New Phase Transitions of the Ising Model on Cayley Trees

被引：17

作者：

Gandolfo, D. ^{[1
,2
]}

Haydarov, F. H. ^{[3
]}

Rozikov, U. A. ^{[4
]}

Ruiz, J. ^{[1
,2
]}

机构：

[1] Aix Marseille Univ, CNRS, CPT, UMR 7332, F-13288 Marseille, France

[2] Univ Toulon & Var, CNRS, CPT, UMR 7332, F-83957 La Garde, France

[3] Natl Univ Uzbekistan, Tashkent, Uzbekistan

[4] Inst Math, Tashkent 100125, Uzbekistan

来源：

JOURNAL OF STATISTICAL PHYSICS | 2013年 / 153卷 / 03期

关键词：

Phase transitions; Ising model; Cayley tree; Gibbs measure; Free energy; Boundary condition;

D O I：

10.1007/s10955-013-0836-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the nearest neighbor Ising model on the Cayley tree exhibits new temperature-driven phase transitions. These transitions occur at various inverse temperatures different from the critical one. They are characterised by a change in the number of Gibbs states as well as by a drastic change of the behavior of free energies at these new transition points. We also consider the model in the presence of an external field and compute the free energies of translation invariant and some alternating boundary conditions.

引用

页码：400 / 411

页数：12

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