Thermodynamics of the Ising model in pair approximation

被引：27

作者：

Balcerzak, T ^{[1
]}

机构：

[1] Univ Lodz, Dept Solid State Phys, PL-90236 Lodz, Poland

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 317卷 / 1-2期

关键词：

Ising models; statistical thermodynamics; magnetic properties;

D O I：

10.1016/S0378-4371(02)01327-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A complete thermodynamic description for the Ising model in the pair approximation is given. The minimisation of the Gibbs energy is performed with respect to the magnetisation and nearest-neighbour correlation function, treated as the variational parameters. The results are discussed and illustrated in the figures. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：213 / 226

页数：14

共 17 条

[1] Magnetic properties of the Blume-Emery-Griffiths model in the vicinity of an antiferromagnetic Potts line [J].

Balcerzak, T ;

Gzik-Szumiata, M .

PHYSICAL REVIEW B, 1999, 60 (13) :9450-9455

[2] CLUSTER IDENTITIES IN LOCALIZED SPIN SYSTEMS [J].

BALCERZAK, T .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1991, 97 (1-3) :152-168

[3] Cluster variational method for critical concentration calculations of site-diluted Ising model [J].

Balcerzak, T .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2001, 223 (03) :309-314

[4] THEORY OF FIRST-ORDER MAGNETIC PHASE CHANGE IN UO2 [J].

BLUME, M .

PHYSICAL REVIEW, 1966, 141 (02) :517-&

[5] ONE-SPIN AND 2-SPIN CLUSTER APPROXIMATIONS FOR THE SITE-DILUTED SPIN-1 ISING-MODEL [J].

BOBAK, A ;

MOCKOVCIAK, S ;

SIVULKA, J .

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 1993, 176 (02) :477-483

[6] CLUSTER-VARIATION APPROACH TO THE SPIN-1/2 XXZ MODEL [J].

BUKMAN, DJ ;

AN, GZ ;

VANLEEUWEN, JMJ .

PHYSICAL REVIEW B, 1991, 43 (16) :13352-13364

[7] ON THE THEORY OF COOPERATIVE PHENOMENA IN CRYSTALS [J].

DOMB, C .

ADVANCES IN PHYSICS, 1960, 9 (34) :149-361

[8]

DOMB C, 1974, PHASE TRANSITIONS CR, V3

[9] AN APPROXIMATE METHOD FOR THE FREE-ENERGY [J].

FERREIRA, JRF ;

SILVA, NP .

PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1983, 118 (02) :829-833

[10] THERMODYNAMICS OF THE ONE-DIMENSIONAL BLUME-CAPEL MODEL WITH AN ARBITRARY SPIN [J].

JASCUR, M ;

KANEYOSHI, T .

PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 1992, 174 (02) :537-546

← 1 2 →