Cumulants of the three state Potts model and of nonequilibrium models with C3v symmetry

Details Cumulants of the three state Potts model and of nonequilibrium models with C3v symmetry Cumulants of the three state Potts model and of nonequilibrium models with C3v symmetry

2002-05-28

arxiv.org/abs/cond-mat/0205592v1

J. Phys. A 35, 5379 (2002)

Physics

Condensed Matter

Statistical Mechanics

gzipped tar file containing: 1 latex file + 6 eps figures

Scientific paper

10.1088/0305-4470/35/26/302

The critical behavior of two-dimensional stochastic lattice gas models with C3v symmetry is analyzed. We study the cumulants of the order parameter for the three state (equilibrium) Potts model and for two irreversible models whose dynamic rules are invariant under the symmetry operations of the point group C3v. By means of extensive numerical analysis of the phase transition we show that irreversibility does not affect the critical behavior of the systems. In particular we find that the Binder reduced fourth order cumulant takes a universal value U* which is the same for the three state Potts model and for the irreversible models. The same universal behavior is observed for the reduced third-order cumulant.

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