Third and fourth order phase transitions: Exact solution for the Ising model on the Cayley tree

被引：1

作者：

Stosic, Borko D. ^{[1
]}

Stosic, Tatijana ^{[1
]}

Fittipaldi, Ivon P. ^{[2
]}

机构：

[1] Univ Fed Rural Pernambuco, Dept Estatist & Informat, BR-52171900 Recife, PE, Brazil

[2] Minist Ciencia & Tecnol, BR-50740540 Recife, PE, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2009年 / 388卷 / 07期

关键词：

Cayley tree; Ising model; Phase transitions; ZERO-FIELD SUSCEPTIBILITY; BEHAVIOR;

D O I：

10.1016/j.physa.2008.12.051

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work we present the first exact solution of a system of interacting particles with phase transitions of order higher than two. The presented analytical derivation shows that the Ising model on the Cayley tree exhibits a line of third order phase transition points, between temperatures T(2) = 2k(B)(-1)J In(root 2 + 1) and T(BP) = k(B)(-1)J In(3), and a line of fourth order phase transitions between T(BP) and infinity, where k(B) is the Boltzmann constant, and J is the nearest-neighbor interaction parameter. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：1074 / 1078

页数：5

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