Novel Monte Carlo algorithms and their applications

Details Novel Monte Carlo algorithms and their applications Novel Monte Carlo algorithms and their applications

2002-11-02

arxiv.org/abs/cond-mat/0211035v1

Physica A 321, 340-350 (2003)

Physics

Condensed Matter

Statistical Mechanics

13 pages including 7 eps figures, proceedings of StatPhys-Taiwan-2002, to appear in Physica A

Scientific paper

10.1016/S0378-4371(02)01792-2

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.

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