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Absorbing Phase Transitions of Branching-Annihilating Random Walks

Julien Kockelkoren·Hugues Chaté
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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 non-trivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.

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Julien Kockelkoren, Hugues Chaté. 2002-08-26. Absorbing Phase Transitions of Branching-Annihilating Random Walks. https://doi.org/10.1103/physrevlett.90.125701

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