Ising models on hyperbolic graphs

被引：25

作者：

Wu, CC

机构：

[1] Department of Mathematics, Pennsylvania State University, Monaca

来源：

JOURNAL OF STATISTICAL PHYSICS | 1996年 / 85卷 / 1-2期

关键词：

Ising/Potts models; Fortuin-Kasteleyn random cluster models; hyperbolic graphs;

D O I：

10.1007/BF02175564

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H-2 in the same sense as Z(d) is a discretization of R(d). We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.

引用

收藏

页码：251 / 259

页数：9

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