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An alternative order parameter for the 4-state Potts model

H. A. Fernandes·E. Arashiro·A. A. Caparica·J. R. Drugowich de Felicio
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Abstract

We have investigated the dynamic critical behavior of the two-dimensional 4-state Potts model using an alternative order parameter first used by Vanderzande [J. Phys. A: Math. Gen. \textbf{20}, L549 (1987)] in the study of the Z(5) model. We have estimated the global persistence exponent $θ_g$ by following the time evolution of the probability $P(t)$ that the considered order parameter does not change its sign up to time $t$. We have also obtained the critical exponents $θ$, $z$, $ν$, and $β$ using this alternative definition of the order parameter and our results are in complete agreement with available values found in literature.

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H. A. Fernandes, E. Arashiro, A. A. Caparica, J. R. Drugowich de Felicio. 2006-03-21. An alternative order parameter for the 4-state Potts model. https://doi.org/10.1016/j.physa.2006.02.007

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