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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Classical XY model ： ウィキペディア英語版 Classical XY model The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. It is the special case of the n-vector model for . ==Definition== Given a -dimensional lattice , per each lattice site there is a two-dimensional, unit-length vector The spin configuration, is an assignment of the angle for each . Given a ''translation-invariant'' interaction and a point dependent external field $\backslash mathbf\_=(h\_j,0)$, the configuration energy is :$H(\backslash mathbf)\; =\; -\; \backslash sum\_\; J\_\backslash ;\; \backslash mathbf\_i\backslash cdot\backslash mathbf\_j\; -\backslash sum\_\; \backslash mathbf\_j\backslash cdot\; \backslash mathbf\_j\; =-\; \backslash sum\_\; J\_\backslash ;\; \backslash cos(\backslash theta\_i-\backslash theta\_j)\; -\backslash sum\_\; h\_j\backslash cos\backslash theta\_j$ The case in which except for nearest neighbor is called ''nearest neighbor'' case. The configuration probability is given by the Boltzmann distribution with inverse temperature : :$P(\backslash mathbf)=\backslash frac\}\; \backslash qquad\; Z=\backslash int\_d\backslash theta\_j\backslash ;e^.$ where is the normalization, or partition function. The notation $\backslash langle\; A(\backslash mathbf)\backslash rangle$ indicates the expectation of the random variable in the infinite volume limit, after ''periodic boundary conditions'' have been imposed. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Classical XY model」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.