Critical Behavior in Reaction-Diffusion Systems Exhibiting Absorbing Phase Transitions

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Abstract

Phase transitions of reaction-diffusion systems with a site occupation restriction, particle creation requiring n > 2 parents, and in which explicit diffusion of single particles (A) is possible, are reviewed. Arguments based on mean-field approximation and simulations are given which support novel kind of nonequilibrium criticality. These are in contradiction with the implications of a suggested phenomenological, multiplicative noise Langevin equation approach and with some recent numerical analyses. Simulation results for one- and two-dimensional binary spreading model, 2A → 4A, 4A → 2A, reveal a new type of mean-field criticality characterized by the critical exponents α = 1/3 and β= 1/2, as suggested in a recent preprint [cond-mat/0210615].

Original languageEnglish
Pages (from-to)431-436
Number of pages6
JournalBrazilian Journal of Physics
Volume33
Issue number3
Publication statusPublished - Sep 2003

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Critical Behavior in Reaction-Diffusion Systems Exhibiting Absorbing Phase Transitions. / Ódor, G.

In: Brazilian Journal of Physics, Vol. 33, No. 3, 09.2003, p. 431-436.

Research output: Contribution to journalArticle

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