arXiv:cond-mat/0208497 · Physical Review Letters

Absorbing Phase Transitions of Branching-Annihilating Random Walks

Julien Kockelkoren, Hugues Chaté

Published Mar 26, 2003• 80 citations

Abstract

The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA-->(m+k)A, nA-->(n-l)A are studied systematically in one space dimension within a new family of models. Four universality classes of nontrivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.

DOI: 10.1103/physrevlett.90.125701

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