Diluted generalized random energy model

被引：9

作者：

Saakian, DB ^{[1
]}

机构：

[1] Yerevan Phys Inst, Yerevan 375036, Armenia

[2] Joint Inst Nucl Res, LCTA, Dubna 141980, Moscow Region, Russia

来源：

JETP LETTERS | 1998年 / 67卷 / 06期

关键词：

75.10.Nr; 05.50+q;

D O I：

10.1134/1.567688

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A layered random spin model, equivalent to the generalized random energy model (GREM), is introduced. In analogy with diluted spin systems, a diluted GREM (DGREM) is constructed. It can be applied to calculate approximately the thermodynamic properties of spin glass models in low dimensions. For the Edwards-Anderson model it gives the correct critical dimension and 5% accuracy for the ground state energy in two dimensions. (C) 1998 American Institute of Physics. [S0021-3640(98)01106-2].

引用

页码：440 / 444

页数：5

共 11 条

[1] Finite size effects for the dilute coupling Derrida model [J].

Allakhverdyan, AE ;

Saakian, DB .

NUCLEAR PHYSICS B, 1997, 498 (03) :604-618

[2]

[Anonymous], 1985, J PHYS LETT-PARIS, DOI 10.1051/jphyslet:01985004609040100

[3] SOLUTION OF THE GENERALIZED RANDOM ENERGY-MODEL [J].

DERRIDA, B ;

GARDNER, E .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (13) :2253-2274

[4] RANDOM-ENERGY MODEL - LIMIT OF A FAMILY OF DISORDERED MODELS [J].

DERRIDA, B .

PHYSICAL REVIEW LETTERS, 1980, 45 (02) :79-82

[5] MAGNETIC-PROPERTIES AND THE FUNCTION Q(X) OF THE GENERALIZED RANDOM-ENERGY MODEL [J].

DERRIDA, B ;

GARDNER, E .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1986, 19 (29) :5783-5798

[6] Exact ground states of two-dimensional +/-J ising spin glasses [J].

DeSimone, C ;

Diehl, M ;

Junger, M ;

Mutzel, P ;

Reinelt, G ;

Rinaldi, G .

JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (5-6) :1363-1371

[7]

DOMINICIS D, 1987, J PHYS A, V20, pL267

[8]

RUJAN P, 1997, CODING THEORY MARKOV

[9]

SAAKIAN D, 1992, JETP LETT, V55, P798

[10]

SHERRINGTON D, 1975, PHYS REV LETT, V32, P1972

← 1 2 →