EMPIRICAL RELATIONS BETWEEN STATIC AND DYNAMIC EXPONENTS FOR ISING-MODEL CLUSTER ALGORITHMS

被引：38

作者：

CODDINGTON, PD ^{[1
]}

BAILLIE, CF ^{[1
]}

机构：

[1] UNIV COLORADO,DEPT PHYS,BOULDER,CO 80309

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.68.962

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We have measured the autocorrelations for the Swendsen-Wang and the Wolff cluster update algorithms for the Ising model in two, three, and four dimensions. The data for the Wolff algorithm suggest that the autocorrelations are linearly related to the specific heat, in which case the dynamic critical exponent is z(int,E)W = alpha/nu. For the Swendsen-Wang algorithm, scaling the autocorrelations by the average maximum cluster size gives either a constant or a logarithm, which implies that z(int,E)SW = beta/nu for the Ising model.

引用

页码：962 / 965

页数：4

共 26 条

[1]

[Anonymous], 2001, MODERN THEORY CRITIC

[2]

Baillie C. F., 1990, International Journal of Modern Physics C (Physics and Computers), V1, P91, DOI 10.1142/S0129183190000050

[3] COMPARISON OF CLUSTER ALGORITHMS FOR 2-DIMENSIONAL POTTS MODELS [J].

BAILLIE, CF ;

CODDINGTON, PD .

PHYSICAL REVIEW B, 1991, 43 (13) :10617-10621

[4] CLUSTER IDENTIFICATION ALGORITHMS FOR SPIN MODELS - SEQUENTIAL AND PARALLEL [J].

BAILLIE, CF ;

CODDINGTON, PD .

CONCURRENCY-PRACTICE AND EXPERIENCE, 1991, 3 (02) :129-144

[5] FINITE-SIZE SCALING IN THE 3-DIMENSIONAL ISING-MODEL [J].

BARBER, MN ;

PEARSON, RB ;

TOUSSAINT, D ;

RICHARDSON, JL .

PHYSICAL REVIEW B, 1985, 32 (03) :1720-1730

[6] CRITICAL-BEHAVIOR OF THE 4-DIMENSIONAL ISING-MODEL [J].

BLOTE, HWJ ;

SWENDSEN, RH .

PHYSICAL REVIEW B, 1980, 22 (09) :4481-4483

[7]

CODDINGTON PD, IN PRESS

[8] CLUSTERS AND ISING CRITICAL DROPLETS - A RENORMALIZATION GROUP-APPROACH [J].

CONIGLIO, A ;

KLEIN, W .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (08) :2775-2780

[9]

DONORIO M, 1990, J STAT PHYS, V60, P585

[10] THEORY OF CONDENSATION AND CRITICAL POINT [J].

FISHER, ME .

PHYSICS-NEW YORK, 1967, 3 (05) :255-&

← 1 2 3 →