Absorbing Phase Transitions of Branching-Annihilating Random Walks
Statistical Mechanics
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0208497,
title = {Absorbing Phase Transitions of Branching-Annihilating Random Walks},
author = {Julien Kockelkoren and Hugues Chaté},
journal= {arXiv preprint arXiv:cond-mat/0208497},
year = {2009}
}
Comments
4 pages, 4 figures