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
AIZENMAN, M
WEHR, J
[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
ANGELESCU, N
ZAGREBNOV, VA
[J]. 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
BRANKOV, IG
ZAGREBNOV, VA
TONCHEV, NS
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1986, 66 (01) : 72 - 80
[5] FLUCTUATIONS IN THE CURIE-WEISS VERSION OF THE RANDOM FIELD ISING-MODEL
DEMATOS, JMGA
PEREZ, JF
[J]. JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (3-4) : 587 - 608
[6] PRESCRIBING A SYSTEM OF RANDOM VARIABLES BY CONDITIONAL DISTRIBUTIONS
DOBRUSHIN, RL
[J]. 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
DUFFIELD, NG
KUHN, R
[J]. 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

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