The estimates of correlations in two-dimensional Ising model

被引：15
|
作者：
Wang, Jun [1 ]
机构：
[1] Beijing Jiaotong Univ, Dept Math, Coll Sci, Beijing 100044, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2009年 / 388卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Stochastic Ising model; Gibbs measure; Surface tension; Correlation; Boundary condition; Contour;
D O I：
10.1016/j.physa.2008.11.016
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the correlation inequalities and the decay of correlations of stochastic Ising model in a rectangle with side length 2L x K(LlnL)(1/2), where K is some positive constant. With different boundary conditions, at inverse temperature beta > & beta(c) or beta < beta(c) and zero external field, we show some estimates of the correlation functions for the two-dimensional Ising model. (c) 2008 Elsevier B.V. All rights reserved.
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页码：565 / 573
页数：9
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