Novel Monte Carlo algorithms and their applications

Yutaka Okabe, Yusuke Tomita and Chiaki Yamaguchi

Physica A: Statistical Mechanics and its Applications, 2003, vol. 321, issue 1, 340-350

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.

Keywords: Cluster algorithm; Finite-size scaling; Correlation ratio; Broad histogram relation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:321:y:2003:i:1:p:340-350

DOI: 10.1016/S0378-4371(02)01792-2

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