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

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 $-0.0429(11)$ 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 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.

arXiv comment12 pages, 7 figures

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• A comparative study of the dynamic critical behavior of the four-state Potts like models
• Numerical exploration of the Aging effects in spin systems
• Investigating the nonequilibrium aspects of long-range Potts model: refinement of critical temperatures and raw exponents