Novel Monte Carlo algorithms and their applications

Yutaka Okabe, Yusuke Tomita, Chiaki Yamaguchi

Research output: Contribution to journalArticle

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
Externally publishedYes

Fingerprint

Bond number
histograms
clocks
scaling

Keywords

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

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Novel Monte Carlo algorithms and their applications. / Okabe, Yutaka; Tomita, Yusuke; Yamaguchi, Chiaki.

In: Physica A: Statistical Mechanics and its Applications, Vol. 321, No. 1-2, 01.04.2003, p. 340-350.

Research output: Contribution to journalArticle

Okabe, Yutaka ; Tomita, Yusuke ; Yamaguchi, Chiaki. / Novel Monte Carlo algorithms and their applications. In: Physica A: Statistical Mechanics and its Applications. 2003 ; Vol. 321, No. 1-2. pp. 340-350.
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