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Dynamical behavior of the Niedermayer algorithm applied to Potts models

Author

Listed:
  • Girardi, D.
  • Penna, T.J.P.
  • Branco, N.S.

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.

Suggested Citation

  • Girardi, D. & Penna, T.J.P. & Branco, N.S., 2012. "Dynamical behavior of the Niedermayer algorithm applied to Potts models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3849-3857.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:15:p:3849-3857
    DOI: 10.1016/j.physa.2012.03.011
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