ANTIFERROMAGNETIC POTTS-MODEL - PHASE-TRANSITION THROUGH DOUBLING BIFURCATION

被引：17

作者：

AKHEYAN, AZ

ANANIKIAN, NS

机构：

来源：

PHYSICS LETTERS A | 1994年 / 186卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(94)90941-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The antiferromagnetic Potts model in the magnetic field is rigorously considered on the Bethe lattice by means of a recursion relation. This allows one to study the critical properties of the model as the properties of the iteration sequence {x(n)} in the limit n --> infinity. We observe the line of the second order phase transition, occurring as a period doubling bifurcation of the recursive sequence.

引用

收藏

页码：171 / 174

页数：4

相关论文

共 14 条

[1] THE GAUGE POTTS-MODEL ON A GENERALIZED BETHE LATTICE [J].

AKHEYAN, AZ ;

ANANIKIAN, NS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (11) :3111-3119

[2]

AKHEYAN AZ, IN PRESS J STAT PHYS

[3] PHASE-DIAGRAMS AND TRICRITICAL EFFECTS IN THE BEG MODEL [J].

ANANIKIAN, NS ;

AVAKIAN, AR ;

IZMAILIAN, NS .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1991, 172 (03) :391-404

[4]

ANANIKIAN NS, 1986, 20 P INT S AHR, P74

[5]

ANANIKIAN NS, 1990, PHYS LETT A, V150, P163

[6] GROUND-STATE ENTROPY AND ALGEBRAIC ORDER AT LOW-TEMPERATURES [J].

BERKER, AN ;

KADANOFF, LP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (07) :L259-L264

[7] PHASE-DIAGRAM OF THE ISING-MODEL ON A CAYLEY TREE IN THE PRESENCE OF COMPETING INTERACTIONS AND MAGNETIC-FIELD [J].

MARIZ, AM ;

TSALLIS, C ;

ALBUQUERQUE, EL .

JOURNAL OF STATISTICAL PHYSICS, 1985, 40 (3-4) :577-592

[8] PHASE-DIAGRAMS OF ISING-MODELS ON HUSIMI TREES .1. PURE MULTISITE INTERACTION SYSTEMS [J].

MONROE, JL .

JOURNAL OF STATISTICAL PHYSICS, 1991, 65 (1-2) :255-268

[9] PHASE-DIAGRAMS OF ISING-MODELS ON HUSIMI TREES .2. PAIR AND MULTISITE INTERACTION SYSTEMS [J].

MONROE, JL .

JOURNAL OF STATISTICAL PHYSICS, 1992, 67 (5-6) :1185-1200

[10] PHASE-DIAGRAMS OF THE Q-STATE POTTS-MODEL ON BETHE LATTICES [J].

PERUGGI, F ;

DILIBERTO, F ;

MONROY, G .

PHYSICA A, 1987, 141 (01) :151-186