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An alternative order parameter for the 4-state Potts model

Authors
  • Fernandes, H. A.
  • Arashiro, E.
  • Caparica, A. A.
  • de Felicio, J. R. Drugowich
Type
Published Article
Publication Date
Mar 21, 2006
Submission Date
Sep 02, 2005
Identifiers
DOI: 10.1016/j.physa.2006.02.007
arXiv ID: cond-mat/0509066
Source
arXiv
License
Unknown
External links

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 $\theta_g$ 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 $\theta$, $z$, $\nu$, and $\beta$ 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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