Novel Monte Carlo algorithms and their applications

Yutaka Okabe, Yusuke Tomita, Chiaki Yamaguchi

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)340-350
ページ数11
ジャーナルPhysica A: Statistical Mechanics and its Applications
321
1-2
DOI
出版ステータスPublished - 2003 4 1
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 凝縮系物理学

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