Novel Monte Carlo algorithms and their applications

Yutaka Okabe, Yusuke Tomita, Chiaki Yamaguchi

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1 Citation (Scopus)

Abstract

We 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.

Original languageEnglish
Pages (from-to)340-350
Number of pages11
JournalPhysica A: Statistical Mechanics and its Applications
Volume321
Issue number1-2
DOIs
Publication statusPublished - 2003 Apr 1

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Keywords

  • Broad histogram relation
  • Cluster algorithm
  • Correlation ratio
  • Finite-size scaling

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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