A MONTE-CARLO STUDY OF THE DYNAMICS OF THE ISING SK MODEL

被引：15

作者：

COLBORNE, SGW ^{[1
]}

机构：

[1] UNIV MANCHESTER,SCHUSTER LAB,DEPT THEORET PHYS,MANCHESTER M13 9PL,LANCS,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 17期

关键词：

D O I：

10.1088/0305-4470/23/17/030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The ergodic and short-time dynamics of the Ising Sherrington-Kirkpatrick model have been studied using the Monte Carlo method. The ergodic time associated with each bond configuration has been numerically calculated using an order parameter that is only sensitive to global spin flips. Assuming that the mean ergodic barrier height diverges with system size N as Nlambda we find lambda =0.25+or-0.05. For the short-time dynamics the relaxation of order parameters that are insensitive to ergodic fluctuations are controlled by a spectrum of barriers. The largest of these diverges as Nmu where 0.25( mu (0.45.

引用

页码：4013 / 4023

页数：11

共 20 条

[1] 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

[2] METASTABLE STATES IN SPIN-GLASSES [J].

BRAY, AJ ;

MOORE, MA .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (19) :L469-L476

[3] 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

[4] WHITE AND WEIGHTED AVERAGES OVER SOLUTIONS OF PALMER,THOULESS,ANDERSON EQUATIONS FOR THE KIRKPATRICK,SHERRINGTON SPIN-GLASS [J].

DEDOMINICIS, C ;

GABAY, M ;

GAREL, T ;

ORLAND, H .

JOURNAL DE PHYSIQUE, 1980, 41 (09) :923-930

[5]

EDWARDS SF, 1975, J PHYS F MET PHYS, V5, P968

[6]

GLAUBER RJ, 1963, J MATH PHYS, V4, P293

[7] LACK OF ERGODICITY IN THE INFINITE-RANGE ISING SPIN-GLASS [J].

MACKENZIE, ND ;

YOUNG, AP .

PHYSICAL REVIEW LETTERS, 1982, 49 (05) :301-307

[8] STATICS AND DYNAMICS OF THE INFINITE-RANGE ISING SPIN-GLASS MODEL [J].

MACKENZIE, ND ;

YOUNG, AP .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (27) :5321-5337

[9] MEAN FIELD-THEORY FOR SPIN-GLASSES [J].

PARISI, G .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1980, 67 (01) :25-28

[10] THE MAGNETIC-PROPERTIES OF THE SHERRINGTON-KIRKPATRICK MODEL FOR SPIN-GLASSES - THEORY VERSUS MONTE-CARLO SIMULATIONS [J].

PARISI, G .

PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1980, 41 (06) :677-680

← 1 2 →