Dynamical behavior of the Niedermayer algorithm applied to Potts models

D. Girardi, T.J.P. Penna and N.S. Branco

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 15, 3849-3857

Abstract: In this work, we make a numerical study of the dynamic universality class of the Niedermayer algorithm applied to the two-dimensional Potts model with 2, 3, and 4 states. This algorithm updates clusters of spins and has a free parameter, E0, which controls the size of these clusters, such that E0=1 is the Metropolis algorithm and E0=0 regains the Wolff algorithm, for the Potts model. For −10, spins in different states may be added to the cluster but the dynamic behavior is less efficient than for the Wolff algorithm (E0=0). Therefore, our results show that the Wolff algorithm is the best choice for Potts models, when compared to the Niedermayer’s generalization.

Keywords: Numerical simulation; Cluster algorithms; Potts model; Dynamic universality class (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:15:p:3849-3857

DOI: 10.1016/j.physa.2012.03.011

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