u7dda\u3092\u5f53\u3066\u306f\u3081\u308c\u3070\u3088\u3044\u308f\u3051\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li>\n<\/ul>\n<\/section>\n<h2>\u300c\u5e73\u5747\u3057\u3066\u304b\u3089\u4e8c\u4e57\u300d\u3068\u300c\u4e8c\u4e57\u3057\u3066\u304b\u3089\u5e73\u5747\u300d\u3092\u5206\u3051\u308b<\/h2>\n<p>\u4e00\u6b21\u5143\u3067\u3001\u51fa\u767a\u70b9\u304b\u3089\u306e\u5909\u4f4d\u3092 \u0394x \u3068\u66f8\u304d\u307e\u3059\u3002\u53f3\u5411\u304d\u3092\u6b63\u3001\u5de6\u5411\u304d\u3092\u8ca0\u3068\u3059\u308b\u3068\u3001\u5e73\u5747\u5909\u4f4d\u306f\u3008\u0394x\u3009\u3001\u5e73\u5747\u4e8c\u4e57\u5909\u4f4d\u306f\u3008(\u0394x)\u00b2\u3009\u3067\u3059\u3002\u5c71\u62ec\u5f27\u306f\u3001\u540c\u3058\u7d4c\u904e\u6642\u9593\u3067\u5f97\u305f\u591a\u6570\u306e\u7d50\u679c\u306e\u5e73\u5747\u3092\u8868\u3057\u307e\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u30012\u500b\u306e\u7c92\u5b50\u304c\u305d\u308c\u305e\u308c\u53f3\u30782 \u00b5m\u3001\u5de6\u30782 \u00b5m\u79fb\u3063\u305f\u3068\u3057\u307e\u3059\u3002\u5e73\u5747\u5909\u4f4d\u306f (2\u22122)\/2 = 0 \u00b5m\u3067\u3059\u304c\u3001MSD\u306f (2\u00b2\uff0b(\u22122)\u00b2)\/2 = 4 \u00b5m\u00b2\u3067\u3059\u3002\u5e73\u5747\u5909\u4f4d\u3092\u5148\u306b\u4e8c\u4e57\u3057\u305f0 \u00b5m\u00b2\u3068\u306f\u9055\u3044\u307e\u3059\u3002\u3053\u306e\u6570\u5024\u306f\u8003\u3048\u65b9\u3092\u793a\u3059\u4f8b\u3067\u3001\u6e2c\u5b9a\u7d50\u679c\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>MSD\u306e\u5358\u4f4d\u306f\u9577\u3055\u306e\u4e8c\u4e57\u3067\u3059\u3002\u5e73\u65b9\u6839\u3092\u53d6\u3063\u305f\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\uff08RMS\uff09\u306a\u3089\u9577\u3055\u306b\u623b\u305b\u308b\u306e\u3067\u3001\u3053\u306e\u4f8b\u3067\u306f2 \u00b5m\u3068\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001RMS\u306f\u5404\u7c92\u5b50\u304c\u5b9f\u969b\u306b\u901a\u3063\u305f\u9053\u306e\u9577\u3055\u3067\u3082\u3001\u5168\u7c92\u5b50\u304c\u5fc5\u305a\u5230\u9054\u3059\u308b\u8ddd\u96e2\u3067\u3082\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u6b69\u6570\u304c4\u500d\u3067\u3082\u3001\u5e83\u304c\u308a\u306f2\u500d\u306b\u306a\u308b<\/h2>\n<p>\u6b21\u306b\u30011\u56de\u3054\u3068\u306b\u53f3\u30781\u307e\u305f\u306f\u5de6\u30781\u3092\u7b49\u78ba\u7387\u3067\u9078\u3073\u3001\u6bce\u56de\u306e\u9078\u629e\u306f\u72ec\u7acb\u3001\u3068\u3059\u308b\u30e9\u30f3\u30c0\u30e0\u30a6\u30a9\u30fc\u30af\u3092\u8003\u3048\u307e\u3059\u3002MIT\u306e\u8b1b\u7fa9\u8cc7\u6599\u3067\u3082\u3001\u30b3\u30a4\u30f3\u6295\u3052\u306b\u3088\u308b\u5de6\u53f3\u306e\u6b69\u307f\u304c\u8aac\u660e\u306b\u4f7f\u308f\u308c\u3066\u3044\u307e\u3059\u3002<a href=\"#ref-2\">\uff3b2\uff3d<\/a><\/p>\n<p>n\u56de\u5f8c\u306e\u5909\u4f4d\u306f\u3001\u5404\u56de\u306e\u00b11\u3092\u8db3\u3057\u305f\u3082\u306e\u3067\u3059\u3002\u5e73\u5747\u306f\u30bc\u30ed\u3067\u3059\u3002\u4e00\u65b9\u3001\u548c\u3092\u4e8c\u4e57\u3059\u308b\u3068\u5404\u6b69\u306e\u4e8c\u4e57\u3068\u3001\u7570\u306a\u308b\u6b69\u3092\u639b\u3051\u305f\u9805\u304c\u73fe\u308c\u307e\u3059\u3002\u5404\u6b69\u306e\u4e8c\u4e57\u306f1\u3001\u7570\u306a\u308b\u6b69\u306e\u7a4d\u306f\u72ec\u7acb\u3067\u504f\u308a\u304c\u306a\u3044\u305f\u3081\u5e73\u5747\u30bc\u30ed\u3068\u306a\u308a\u3001MSD\u306fn\u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066RMS\u306f\u221an\u3067\u3059\u3002<\/p>\n<div style=\"overflow-x:auto\">\n<table>\n<caption>\u5de6\u53f3\u306b1\u305a\u3064\u52d5\u304f\u72ec\u7acb\u30fb\u7b49\u78ba\u7387\u30e2\u30c7\u30eb\u306e\u53b3\u5bc6\u306a\u8a08\u7b97\u3002\u9577\u3055\u3068\u6642\u9593\u306f\u4efb\u610f\u5358\u4f4d\u3002<\/caption>\n<thead>\n<tr>\n<th scope=\"col\">\u6b69\u6570<\/th>\n<th scope=\"col\">\u5e73\u5747\u5909\u4f4d<\/th>\n<th scope=\"col\">MSD<\/th>\n<th scope=\"col\">RMS<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>4<\/td>\n<td>0<\/td>\n<td>4<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>16<\/td>\n<td>0<\/td>\n<td>16<\/td>\n<td>4<\/td>\n<\/tr>\n<tr>\n<td>64<\/td>\n<td>0<\/td>\n<td>64<\/td>\n<td>8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>4\u6b69\u304b\u308916\u6b69\u3078\u5897\u3084\u3059\u3068\u3001\u901a\u3063\u305f\u9053\u306e\u9577\u3055\u306f4\u500d\u3067\u3059\u304c\u3001RMS\u306f2\u500d\u3067\u3059\u3002\u524d\u9032\u3057\u305f\u5206\u306e\u4e00\u90e8\u3092\u5f8c\u9000\u304c\u6253\u3061\u6d88\u3059\u305f\u3081\u3001\u4e00\u5b9a\u65b9\u5411\u3078\u9032\u307f\u7d9a\u3051\u308b\u5834\u5408\u307b\u3069\u51fa\u767a\u70b9\u304b\u3089\u96e2\u308c\u307e\u305b\u3093\u3002\u3053\u308c\u306f\u500b\u3005\u306e\u8ecc\u8de1\u306e\u4e88\u8a00\u3067\u306f\u306a\u304f\u3001\u5168\u3066\u306e\u6b69\u304d\u65b9\u3092\u78ba\u7387\u3067\u91cd\u307f\u4ed8\u3051\u3057\u305f\u7d50\u679c\u3067\u3059\u3002<\/p>\n<figure><img decoding=\"async\" src=\"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-brownian-motion-msd-20261024-figure-70c2bf0f7a2a.png\" alt=\"\u72ec\u7acb\u306a\u5de6\u53f31\u6b69\u306e\u30e2\u30c7\u30eb\u3067\u30014\u6b69\u5f8c\u306816\u6b69\u5f8c\u306e\u4f4d\u7f6e\u306e\u78ba\u7387\u5206\u5e03\u3092\u6bd4\u8f03\u3002\u5e73\u5747\u306f\u4e21\u65b9\u30bc\u30ed\u3001\u5e73\u5747\u4e8c\u4e57\u5909\u4f4d\u306f4\u306816\u3001\u4e8c\u4e57\u5e73\u5747\u5e73\u65b9\u6839\u306f2\u30684\u3002\u7c92\u5b50\u304c\u901a\u3063\u305f\u9053\u306e\u9577\u3055\u3068\u306f\u7570\u306a\u308b\u3002\" style=\"max-width:100%;height:auto\"><figcaption>Quantum Sea\u306b\u3088\u308b\u72ec\u81ea\u8a08\u7b97\u30fb\u4f5c\u56f3\u3002\u4e8c\u9805\u5206\u5e03\u304b\u3089\u5404\u4f4d\u7f6e\u306e\u78ba\u7387\u3092\u6c42\u3081\u305f\u3002\u4e2d\u5fc3\u306f\u5909\u308f\u3089\u305a\u300116\u6b69\u5f8c\u306b\u306f\u5206\u5e03\u304c\u5e83\u304c\u308b\u3002\u5076\u6570\u6b69\u3067\u306f\u5076\u6570\u4f4d\u7f6e\u3060\u3051\u306b\u5230\u9054\u3059\u308b\u96e2\u6563\u30e2\u30c7\u30eb\u3067\u3042\u308a\u3001\u5b9f\u969b\u306e\u7c92\u5b50\u753b\u50cf\u3067\u306f\u306a\u3044\u3002<\/figcaption><\/figure>\n<h2>\u62e1\u6563\u4fc2\u6570\u306f\u3001MSD\u306e\u5897\u3048\u65b9\u306b\u5bfe\u5fdc\u3059\u308b<\/h2>\n<p>\u5b9f\u969b\u306e\u30d6\u30e9\u30a6\u30f3\u7c92\u5b50\u306b\u3064\u3044\u3066\u3001\u6163\u6027\u306e\u5f71\u97ff\u304c\u5341\u5206\u5c0f\u3055\u304f\u3001\u5883\u754c\u306e\u62d8\u675f\u3084\u6d41\u308c\u3092\u7121\u8996\u3067\u304d\u3001\u62e1\u6563\u4fc2\u6570D\u304c\u4e00\u5b9a\u3068\u307f\u306a\u305b\u308b\u6642\u9593\u7bc4\u56f2\u3092\u8003\u3048\u307e\u3059\u3002\u4e00\u6b21\u5143\u306e\u901a\u5e38\u62e1\u6563\u3067\u306f <strong>MSD = 2Dt<\/strong> \u3067\u3059\u3002D\u306e\u5358\u4f4d\u306f m\u00b2\/s\u306a\u3069\u3067\u3001\u4e00\u5b9a\u306e\u901f\u3055\u3092\u8868\u3059m\/s\u3068\u306f\u9055\u3044\u307e\u3059\u3002MIT\u306e\u8cc7\u6599\u306f\u3001\u77ed\u6642\u9593\u306e\u904b\u52d5\u3068\u9577\u6642\u9593\u306e\u62e1\u6563\u3092\u5206\u3051\u3066\u3053\u306e\u95a2\u4fc2\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u3002<a href=\"#ref-1\">\uff3b1\u3001pp.16\u201317\uff3d<\/a><\/p>\n<p>\u540c\u3058\u62e1\u6563\u4fc2\u6570\u3092\u6301\u3064\u65b9\u5411\u304c\u72ec\u7acb\u3067\u3001\u7b49\u65b9\u7684\u306a\u3089\u3001\u4e8c\u6b21\u5143\u3067\u306fx\u3068y\u306e\u4e8c\u4e57\u5909\u4f4d\u3092\u8db3\u3059\u306e\u30674Dt\u3001\u4e09\u6b21\u5143\u3067\u306f6Dt\u3067\u3059\u3002\u307e\u3068\u3081\u308b\u3068\u3001\u89b3\u6e2c\u3059\u308b\u6b21\u5143\u3092d\u3068\u3057\u3066MSD = 2dDt\u3068\u306a\u308a\u307e\u3059\u3002GROMACS\u306e\u516c\u5f0f\u8cc7\u6599\u3082\u3001\u4e09\u6b21\u5143\u306e\u81ea\u5df1\u62e1\u6563\u4fc2\u6570\u3068MSD\u306e\u95a2\u4fc2\u3001\u304a\u3088\u3073\u4e00\u6b21\u5143\u30fb\u4e8c\u6b21\u5143\u3067\u306e\u89e3\u6790\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<a href=\"#ref-3\">\uff3b3\uff3d<\/a><\/p>\n<p>\u4f8b\u3048\u3070\u3001\u4e8c\u6b21\u5143\u306e\u4f4d\u7f6e\u8ffd\u8de1\u3067MSD\u306e\u76f4\u7dda\u90e8\u5206\u306e\u50be\u304d\u304c0.8 \u00b5m\u00b2\/s\u306a\u3089\u3001D = 0.8\/4 = 0.2 \u00b5m\u00b2\/s\u3067\u3059\u3002\u4e09\u6b21\u5143\u306e\u4fc2\u65706\u3067\u5272\u308b\u3068\u7d040.133 \u00b5m\u00b2\/s\u3068\u306a\u308a\u3001\u5225\u306e\u5024\u306b\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3053\u308c\u306f\u4eee\u60f3\u30c7\u30fc\u30bf\u306e\u63db\u7b97\u4f8b\u3067\u3059\u3002\u753b\u50cf\u4e0a\u306ex\u30fby\u3060\u3051\u3092\u4f7f\u3063\u305f\u306e\u304b\u3001\u5965\u884c\u304d\u3082\u542b\u3081\u305f\u306e\u304b\u3092\u78ba\u8a8d\u3057\u3066\u304b\u3089\u6bd4\u8f03\u3057\u307e\u3059\u3002<\/p>\n<h2>\u6d41\u308c\u3084\u6642\u9593\u7bc4\u56f2\u304c\u9055\u3046\u3068\u3001\u50be\u304d\u306e\u610f\u5473\u3082\u5909\u308f\u308b<\/h2>\n<p>\u6d41\u308c\u306b\u4e57\u3063\u305f\u7c92\u5b50\u3067\u306f\u3001\u62e1\u6563\u306b\u3088\u308b\u5e83\u304c\u308a\u306b\u3001\u5168\u4f53\u304c\u79fb\u52d5\u3059\u308b\u6210\u5206\u304c\u91cd\u306a\u308a\u307e\u3059\u3002\u4e00\u6b21\u5143\u3067\u4e00\u5b9a\u901f\u5ea6v\u306e\u79fb\u52d5\u3068\u901a\u5e38\u62e1\u6563\u304c\u72ec\u7acb\u306b\u91cd\u306a\u308b\u30e2\u30c7\u30eb\u306a\u3089\u3001\u51fa\u767a\u70b9\u304b\u3089\u306eMSD\u306f <strong>2Dt\uff0b(vt)\u00b2<\/strong> \u3067\u3059\u3002\u5f8c\u534a\u306e\u9805\u3082\u542b\u3081\u305f\u50be\u304d\u3092\u5168\u3066\u62e1\u6563\u306b\u5272\u308a\u5f53\u3066\u308b\u3068\u3001D\u3092\u5927\u304d\u304f\u898b\u7a4d\u3082\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u9055\u3044\u306f\u3001\u5206\u6563\u306e\u6052\u7b49\u5f0f\u3008(\u0394x)\u00b2\u3009 = \u3008(\u0394x\u2212\u3008\u0394x\u3009)\u00b2\u3009\uff0b\u3008\u0394x\u3009\u00b2\u304b\u3089\u78ba\u304b\u3081\u3089\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070D = 0.5\u3001v = 0.5\u306e\u4efb\u610f\u5358\u4f4d\u30e2\u30c7\u30eb\u3067\u306f\u3001t = 4\u306eMSD\u306f8\u3067\u3059\u304c\u3001\u5e73\u5747\u306e\u79fb\u52d5\u3092\u9664\u3044\u305f\u5206\u6563\u306f4\u3067\u3059\u3002t = 16\u3067\u306fMSD\u304c80\u3001\u5206\u6563\u304c16\u306b\u306a\u308a\u307e\u3059\u3002\u540c\u3058\u7c92\u5b50\u306e\u30c7\u30fc\u30bf\u3067\u3082\u3001\u96c6\u56e3\u306e\u4e2d\u5fc3\u304b\u3089\u306e\u5e83\u304c\u308a\u3068\u3001\u5143\u306e\u51fa\u767a\u70b9\u304b\u3089\u306e\u5909\u4f4d\u3092\u5206\u3051\u3066\u8aad\u3080\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u3054\u304f\u77ed\u6642\u9593\u3067\u306f\u7c92\u5b50\u306e\u901f\u5ea6\u304c\u6301\u7d9a\u3057\u3001MSD\u304c\u6642\u9593\u306e\u4e8c\u4e57\u306b\u8fd1\u3044\u5897\u3048\u65b9\u3092\u3059\u308b\u9818\u57df\u304c\u3042\u308a\u307e\u3059\u3002\u9589\u3058\u8fbc\u3081\u3089\u308c\u305f\u7c92\u5b50\u3084\u5f37\u3044\u76f8\u4e92\u4f5c\u7528\u3092\u6301\u3064\u7cfb\u3067\u3082\u3001\u5358\u7d14\u306a\u76f4\u7dda\u95a2\u4fc2\u3092\u4f7f\u3048\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002MSD\u304c\u66f2\u304c\u3063\u305f\u3068\u304d\u306f\u3001\u3059\u3050\u306b\u65b0\u3057\u3044D\u3092\u4e00\u3064\u6c7a\u3081\u308b\u3088\u308a\u3001\u76f4\u7dda\u3068\u3057\u3066\u6271\u3046\u6642\u9593\u7bc4\u56f2\u3068\u3001\u305d\u306e\u7bc4\u56f2\u3092\u9078\u3093\u3060\u7406\u7531\u3092\u78ba\u304b\u3081\u307e\u3059\u3002<a href=\"#ref-1\">\uff3b1\u3001pp.15\u201317\uff3d<\/a><\/p>\n<p>\u6750\u6599\u3084\u6761\u4ef6\u306e\u9055\u3044\u3092\u6bd4\u3079\u308b\u969b\u306f\u3001\u4f4d\u7f6e\u306e\u6b21\u5143\u3001\u89b3\u6e2c\u9593\u9694\u3068\u89e3\u6790\u6642\u9593\u3001\u5e73\u5747\u3092\u4f5c\u3063\u305f\u7c92\u5b50\u6570\u30fb\u8ecc\u8de1\u6570\u3001\u6d41\u308c\u306e\u6271\u3044\u3092\u305d\u308d\u3048\u307e\u3059\u3002\u6709\u9650\u306e\u30c7\u30fc\u30bf\u306b\u306f\u3070\u3089\u3064\u304d\u304c\u3042\u308b\u306e\u3067\u3001MSD\u306e\u66f2\u7dda\u3068\u3068\u3082\u306b\u3001\u50be\u304d\u3092\u6c42\u3081\u305f\u533a\u9593\u3084\u4e0d\u78ba\u304b\u3055\u3082\u793a\u3059\u3068\u6bd4\u8f03\u3057\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002MSD\u306f\u3001\u5358\u306b\u300c\u305f\u304f\u3055\u3093\u52d5\u3044\u305f\u304b\u300d\u3092\u6e2c\u308b\u6570\u5b57\u3067\u306f\u306a\u304f\u3001\u3069\u306e\u6642\u9593\u3068\u7a7a\u9593\u306e\u7bc4\u56f2\u3067\u3001\u3069\u306e\u3088\u3046\u306b\u5e83\u304c\u3063\u305f\u304b\u3092\u8aad\u307f\u89e3\u304f\u5165\u53e3\u3067\u3059\u3002<\/p>\n<h2>\u53c2\u8003\u8cc7\u6599<\/h2>\n<ol>\n<li id=\"ref-1\"><a href=\"https:\/\/ocw.mit.edu\/courses\/5-72-non-equilibrium-statistical-mechanics-spring-2012\/05d10d2e5952f3b91b10ba1305b46500_MIT5_72S12_master1.pdf\">MIT 5.72, Chapter 1: Stochastic Processes and Brownian Motion<\/a>\u30022012\u5e74\u8b1b\u7fa9\u30b5\u30a4\u30c8\u6240\u53ce\u3002PDF\u306e\u7248\u8868\u793a\u306f\u300c5.72, Spring 2008, J. Cao\u300d\u3002\u30e9\u30f3\u30c0\u30e0\u30a6\u30a9\u30fc\u30af\u306fpp.10\u201311\u3001Langevin\u65b9\u7a0b\u5f0f\u3068MSD\u306fpp.15\u201317\u3002<\/li>\n<li id=\"ref-2\"><a href=\"https:\/\/ocw.mit.edu\/courses\/2-76-multi-scale-system-design-fall-2004\/a168f518ebc622a11daea90b5dd8bf6d_lecture_15.pdf\">Sang-Gook Kim, MIT 2.76\/2.760, Lecture 15<\/a>\u3001Fall 2004\u3002PDF\u306e10\u201312\u30da\u30fc\u30b8\u3001Diffusion \/ Random Walk\u3002<\/li>\n<li id=\"ref-3\"><a href=\"https:\/\/manual.gromacs.org\/2023.3\/reference-manual\/analysis\/mean-square-displacement.html\">GROMACS 2023.3 documentation: Mean Square Displacement<\/a>\u3002\u81ea\u5df1\u62e1\u6563\u4fc2\u6570\u306e\u5f0f\u3068\u89b3\u6e2c\u6b21\u5143\u3092\u53c2\u7167\u3002\u7279\u5b9a\u306e\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u7248\u306e\u8aac\u660e\u8cc7\u6599\u3067\u3042\u308a\u3001\u672c\u8a18\u4e8b\u3067\u5b9f\u6e2c\u3084\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u5b9f\u884c\u3092\u884c\u3063\u305f\u3082\u306e\u3067\u306f\u306a\u3044\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\u6db2\u4e2d\u306e\u5c0f\u3055\u306a\u7c92\u5b50\u3092\u8ffd\u3046\u3068\u3001\u53f3\u3078\u9032\u3093\u3060\u304b\u3068\u601d\u3048\u3070\u5de6\u3078\u623b\u308a\u3001\u52d5\u304f\u5411\u304d\u304c\u5b9a\u307e\u308a\u307e\u305b\u3093\u3002\u3053\u306e\u30d6\u30e9\u30a6\u30f3\u904b\u52d5\u3092\u8abf\u3079\u308b\u3068\u304d\u3001\u300c\u5e73\u5747\u3059\u308b\u3068\u3069\u308c\u3060\u3051\u52d5\u3044\u305f\u304b\u300d\u3060\u3051\u3067\u306f\u5e83\u304c\u308a\u3092\u6349\u3048\u3089\u308c\u307e\u305b\u3093\u3002\u53f3\u5411\u304d\u3068\u5de6\u5411\u304d\u306e\u5909\u4f4d\u304c\u6253\u3061\u6d88\u3057\u5408\u3046\u305f\u3081\u3067\u3059\u3002 \u305d [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":1500,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":false,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[34],"tags":[300],"class_list":["post-1502","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-materials-manufacturing","tag-brownian-motion"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/quantumsea.net\/wp-content\/uploads\/2026\/10\/qs-brownian-motion-msd-20261024-featured-0027f718d8c2.png","_links":{"self":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/1502","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1502"}],"version-history":[{"count":1,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/1502\/revisions"}],"predecessor-version":[{"id":1503,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/posts\/1502\/revisions\/1503"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=\/wp\/v2\/media\/1500"}],"wp:attachment":[{"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/quantumsea.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}