An alternative order parameter for the 4-state Potts model

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

doi:10.1016/j.physa.2006.02.007

paper

An alternative order parameter for the 4-state Potts model

arXiv:cond-mat/0509066 · doi:10.1016/j.physa.2006.02.007

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.

6 pages, 6 figures