RANDOM INFINITE-VOLUME GIBBS-STATES FOR THE CURIE-WEISS RANDOM FIELD ISING-MODEL

被引：27

作者：

DEMATOS, JMGA ^{[1
]}

PATRICK, AE ^{[1
]}

ZAGREBNOV, VA ^{[1
]}

机构：

[1] JOINT NUCL RES INST,THEORET PHYS LAB,DUBNA 141980,USSR

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 1-2期

关键词：

RANDOM-FIELD; ISING MODEL; GIBBS STATES; SELF-AVERAGING;

D O I：

10.1007/BF01060064

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An approach to the definition of infinite-volume Gibbs states for the (quenched) random-field Ising model is considered in the case of a Curie-Weiss ferromagnet. It turns out that these states are random quasi-free measures. They are random convex linear combinations of the free product-measures "shifted" by the corresponding effective mean fields. The conditional self-averaging property of the magnetization related to this randomness is also discussed.

引用

页码：139 / 164

页数：26

共 28 条

[1] ROUNDING EFFECTS OF QUENCHED RANDOMNESS ON 1ST-ORDER PHASE-TRANSITIONS [J].

AIZENMAN, M ;

WEHR, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 130 (03) :489-528

[2] A GENERALIZED QUASIAVERAGE APPROACH TO THE DESCRIPTION OF THE LIMIT STATES OF THE N-VECTOR CURIE-WEISS FERROMAGNET [J].

ANGELESCU, N ;

ZAGREBNOV, VA .

JOURNAL OF STATISTICAL PHYSICS, 1985, 41 (1-2) :323-334

[3]

ANGELESCU N, 4 P VILN C PROB THEO, V1, P69

[4] DESCRIPTION OF LIMIT GIBBS-STATES FOR CURIE-WEISS-ISING MODEL [J].

BRANKOV, IG ;

ZAGREBNOV, VA ;

TONCHEV, NS .

THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 66 (01) :72-80

[5] FLUCTUATIONS IN THE CURIE-WEISS VERSION OF THE RANDOM FIELD ISING-MODEL [J].

DEMATOS, JMGA ;

PEREZ, JF .

JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (3-4) :587-608

[6] PRESCRIBING A SYSTEM OF RANDOM VARIABLES BY CONDITIONAL DISTRIBUTIONS [J].

DOBRUSHIN, RL .

THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1970, 15 (03) :458-+

[7]

Dobrusin RL., 1968, THEOR PROBAB APPL+, V13, P201

[8] THE THERMODYNAMICS OF SITE-RANDOM MEAN-FIELD QUANTUM SPIN SYSTEMS [J].

DUFFIELD, NG ;

KUHN, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (21) :4643-4658

[9]

Ellis R.S., 1985, ENTROPY LARGE DEVIAT

[10]

FANNES M, 1980, J MATH PHYS, V21, P355, DOI 10.1063/1.524422

← 1 2 3 →