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

Abstract

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.

10 pages, 6 figures