Application of new Monte Carlo algorithms to random spin systems

被引:25
作者
Okabe, Y [1 ]
Tomita, Y [1 ]
Yamaguchi, C [1 ]
机构
[1] Tokyo Metropolitan Univ, Dept Phys, Hachioji, Tokyo 1920397, Japan
关键词
cluster algorithm; Ising model; random spin systems;
D O I
10.1016/S0010-4655(02)00435-6
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We explain the idea of the probability-changing cluster (PCC) algorithm, which is an extended version of the Swendsen-Wang algorithm. With this algorithm, we can tune the critical point automatically. We show the effectiveness of the PCC algorithm for the case of the three-dimensional (3D) Ising model. We also apply this new algorithm to the study of the 3D diluted Ising model. Since we tune the critical point of each random sample automatically with the PCC algorithm, we can investigate the sample-dependent critical temperature and the sample average of physical quantities at each critical temperature, systematically. We have also applied another newly proposed algorithm, the Wang-Landau algorithm, to the study of the spin glass problem. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:63 / 68
页数:6
相关论文
共 27 条
[1]   Absence of self-averaging and universal fluctuations in random systems near critical points [J].
Aharony, A ;
Harris, AB .
PHYSICAL REVIEW LETTERS, 1996, 77 (18) :3700-3703
[2]   MULTICANONICAL ALGORITHMS FOR 1ST ORDER PHASE-TRANSITIONS [J].
BERG, BA ;
NEUHAUS, T .
PHYSICS LETTERS B, 1991, 267 (02) :249-253
[3]   MULTICANONICAL ENSEMBLE - A NEW APPROACH TO SIMULATE 1ST-ORDER PHASE-TRANSITIONS [J].
BERG, BA ;
NEUHAUS, T .
PHYSICAL REVIEW LETTERS, 1992, 68 (01) :9-12
[4]   Broad histogram Monte Carlo [J].
de Oliveira, PMC ;
Penna, TJP ;
Herrmann, HJ .
EUROPEAN PHYSICAL JOURNAL B, 1998, 1 (02) :205-208
[5]   REPLICA SYMMETRY-BREAKING AND THE RENORMALIZATION-GROUP THEORY OF THE WEAKLY DISORDERED FERROMAGNET [J].
DOTSENKO, V ;
FELDMAN, DE .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (18) :5183-5206
[6]   REPLICA-SYMMETRY BREAKING IN THE CRITICAL-BEHAVIOR OF THE RANDOM FERROMAGNET [J].
DOTSENKO, V ;
HARRIS, AB ;
SHERRINGTON, D ;
STINCHCOMBE, RB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (11) :3093-3107
[7]   Griffiths singularities and the replica instantons in the random ferromagnet [J].
Dotsenko, VS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (16) :2949-2959
[8]   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
[9]   RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS [J].
FORTUIN, CM ;
KASTELEYN, PW .
PHYSICA, 1972, 57 (04) :536-+
[10]   EFFECT OF RANDOM DEFECTS ON CRITICAL BEHAVIOR OF ISING MODELS [J].
HARRIS, AB .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (09) :1671-1692