On the dynamic universality class of the 4-state Potts model

Details On the dynamic universality class of the 4-state Potts model On the dynamic universality class of the 4-state Potts model

2006-03-16

arxiv.org/abs/cond-mat/0603436v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We investigate the short-time critical dynamics of the 4-state Potts (FSP) model, Baxter-Wu (BW) model and Ising model with three-spin interactions (IMTSI) in one direction, that belong to the same universality class at equilibrium. The scaling behavior of the global persistence probability $P(t)$ is studied in order to estimate the global persistence exponent $\theta_g$ of the models. We also calculate the exponent $x_0$, that represents the anomalous dimension of the initial. Although the exponents $\theta_g$ and $x_0$ for the FSP model are in complete agreement with the results of the IMTSI model, they are completely different of that for the BW model, showing that the BW model does not belong to the same dynamic universality class of the FSP model.

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