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29 March 2024
 
  » arxiv » cond-mat/0211035

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Novel Monte Carlo algorithms and their applications
Yutaka Okabe ; Yusuke Tomita ; Chiaki Yamaguchi ;
Date 2 Nov 2002
Journal Physica A 321, 340-350 (2003)
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe describe a generalized scheme for the probability-changing cluster (PCC) algorithm, based on the study of the finite-size scaling property of the correlation ratio, the ratio of the correlation functions with different distances. We apply this generalized PCC algorithm to the two-dimensional 6-state clock model. We also discuss the combination of the cluster algorithm and the extended ensemble method. We derive a rigorous broad histogram relation for the bond number. A Monte Carlo dynamics based on the number of potential moves for the bond number is proposed, and applied to the three-dimensional Ising and 3-state Potts models.
Source arXiv, cond-mat/0211035
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