Bethe approximation in the Ising model with mobile impurities

被引：8

作者：

Semkin, S. V. ^{[1
]}

Smagin, V. P. ^{[1
]}

机构：

[1] Vladivostok State Univ Econ & Serv, Vladivostok 690014, Russia

来源：

PHYSICS OF THE SOLID STATE | 2015年 / 57卷 / 05期

关键词：

FIELD THEORY; TRANSFORMATION; FERROMAGNET;

D O I：

10.1134/S106378341505025X

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The Bethe approximation as applied to a system consisting of magnetic and nonmagnetic atoms in the thermodynamic equilibrium has been considered. In this approximation, the dependences of the magnetization and Curie temperature on the concentration of magnetic atoms for the Ising model with mobile nonmagnetic impurities have been constructed and the limiting concentrations of the appearance of spontaneous magnetization in the ground state have been obtained. It has been established that the considered approximation for a one-dimensional chain is the exact solution.

引用

页码：943 / 948

页数：6

共 50 条

[1] Bethe approximation in the Ising model with mobile impurities
S. V. Semkin
V. P. Smagin
[J]. Physics of the Solid State, 2015, 57 : 943 - 948
[2] Riemannian Geometry of Ising Model in the Bethe Approximation
Erdem, Rza
[J]. 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS, 2018, 1132
[3] ON THE BETHE APPROXIMATION FOR THE RANDOM BOND ISING-MODEL
HORIGUCHI, T
[J]. PHYSICA A, 1981, 107 (02): : 360 - 370
[4] PAIR (BETHE) APPROXIMATION APPLIED TO A FRUSTRATED ISING-MODEL
MORITA, T
[J]. PHYSICS LETTERS A, 1988, 132 (01) : 1 - 3
[5] BETHE-PEIERLS APPROXIMATION FOR DISORDERED ISING-MODEL
EGGARTER, TP
[J]. JOURNAL OF STATISTICAL PHYSICS, 1974, 11 (05) : 363 - 377
[6] Cluster Method of Constructing Bethe Approximation for the Ising Model of a Dilute Magnet
S. V. Semkin
V. P. Smagin
[J]. Russian Physics Journal, 2018, 60 : 1803 - 1810
[7] RANDOM FIELD ISING-MODEL IN THE BETHE-PEIERLS APPROXIMATION
ENTINWOHLMAN, O
HARTZSTEIN, C
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02): : 315 - 320
[8] Cluster Method of Constructing Bethe Approximation for the Ising Model of a Dilute Magnet
Semkin, S. V.
Smagin, V. P.
[J]. RUSSIAN PHYSICS JOURNAL, 2018, 60 (10) : 1803 - 1810
[9] Bethe-Peierls approximation for the 2D random Ising model
Paladin, G
Serva, M
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (07): : 1381 - 1395
[10] Probabilistic image processing by means of the Bethe approximation for the Q-Ising model
Tanaka, K
Inoue, J
Titterington, DM
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (43): : 11023 - 11035

← 1 2 3 4 5 →