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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 Gibbs state ： ウィキペディア英語版 Gibbs state In probability theory and statistical mechanics, a Gibbs state is an equilibrium probability distribution which remains invariant under future evolution of the system. For example, a stationary or steady-state distribution of a Markov chain, such as that achieved by running a Markov chain Monte Carlo iteration for a sufficiently long time, is a Gibbs state. Precisely, suppose $L\; \backslash ;$ is a generator of evolutions for an initial state $\backslash rho\_0\; \backslash ;$, so that the state at any later time is given by $\backslash rho(t)\; =\; e^\; ()\; \backslash ;$. Then the condition for $\backslash rho\_\; \backslash ;$ to be a Gibbs state is :$L\; ()\; =\; 0$ . In physics there may be several physically distinct Gibbs states in which a system may be trapped, particularly at lower temperatures. They are named after Josiah Willard Gibbs, for his work in determining equilibrium properties of statistical ensembles. Gibbs himself referred to this type of statistical ensemble as being in "statistical equilibrium". == See also == * Gibbs algorithm * Gibbs measure 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「Gibbs state」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.