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Novel Monte Carlo algorithms and their applications

Author

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  • Okabe, Yutaka
  • Tomita, Yusuke
  • Yamaguchi, Chiaki

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.

Suggested Citation

  • Okabe, Yutaka & Tomita, Yusuke & Yamaguchi, Chiaki, 2003. "Novel Monte Carlo algorithms and their applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(1), pages 340-350.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:1:p:340-350
    DOI: 10.1016/S0378-4371(02)01792-2
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