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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 Rushbrooke inequality ： ウィキペディア英語版 Rushbrooke inequality In statistical mechanics, the Rushbrooke inequality relates the critical exponents of a magnetic system which exhibits a first-order phase transition in the thermodynamic limit for non-zero temperature ''T''. Since the Helmholtz free energy is extensive, the normalization to free energy per site is given as :$f\; =\; -kT\; \backslash lim\_\; \backslash frac\backslash log\; Z\_N$ The magnetization ''M'' per site in the thermodynamic limit, depending on the external magnetic field ''H'' and temperature ''T'' is given by :$M(T,H)\; \backslash \; \backslash stackrel\backslash \; \backslash lim\_\; \backslash frac\; \backslash left(\; \backslash sum\_i\; \backslash sigma\_i\; \backslash right)\; =\; -\; \backslash left(\; \backslash frac\; \backslash right)\_T$ where $\backslash sigma\_i$ is the spin at the i-th site, and the magnetic susceptibility and specific heat at constant temperature and field are given by, respectively :$\backslash chi\_T(T,H)\; =\; \backslash left(\; \backslash frac\; \backslash right)\_T$ and :$c\_H\; =\; -T\; \backslash left(\; \backslash frac\; \backslash right)\_H.$ ==Definitions== The critical exponents $\backslash alpha,\; \backslash alpha\text{'},\; \backslash beta,\; \backslash gamma,\; \backslash gamma\text{'}$ and $\backslash delta$ are defined in terms of the behaviour of the order parameters and response functions near the critical point as follows :$M(t,0)\; \backslash simeq\; (-t)^\backslash mboxt\; \backslash uparrow\; 0$ :$M(0,H)\; \backslash simeq\; |H|^\; \backslash operatorname(H)\backslash mboxH\; \backslash rightarrow\; 0$ :$\backslash chi\_T(t,0)\; \backslash simeq\; \backslash begin$ 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「Rushbrooke inequality」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.