Critical dynamics of the Potts model: short-time Monte Carlo simulations

Roberto da Silva; J. R. Drugowich de Felicio

doi:10.1016/j.physleta.2004.10.042

Critical dynamics of the Potts model: short-time Monte Carlo simulations

Statistical Mechanics 2009-11-10 v1

Authors: Roberto da Silva , J. R. Drugowich de Felicio

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Abstract

We calculate the new dinamic exponent $\theta$ of the 4-state Potts model, using short-time simulations. Our estimates $\theta_{1}=-0.0471(33)$ and $% \theta_{2}=$ $-0.0429(11)$ obtained by following the behavior of the magnetization or measuring the evolution of the time correlation function of the magnetization corroborate the conjecture by Okano et. al. In addition, these values agree with previous estimate of the same dynamic exponent for the two-dimensional Ising model with three-spin interactions in one direction, that is known to belong to the same universality class as the 4-state Potts model. The anomalous dimension of initial magnetization $% x_{0}=z\theta +\beta /\nu$ is calculated by an alternative way that mixes two different initial conditions. We have also estimated the values of the static exponents $\beta$ and $\nu$ . They are in complete agreement with the pertinent results of the literature.

Keywords

Potts model critical dynamics short-time Monte Carlo simulations dynamic exponent universality class initial magnetization

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@article{arxiv.cond-mat/0404083,
  title  = {Critical dynamics of the Potts model: short-time Monte Carlo simulations},
  author = {Roberto da Silva and J. R. Drugowich de Felicio},
  journal= {arXiv preprint arXiv:cond-mat/0404083},
  year   = {2009}
}

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12 pages, 7 figures

Critical dynamics of the Potts model: short-time Monte Carlo simulations

Abstract

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