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

Roberto da Silva·Ronald Dickman·J. R. Drugowich de Felicio
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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 $m(t)=< ρ^{2}(t)> /< ρ(t)> ^{2}$ starting with all sites occupied. The methods provide reliable estimates for $z$ using the short time dynamics of the process. Estimates of $ν_{||}$ are obtained using a method suggested by Grassberger.

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Roberto da Silva, Ronald Dickman, J. R. Drugowich de Felicio. 2004-04-02. Revisiting the critical behavior of nonequilibrium models in Short-time Monte Carlo Simulations. https://doi.org/10.1103/physreve.70.067701

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