Dynamical behavior of the Niedermayer algorithm applied to Potts models

Details Dynamical behavior of the Niedermayer algorithm applied to Potts models Dynamical behavior of the Niedermayer algorithm applied to Potts models

2012-04-19

arxiv.org/abs/1204.4353v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 11 figures, to be published in Physica A. arXiv admin note: substantial text overlap with arXiv:1003.3655

Scientific paper

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, $E_0$, which controls the size of these clusters, such that $E_0=1$ is the Metropolis algorithm and $E_0=0$ 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 ($E_0=0$). Therefore, our results show that the Wolff algorithm is the best choice for Potts models, when compared to the Niedermayer's generalization.

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