ON SCALING PROPERTIES OF CLUSTER DISTRIBUTIONS IN ISING-MODELS

被引：8

作者：

RUGE, C

WAGNER, F

机构：

[1] Institut für Theoretische Physik und Sternwarte, Universität Kiel, Kiel

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 1-2期

关键词：

D=3 ISING MODEL; WOLFF ALGORITHM; CLUSTER SIZE DISTRIBUTION; CRITICAL EXPONENTS; FINITE-SIZE SCALING; PARAMETRIZATION;

D O I：

10.1007/BF01060061

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Scaling relations of cluster distributions for the Wolff algorithm are derived. We found them to be well satisfied for the Ising model in d = 3 dimensions. Using scaling and a parametrization of the cluster distribution. we determine the critical exponent beta/nu = 0.516(6) with moderate effort in computing time.

引用

页码：99 / 116

页数：18

共 18 条

[1] CRITICAL-TEMPERATURES OF THE D=3, S=1/2 ISING-MODEL - THE EFFECT OF CONFLUENT CORRECTIONS TO SCALING
ADLER, J
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (15): : 3585 - 3599
[2] FINITE-SIZE SCALING IN THE 3-DIMENSIONAL ISING-MODEL
BARBER, MN
PEARSON, RB
TOUSSAINT, D
RICHARDSON, JL
[J]. PHYSICAL REVIEW B, 1985, 32 (03): : 1720 - 1730
[3] BINDER K, 1976, PHASE TRANSITIONS B, V5
[4] CODDINGTON PD, 1990, APPLICATION TRANSPUT, V2, P488
[5] CLUSTERS AND ISING CRITICAL DROPLETS - A RENORMALIZATION GROUP-APPROACH
CONIGLIO, A
KLEIN, W
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1980, 13 (08): : 2775 - 2780
[6] MONTE-CARLO STUDY OF THE ISING-MODEL PHASE-TRANSITION IN TERMS OF THE PERCOLATION TRANSITION OF PHYSICAL CLUSTERS
DEMEO, MD
HEERMANN, DW
BINDER, K
[J]. JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) : 585 - 618
[7] SCALING THEORY FOR FINITE-SIZE EFFECTS IN CRITICAL REGION
FISHER, ME
BARBER, MN
[J]. PHYSICAL REVIEW LETTERS, 1972, 28 (23) : 1516 - &
[8] FISHER ME, 1967, PHYSICS, V3, P267
[9] RANDOM-CLUSTER MODEL .2. PERCOLATION MODEL
FORTUIN, CM
[J]. PHYSICA, 1972, 58 (03): : 393 - &
[10] RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS
FORTUIN, CM
KASTELEYN, PW
[J]. PHYSICA, 1972, 57 (04): : 536 - +

← 1 2 →