RECURSIVE SEARCH METHOD APPLIED TO A NONEQUILIBRIUM PHASE TRANSITION

P. C. da Silva, M. L. Lyra, U. L. Fulco and L. R. da Silva
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P. C. da Silva: Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970, Natal — RN, Brazil
M. L. Lyra: Departamento de Física, Universidade Federal de Alagoas, 57072-970, Maceió — AL, Brazil
U. L. Fulco: Departamento de Física, Universidade Federal do Piaui, 64049-550, Teresina — PI, Brazil
L. R. da Silva: Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970, Natal — RN, Brazil

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 02, 233-239

Abstract: In this work, we extend the recursive search method to locate the critical point and to obtain the relevant critical exponents of a nonequilibrium phase transition. In particular, the method is applied to the contact process which presents a nonequilibrium phase transition between a steady active to a single inactive absorbing state belonging to the directed percolation universality class. We present the appropriate scaling analysis which allows for precise estimates of the critical parameters with a relatively small computational effort. The proposed scheme can be directly applied to general model systems presenting nonequilibrium transitions into absorbing states including reaction–diffusion and pair contact processes.

Keywords: Nonequilibrium phase transition; contact process; recursive search; 75.70.Ak; 75.40.Mg; 75.40.Cx (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005632

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