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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 Random energy model ： ウィキペディア英語版 Random energy model In statistical physics of disordered systems, the random energy model is a toy model of a system with quenched disorder. It concerns the statistics of a system of $N$ particles, such that the number of possible states for the systems grow as $2^N$, while the energy of such states is a Gaussian stochastic variable. The model has an exact solution. Its simplicity makes this model suitable for pedagogical introduction of concepts like quenched disorder and replica symmetry. ==Comparison with other disordered systems== The $r$-spin Infinite Range Model, in which all $r$-spin sets interact with a random, independent, identically distributed interaction constant, becomes the Random-Energy Model in a suitably defined $r\backslash to\backslash infty$ limit. More precisely, if the Hamiltonian of the model is defined by $$ H(\sigma)=\sum_\sigma_\cdots\sigma_, where the sum runs over all $$ distinct sets of $r$ indices, and, for each such set, $\backslash$, $J\_$ is an independent Gaussian variable of mean 0 and variance $J^2r!/(2\; N^)$, the Random-Energy model is recovered in the $r\backslash to\backslash infty$ limit. 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「Random energy 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.