Absorbing Phase Transitions of Branching-Annihilating Random Walks

26 March 2003

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 90 (12) , 125701
https://doi.org/10.1103/physrevlett.90.125701

Abstract

The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes

m A \to (m + k) A

n A \to (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.

Keywords

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