Absorbing Phase Transitions of Branching-Annihilating Random Walks

Details Absorbing Phase Transitions of Branching-Annihilating Random Walks Absorbing Phase Transitions of Branching-Annihilating Random Walks

2002-08-26

arxiv.org/abs/cond-mat/0208497v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.90.125701

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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