Revisiting the critical behavior of nonequilibrium models in Short-time Monte Carlo Simulations

Details Revisiting the critical behavior of nonequilibrium models in Short-time Monte Carlo Simulations Revisiting the critical behavior of nonequilibrium models in Short-time Monte Carlo Simulations

2004-04-02

arxiv.org/abs/cond-mat/0404065v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures

Scientific paper

10.1103/PhysRevE.70.067701

We analyze two alternative methods for determining the exponent $z$ of the contact process (CP) and Domany-Kinzel (DK) cellular automaton in Monte Carlo Simulations. One method employs mixed initial conditions, as proposed for magnetic models [Phys. Lett. A. \textbf{298}, 325 (2002)]; the other is based on the growth of the moment ratio $m(t)=< \rho ^{2}(t)> /< \rho (t)> ^{2}$ starting with all sites occupied. The methods provide reliable estimates for $z$ using the short time dynamics of the process. Estimates of $\nu_{||}$ are obtained using a method suggested by Grassberger.

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