翻訳と辞書
Words near each other
・ Eight-in-the-box defense
・ Eight-legged essay
・ Eight-lined wrasse
・ Eight-man football
・ Eight-man football defensive formations
・ Eight-Nation Alliance
・ Eight-point algorithm
・ Eight-Point Gallery Cafe
・ Eight-point Regulation
・ Eight-spotted skimmer
・ Eight-spotted Skipper
・ Eight-string bass guitar
・ Eight-string guitar
・ Eight-thousander
・ Eight-to-fourteen modulation
Eight-vertex model
・ Eight-wheel drive
・ Eightball (comics)
・ Eightball Records
・ Eightball Tasmania
・ Eightband butterflyfish
・ Eightcubed
・ Eighteam
・ Eighteen (film)
・ Eighteen Arhats
・ Eighteen Arms of Wushu
・ Eighteen Chefs
・ Eighteen History Books of Jin
・ Eighteen Hundred and Eleven
・ Eighteen Hundred Block Park Road, NW


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Eight-vertex model : ウィキペディア英語版
Eight-vertex model
In statistical mechanics, the eight-vertex model is a generalisation of the ice-type (six-vertex) models; it was discussed by Sutherland,〔B. Sutherland, J. Math. Phys. 11, 3183 (1970).〕 and Fan & Wu,〔C. Fan and F. Y. Wu, Phys. Rev. B 2, 723 (1970).〕 and solved by Baxter in the zero-field case.〔R. Baxter, Phys. Rev. Letters 26, 832 (1971).〕
==Description==

As with the ice-type models, the eight-vertex model is a square lattice model, where each state is a configuration of arrows at a vertex. The allowed vertices have an even number of arrows pointing towards the vertex; these include the six inherited from the ice-type model (1-6), and sinks and sources (7, 8).
We consider a N\times N lattice, with N^2 vertices and 2N^2 edges. Imposing periodic boundary conditions requires that the states 7 and 8 occur equally often, as do states 5 and 6, and thus can be taken to have the same energy. For the zero-field case the same is true for the two other pairs of states. Each vertex j has an associated energy \epsilon_j and Boltzmann weight w_j=e^}, giving the partition function over the lattice as
:
Z=\sum \exp\left(-\frac\right)

where the summation is over all allowed configurations of vertices in the lattice. In this general form the partition function remains unsolved.

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「Eight-vertex 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.