ASYMMETRIC LITTLE SPIN-GLASS MODEL

被引：10

作者：

BRUNETTI, R

PARISI, G

RITORT, F

机构：

[1] UNIV ROME 2,DIPARTIMENTO FIS,I-00173 ROME,ITALY

[2] UNIV BARCELONA,DEPT FIS FONAMENTAL,E-08020 BARCELONA,SPAIN

来源：

PHYSICAL REVIEW B | 1992年 / 46卷 / 09期

关键词：

D O I：

10.1103/PhysRevB.46.5339

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the static properties of the Little model with asymmetric couplings. We show that the thermodynamics of this model coincides with that of the Sherrington-Kirkpatrick model, and we compute the main finite-size corrections to the difference of the free energy between these two models and to some clarifying order parameters. Our results agree with numerical simulations. Numerical results are presented for the symmetric Little model, which show that the same conclusions are also valid in this case.

引用

页码：5339 / 5350

页数：12

共 16 条

[1] SPIN-GLASS MODELS OF NEURAL NETWORKS [J].

AMIT, DJ ;

GUTFREUND, H .

PHYSICAL REVIEW A, 1985, 32 (02) :1007-1018

[2] SPIN-GLASSES - EXPERIMENTAL FACTS, THEORETICAL CONCEPTS, AND OPEN QUESTIONS [J].

BINDER, K ;

YOUNG, AP .

REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :801-976

[3] SOME OBSERVATIONS ON THE MEAN-FIELD THEORY OF SPIN-GLASSES [J].

BRAY, AJ ;

MOORE, MA .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (03) :419-434

[4] EIGENSTATES AND LIMIT-CYCLES IN THE SK MODEL [J].

CABASINO, S ;

MARINARI, E ;

PAOLUCCI, P ;

PARISI, G .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (22) :4201-4210

[5] STABILITY OF SHERRINGTON-KIRKPATRICK SOLUTION OF A SPIN GLASS MODEL [J].

DEALMEIDA, JRL ;

THOULESS, DJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (05) :983-990

[6] EIGENVALUES OF THE STABILITY MATRIX FOR PARISI SOLUTION OF THE LONG-RANGE SPIN-GLASS [J].

DEDOMINICIS, C ;

KONDOR, I .

PHYSICAL REVIEW B, 1983, 27 (01) :606-608

[7]

DEDOMINICIS C, 1983, J PHYS A-MATH GEN, V16, P2063, DOI 10.1088/0305-4470/16/9/028

[8]

DEDOMINICIS C, 1985, LECTURE NOTES PHYSIC, V216

[9]

LITTLE W A, 1974, Mathematical Biosciences, V19, P101, DOI 10.1016/0025-5564(74)90031-5

[10]

MEZARD M, 1987, LECTURE NOTES PHYSIC, V9

← 1 2 →