Probability distribution of the order parameter in the directed percolation universality class

P. H. L. Martins
Phys. Rev. E 85, 041110 – Published 10 April 2012

Abstract

The probability distributions of the order parameter for two models in the directed percolation universality class were evaluated. Monte Carlo simulations have been performed for the one-dimensional generalized contact process and the Domany-Kinzel cellular automaton. In both cases, the density of active sites was chosen as the order parameter. The criticality of those models was obtained by solely using the corresponding probability distribution function. It has been shown that the present method, which has been successfully employed in treating equilibrium systems, is indeed also useful in the study of nonequilibrium phase transitions.

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  • Received 30 December 2011

DOI:https://doi.org/10.1103/PhysRevE.85.041110

©2012 American Physical Society

Authors & Affiliations

P. H. L. Martins*

  • Instituto de Física, Universidade Federal de Mato Grosso, Av. Fernando Corrêa da Costa, 2367, Cuiabá, Mato Grosso, 78060-900, Brazil and Center for Simulational Physics, University of Georgia, Athens, Georgia, 30602, USA

  • *pmartins@fisica.ufmt.br

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Vol. 85, Iss. 4 — April 2012

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