[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/4170#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/4170","headline":"\u7d71\u8a08\u529b\u5b66 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","name":"\u7d71\u8a08\u529b\u5b66 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u7d71\u8a08\u529b\u5b66 – \u7269\u7406\u5b66\u306e\u679d\u3001\u591a\u304f\u306e\u5f71\u97ff\u3059\u308b\u8eab\u4f53\u306e\u914d\u7f6e\u306b\u5bfe\u51e6\u3059\u308b [\u521d\u3081] \u3002\u3053\u306e\u7406\u8ad6\u306e\u7279\u7570\u6027\u306f\u305d\u306e\u65b9\u6cd5\u3067\u3059\u3002\u500b\u3005\u306e\u4f53\u306f\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002\u7d71\u8a08\u529b\u5b66\u306e\u4e00\u90e8\u3068\u3057\u3066\u884c\u308f\u308c\u305f\u8a08\u7b97\u306f\u3001\u7d71\u8a08\u7684\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u3053\u308c\u3089\u306e\u5909\u6570\u306e\u5e73\u5747\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u7d71\u8a08\u529b\u5b66\u306e\u7269\u7406\u7684\u57fa\u790e\u306f\u3001\u73fe\u8c61\u5b66\u7684\u71b1\u529b\u5b66\u3067\u3059\u3002 after-content-x4 \u71b1\u529b\u5b66\u30d0\u30e9\u30f3\u30b9\u306e\u7406\u8ad6\u306f\u3001\u7d71\u8a08\u529b\u5b66\u304b\u3089\u5206\u96e2\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u7406\u8ad6\u306f\u3001\u4e0d\u5747\u8861\u7406\u8ad6\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u958b\u767a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 SO 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\u5e73\u8861\u7d71\u8a08\u529b\u5b66\u306f\u3001\u7279\u5b9a\u306e\u72b6\u614b\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u53ef\u80fd\u6027\u304c\u3053\u306e\u72b6\u614b\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u306b\u306e\u307f\u4f9d\u5b58\u3059\u308b\u3068\u3044\u3046\u91cd\u8981\u306a\u4eee\u5b9a\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d0\u30e9\u30f3\u30b9\u306e\u72b6\u614b\u306f\u3001\u30b7\u30b9\u30c6\u30e0\u306e\u904e\u53bb\u306b\u95a2\u3059\u308b\u60c5\u5831\u304c\u91cd\u8981\u3067\u306f\u306a\u3044\u72b6\u614b\u3067\u3059\u3002 \u9855\u5fae\u93e1\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u56e0\u5b50\u3001\u7d71\u8a08\u7684\u5408\u8a08 [ \u7de8\u96c6 | \u30b3\u30fc\u30c9\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7d71\u8a08\u529b\u5b66\uff08\u7d71\u8a08\u7269\u7406\u5b66\uff09\u306e\u57fa\u790e\u306f\u3001\u30dc\u30eb\u30c4\u30de\u30f3\u304b\u3089\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306e\u5b9a\u7fa9\u3067\u3059\u3002 after-content-x4 \u30b7\u30b9\u30c6\u30e0\u306e\u5de8\u8996\u7684\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f\u3001\u5fae\u8996\u7684\u306a\u6570\u306e\u30b7\u30b9\u30c6\u30e0\u72b6\u614b\u306e\u5bfe\u6570\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002","datePublished":"2019-05-16","dateModified":"2019-05-16","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/c3c9a2c7b599b37105512c5d570edc034056dd40","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/c3c9a2c7b599b37105512c5d570edc034056dd40","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/4170","wordCount":6269,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u7d71\u8a08\u529b\u5b66  – \u7269\u7406\u5b66\u306e\u679d\u3001\u591a\u304f\u306e\u5f71\u97ff\u3059\u308b\u8eab\u4f53\u306e\u914d\u7f6e\u306b\u5bfe\u51e6\u3059\u308b [\u521d\u3081] \u3002\u3053\u306e\u7406\u8ad6\u306e\u7279\u7570\u6027\u306f\u305d\u306e\u65b9\u6cd5\u3067\u3059\u3002\u500b\u3005\u306e\u4f53\u306f\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306b\u3088\u3063\u3066\u8a18\u8ff0\u3055\u308c\u307e\u3059\u3002\u7d71\u8a08\u529b\u5b66\u306e\u4e00\u90e8\u3068\u3057\u3066\u884c\u308f\u308c\u305f\u8a08\u7b97\u306f\u3001\u7d71\u8a08\u7684\u65b9\u6cd5\u3092\u4f7f\u7528\u3057\u3066\u3053\u308c\u3089\u306e\u5909\u6570\u306e\u5e73\u5747\u306b\u95a2\u9023\u3057\u3066\u3044\u307e\u3059\u3002\u7d71\u8a08\u529b\u5b66\u306e\u7269\u7406\u7684\u57fa\u790e\u306f\u3001\u73fe\u8c61\u5b66\u7684\u71b1\u529b\u5b66\u3067\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u71b1\u529b\u5b66\u30d0\u30e9\u30f3\u30b9\u306e\u7406\u8ad6\u306f\u3001\u7d71\u8a08\u529b\u5b66\u304b\u3089\u5206\u96e2\u3067\u304d\u307e\u3059\u3002\u3053\u306e\u7406\u8ad6\u306f\u3001\u4e0d\u5747\u8861\u7406\u8ad6\u3088\u308a\u3082\u306f\u308b\u304b\u306b\u958b\u767a\u3055\u308c\u3066\u3044\u307e\u3059\u3002 SO -Called\u7d71\u8a08\u5f62\u5f0f\u5f62\u5f0f\u3002\u7d71\u8a08\u7684\u5408\u8a08\u81ea\u4f53\u306f\u7269\u7406\u7684\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u7269\u7406\u7684\u306a\u91cf\u3092\u8a08\u7b97\u3059\u308b\u3068\u4fbf\u5229\u3067\u3059\u3002\u7279\u5b9a\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u7d71\u8a08\u7684\u5408\u8a08\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u30ec\u30b7\u30d4\u306f\u3001\u4e00\u822c\u306b\u3001\u305d\u306e\u5e73\u8861\u7279\u6027\u3092\u6c7a\u5b9a\u3059\u308b\u306e\u306b\u7b49\u3057\u3044\u3068\u8003\u3048\u3089\u308c\u3066\u3044\u307e\u3059\u3002 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       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30b7\u30b9\u30c6\u30e0\u306e\u5de8\u8996\u7684\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u306f\u3001\u5fae\u8996\u7684\u306a\u6570\u306e\u30b7\u30b9\u30c6\u30e0\u72b6\u614b\u306e\u5bfe\u6570\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002 \u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3055\u308c\u308b\u6bd4\u4f8b\u4fc2\u6570 k {displaystyle k} \u6c38\u7d9a\u7684\u306a\u30dc\u30eb\u30c4\u30de\u30f3\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u306e\u5b9a\u7fa9\u306f\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u3042\u308b\u5fae\u8996\u7684\u72b6\u614b\u306e\u30b7\u30b9\u30c6\u30e0\u304c \u3068 {displaystyle e} \u6e29\u5ea6\u30b5\u30fc\u30e2\u30b9\u30bf\u30c3\u30c8\u3068\u71b1\u30d0\u30e9\u30f3\u30b9\u306b\u3042\u308a\u307e\u3059 t \uff08 b = \u521d\u3081 \/ k t \uff09\uff09 \u3001 {displaystyleT\uff08beta = 1\/kt\uff09\u3001} \u3053\u306e\u72b6\u614b\u306e\u3053\u306e\u78ba\u7387\u306f\u6bd4\u4f8b\u3057\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4exp \u2061 (\u2212\u03b2E)\u3001 {displaystyle exp\u5de6\uff08-beta eright\uff09\u3001} \u3053\u306e\u30b5\u30a4\u30ba\u3068\u547c\u3073\u307e\u3059 \u30dc\u30eb\u30c4\u30de\u30f3\u56e0\u5b50 \u3002\u3059\u3079\u3066\u306e\u5fae\u8996\u7684\u72b6\u614b\u306e\u3053\u308c\u3089\u306e\u78ba\u7387\u306f\u7d71\u4e00\u3055\u308c\u306a\u3051\u308c\u3070\u306a\u308a\u307e\u305b\u3093\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u7d71\u8a08\u7684\u5408\u8a08\u3092\u5b9a\u7fa9\u3067\u304d\u307e\u3059\u3002 \u3068 = \u2211iexp \u2061 (\u2212\u03b2Ei)\u3001 {displaystyle z = sum _ {i} exp\u5de6\uff08-beta e_ {i}\u53f3\uff09\u3001} \u3069\u3053 \u3068 i{displaystyle e_ {i}} \u30a8\u30cd\u30eb\u30ae\u30fc\u3067\u3059 \u79c1 {displaystyle i}  – \u3053\u306e\u5fae\u8996\u7684\u6761\u4ef6\u3002\u7d71\u8a08\u7684\u5408\u8a08\u306f\u3001\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u304c\u5229\u7528\u3067\u304d\u308b\u72b6\u614b\u306e\u6570\u306e\u5c3a\u5ea6\u3067\u3059\u3002 \u500b\u3005\u306e\u72b6\u614b\u3067\u30b7\u30b9\u30c6\u30e0\u3092\u898b\u3064\u3051\u308b\u78ba\u7387 \uff08 \u79c1 \uff09\uff09 {displaystyle\uff08i\uff09} \u6e29\u5ea6\u3067 t {displaystylet} \u30a8\u30cd\u30eb\u30ae\u30fc\u3067 \u3068 i{displaystyle e_ {i}} \u306b\u7b49\u3057\u3044 pi= exp\u2061(\u2212\u03b2Ei)Z\u3002 {displaystyle p_ {i} = {frac {exp\uff08-beta e_ {i}\uff09} {z}}\u3002}\u3002 \u3053\u3053\u306b\u63b2\u8f09\u3055\u308c\u3066\u3044\u308b\u60c5\u5831\u306e\u4e00\u90e8\u306f\u3001\u691c\u8a3c\u304c\u5fc5\u8981\u3067\u3059\u3002 \u6ce8\uff1a\u30b7\u30e3\u30ce\u30f3\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\uff1f \u4f55\u3092\u6539\u5584\u3059\u3079\u304d\u304b\u306b\u3064\u3044\u3066\u306e\u3088\u308a\u8a73\u7d30\u306a\u60c5\u5831\u306f\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306e\u8b70\u8ad6\u306b\u8a18\u8f09\u3055\u308c\u3066\u3044\u307e\u3059\u3002 \u6b20\u9665\u3092\u6392\u9664\u3057\u305f\u5f8c\u3001\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u304b\u3089{{refine}}\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8\u3092\u524a\u9664\u3057\u307e\u3059\u3002 \u7d71\u8a08\u7684\u5408\u8a08\u3092\u4f7f\u7528\u3057\u3066\u3001\u9855\u5fae\u93e1\u30b5\u30a4\u30ba\u306e\u4e88\u60f3\u3055\u308c\u308b\uff08\u5e73\u5747\uff09\u5024\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5e73\u5747\u9855\u5fae\u93e1\u30a8\u30cd\u30eb\u30ae\u30fc \u3068 {displaystyle e} \u305d\u308c\u306f\u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u3057\u3066\u89e3\u91c8\u3055\u308c\u307e\u3059 \uff08 \u306e \uff09\uff09 {displaystyle\uff08u\uff09} \u71b1\u529b\u5b66\u3067\u3002\u3057\u305f\u304c\u3063\u3066 \u27e8 \u3068 \u27e9 = \u2211iEie\u2212\u03b2EiZ=  –  dZd\u03b2\/\u3068 {displaystyle langle arangle = {frac {sum _ {i} e_ {i} e^{ –  beta e_ {i}}} {z}} =  –  {frac {dz} {dbeta}}\/z}} \u89e3\u91c8\u3068\u3068\u3082\u306b \u27e8 \u3068 \u27e9 {DisplayStyle Langle Arangle} \u3068\u3057\u3066 \u306e \u3001 {displaystyleu\u3001} \u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u6b21\u306e\u5b9a\u7fa9\u3092\u793a\u3057\u307e\u3059\u3002 \u306e \uff1a=  –  dln\u2061Zd\u03b2\u3002 {displaystyle u\uff1a=  –  {frac {dln z} {dbeta}}\u3002}\u3002 \u30d1\u30bf\u30fc\u30f3\u304b\u3089\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\u3092\u5b9a\u7fa9\u3057\u307e\u3059\uff08\u30b7\u30e3\u30ce\u30f3\u306e\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\uff09 Sk=  –  \u2211ipiln \u2061 pi= \u2211ie\u2212\u03b2EiZ\uff08 b Ei+ ln \u2061 \u3068 \uff09\uff09 = ln \u2061 \u3068 + b \u306e \u3001 {displayStyle {frac {s} {k}} = -sum _ {i} p_ {i} ln p_ {i} = sum _ {i} {frac {e^{ –  beta e_ {i}}}}}}}}}}}}}}}}}}}}}}}}}}} \u305d\u308c\u306f\u4e0e\u3048\u307e\u3059  –  ln\u2061(Z)\u03b2= \u306e  –  t s = f \u3001 {displaystyle -{frac {ln\uff08z\uff09} {beta}} = u -ts = f\u3001} \u3069\u3053 f {displaystyle f} \u7269\u7406\u30b7\u30b9\u30c6\u30e0\u306b\u306f\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u3042\u308a\u307e\u3059\u3002 \u3068 = e\u2212\u03b2F\u3002 {displaystyle z = e^{ –  beta f}\u3002} \u57fa\u672c\u7684\u306a\u71b1\u529b\u5b66\u7684\u30dd\u30c6\u30f3\u30b7\u30e3\u30eb\u3092\u5b9a\u7fa9\u3057\u305f \u306e {displaystyleu} \uff08\u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3001 s {displaystyleS} \uff08\u30a8\u30f3\u30c8\u30ed\u30d4\u30fc\uff09i f {displaystyle f} \uff08\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3001\u7269\u7406\u30b7\u30b9\u30c6\u30e0\u3092\u8aac\u660e\u3059\u308b\u3059\u3079\u3066\u306e\u71b1\u529b\u5b66\u7684\u30b5\u30a4\u30ba\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002 \u7c92\u5b50\u306e\u6570\u304c\u4fdd\u5b58\u3055\u308c\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u5316\u5b66\u96fb\u4f4d\u3092\u5c0e\u5165\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 m j\u3001 {displaystyle mu _ {j}\u3001}  j = \u521d\u3081 \u3001 \u3002 \u3002 \u3002 \u3001 n {displaystyle j = 1\u3001…\u3001n} \u7d71\u8a08\u7684\u5408\u8a08\u3092\u7f6e\u304d\u63db\u3048\u307e\u3059 \u3068 = \u2211iexp \u2061 (\u03b2[\u2211j=1n\u03bcjNij\u2212Ei])\u3001 {displaystyle z = sum _ {i} exp left\uff08beta left [sum _ {j = 1}^{n} mu _ {j} n_ {ij} -e_ {i} right]\u3001} \u3069\u3053 n ij{displaystyle n_ {ij}} \u5c5e\u306b\u306f\u591a\u304f\u306e\u7c92\u5b50\u304c\u3042\u308a\u307e\u3059 j th{displaystyle j^{th}} \u306e \u79c1 {displaystyle i}  – \u9855\u5fae\u93e1\u72b6\u614b\u3002 \u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc\u30d8\u30eb\u30e0\u30db\u30eb\u30c4 F=\u2212ln\u2061Z\u03b2{displaystyle f =  –  {frac {ln z} {beta}}}}  \u5185\u90e8\u30a8\u30cd\u30eb\u30ae\u30fc U=\u2212(\u2202ln\u2061Z\u2202\u03b2)N,V{displaystyle u = -left\uff08{frac {partial ln z} {partial beta}}\u53f3\uff09_ {n\u3001v}}  \u30d7\u30ec\u30c3\u30b7\u30e3\u30fc P=\u2212(\u2202F\u2202V)N,T=1\u03b2(\u2202ln\u2061Z\u2202V)N,T{displaystyle p = -left\uff08{frac {partial f} {partial v}} right\uff09_ {n\u3001t} = {frac {1} {beta}}\u5de6\uff08{frac {partial ln z} {partial v}}\u53f3_ {n\u3001t}}}  \u30a8\u30f3\u30c8\u30ed\u30d4 S=k(ln\u2061Z+\u03b2U){displaystyle s = k\uff08ln z+beta u\uff09}  \u30ae\u30d6\u30b9\u306e\u81ea\u7531\u30a8\u30cd\u30eb\u30ae\u30fc G=F+PV=\u2212ln\u2061Z\u03b2+V\u03b2(\u2202ln\u2061Z\u2202V)N,T{displaystyle g = f+pv =  –  {frac {ln z} {beta}}+{frac {v} {beta}}}\u5de6\uff08{frac {partial ln z} {partial v}} _ {n\u3001t}}}}  \u30a8\u30f3\u30bf\u30eb\u30d4\u30a2 H=U+PV{displaystyle h = u+pv}  \u71b1\u5bb9\u91cf\uff08 V{displaystyle v} = const\uff09 CV=(\u2202U\u2202T)N,V{displaystyle c_ {v} = left\uff08{frac {partial u} {partial t}}\u53f3\uff09_ {n\u3001v}}  \u71b1\u5bb9\u91cf\uff08 p{displaystyle p} = const\uff09 CP=(\u2202H\u2202T)N,P{displaystyle c_ {p} = left\uff08{frac {partial h} {partial t}}\u53f3\uff09_ {n\u3001p}}  \u5316\u5b66\u96fb\u4f4d \u03bci=\u22121\u03b2(\u2202ln\u2061Z\u2202Ni)T,V,N{displaystyle mu _ {i} =  –  {frac {1} {beta}}\u5de6\uff08{frac {partial ln z} {partial n_ {i}}}\u53f3\uff09_ {t\u3001v\u3001n}}}  \u5927\u898f\u6a21\u306a\u6a19\u6e96\u30c1\u30fc\u30e0\u306e\u4f7f\u7528\u3068\u540c\u3058\u3067\u3059\uff1a \u306e = \u2211iEiexp\u2061(\u2212\u03b2(Ei\u2212\u2211j\u03bcjNij))Z\u3001 {displaystyle u = sum _ {i} e_ {i} {frac {exp\uff08e_ {i} -sum _ {j} mu _ {j} n_ {ij}\uff09} {z}}\u3001} Nj= \u2211iNijexp\u2061(\u2212\u03b2(Ei\u2212\u2211i\u03bcjNij))Z\u3002 {Displaystyle n_ {j} = sum _ {i} n_ {iJ} {frac {exp (-beta (e_ {i} -Sum _ {i} mu _ {j} n_ {ij}))} {z}}}.}.}.}.}.}.}.}.}.}.}.}.        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