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
收藏
页码：217 / 235
页数：19
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