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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 Square-lattice Ising model ： ウィキペディア英語版 Square-lattice Ising model In statistical mechanics, the two-dimensional square-lattice Ising model is a simple model of interacting magnetic spins. The model is notable for having nontrivial interactions, yet having an analytical solution. The model was solved by for the special case that the external magnetic field ''H'' = 0. An analytical solution for the general case for $H\; \backslash neq\; 0$ has yet to be found. ==Definition of the model== Consider the 2D Ising model on a square lattice $\backslash Lambda$ with ''N'' sites, with periodic boundary conditions in both the horizontal and vertical directions, which effectively reduces the geometry of the model to a torus. In a general case, the horizontal coupling ''J'' is not equal to the coupling in the vertical direction, ''J *''. With an equal number of rows and columns in the lattice, there will be ''N'' of each. In terms of :$K\; =\; \backslash beta\; J$ :$L\; =\; \backslash beta\; J^$ where $\backslash beta\; =\; 1/(kT)$ where ''T'' is absolute temperature and ''k'' is Boltzmann's constant, the partition function $Z\_N(K,L)$ is given by :$Z\_N(K,L)\; =\; \backslash sum\_\; \backslash sigma\_i\; \backslash sigma\_j\; +\; L\; \backslash sum\_\; \backslash sigma\_i\; \backslash sigma\_j\; \backslash right).$ 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「Square-lattice Ising 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.