EXTREMITY OF THE DISORDERED PHASE IN THE ISING-MODEL ON THE BETHE LATTICE

被引：30

作者：

BLEHER, PM

机构：

[1] Institute of Applied Mathematics, Academy of Sciences of the USSR, Moscow

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 128卷 / 02期

关键词：

D O I：

10.1007/BF02108787

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the disordered Gibbs distribution in the ferromagnetic Ising model on the Bethe lattice is extreme for T≧TcSG, where TcSG is the critical temperature of the spin glass model on the Bethe lattice, and it is not extreme for T<TcSG. © 1990 Springer-Verlag.

引用

页码：411 / 419

页数：9

共 13 条

[1] Baxter R. J., 2007, EXACTLY SOLVED MODEL
[2] BLEHER PM, IN PRESS THEOR VEROY
[3] CRITICAL-BEHAVIOR OF THE BETHE LATTICE SPIN-GLASS
CARLSON, JM
CHAYES, JT
CHAYES, L
SETHNA, JP
THOULESS, DJ
[J]. EUROPHYSICS LETTERS, 1988, 5 (04): : 355 - 360
[4] A MEAN FIELD SPIN-GLASS WITH SHORT-RANGE INTERACTIONS
CHAYES, JT
CHAYES, L
SETHNA, JP
THOULESS, DJ
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 106 (01) : 41 - 89
[5] ISING SPIN SYSTEM ON A CAYLEY TREE - CORRELATION DECOMPOSITION AND PHASE-TRANSITION
FALK, H
[J]. PHYSICAL REVIEW B, 1975, 12 (11): : 5184 - 5189
[6] Georgii H.O., 1988, DEGRUYTER STUDIES MA, V9
[7] HIGUCHIY, 1977, PUBL RIMS KYOTO U, V13, P335
[8] BETHE LATTICE AND BETHE APPROXIMATION
KATSURA, S
TAKIZAWA, M
[J]. PROGRESS OF THEORETICAL PHYSICS, 1974, 51 (01): : 82 - 98
[9] INFINITE SUSCEPTIBILITY WITHOUT SPONTANEOUS MAGNETIZATION - EXACT PROPERTIES OF ISING-MODEL ON CAYLEY TREE
MATSUDA, H
[J]. PROGRESS OF THEORETICAL PHYSICS, 1974, 51 (04): : 1053 - 1063
[10] BRANCHING-PROCESS SHOWING A PHASE-TRANSITION
MOORE, T
SNELL, JL
[J]. JOURNAL OF APPLIED PROBABILITY, 1979, 16 (02) : 252 - 260

← 1 2 →