A constructive description of ground states and Gibbs measures for Ising model with two-step interactions on Cayley tree

被引：23

作者：

Rozikov, UA ^{[1
]}

机构：

[1] Inst Math, Tashkent 700125, Uzbekistan

来源：

JOURNAL OF STATISTICAL PHYSICS | 2006年 / 122卷 / 02期

关键词：

Cayley tree; configuration; Ising model; ground state; Gibbs measure;

D O I：

10.1007/s10955-005-8029-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Ising model with (competing) two-step interactions and spin values +/- 1, on a Cayley tree of order k >= 1. We constructively describe groundstates and verify the Peierls condition for the model. We define notion of a contour for the model on the Cayley tree. Using a contour argument we show the existence of two different Gibbs measures.

引用

页码：217 / 235

页数：19

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