INVADED CLUSTER ALGORITHM FOR EQUILIBRIUM CRITICAL-POINTS

被引：56

作者：

MACHTA, J ^{[1
]}

CHOI, YS ^{[1
]}

LUCKE, A ^{[1
]}

SCHWEIZER, T ^{[1
]}

CHAYES, LV ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES,DEPT MATH,LOS ANGELES,CA 90095

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.75.2792

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new cluster algorithm based on invasion percolation is described. The algorithm samples the critical point of a spin system without a priori knowledge of the critical temperature and provides an efficient way to determine the critical temperature and other observables in the critical region. The method is illustrated for the two- and three-dimensional Ising models. The algorithm equilibrates spin configurations much faster than the closely related Swendsen-Wang algorithm.

引用

收藏

页码：2792 / 2795

页数：4

相关论文

共 16 条

[1] SHARPNESS OF THE PHASE-TRANSITION IN PERCOLATION MODELS [J].

AIZENMAN, M ;

BARSKY, DJ .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (03) :489-526

[2] CAPILLARY DISPLACEMENT AND PERCOLATION IN POROUS-MEDIA [J].

CHANDLER, R ;

KOPLIK, J ;

LERMAN, K ;

WILLEMSEN, JF .

JOURNAL OF FLUID MECHANICS, 1982, 119 (JUN) :249-267

[3] THE STOCHASTIC GEOMETRY OF INVASION PERCOLATION [J].

CHAYES, JT ;

CHAYES, L ;

NEWMAN, CM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 101 (03) :383-407

[4] BULK TRANSPORT-PROPERTIES AND EXPONENT INEQUALITIES FOR RANDOM RESISTOR AND FLOW NETWORKS [J].

CHAYES, JT ;

CHAYES, L .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (01) :133-152

[5] 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

[6] CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL ISING-MODEL - A HIGH-RESOLUTION MONTE-CARLO STUDY [J].

FERRENBERG, AM ;

LANDAU, DP .

PHYSICAL REVIEW B, 1991, 44 (10) :5081-5091

[7] RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS [J].

FORTUIN, CM ;

KASTELEYN, PW .

PHYSICA, 1972, 57 (04) :536-+

[8]

GRIMMETT G, 1991, P ROY SOC LOND A MAT, V430, P439

[9]

HAMMERSLEY JM, 1963, METHODS COMPUTATIONA, V1

[10]

MACHTA J, UNPUB