Absorbing phase transitions of branching-annihilating random walks.

@article{Kockelkoren2003AbsorbingPT,
  title={Absorbing phase transitions of branching-annihilating random walks.},
  author={Julien Kockelkoren and Hugues Chat{\'e}},
  journal={Physical review letters},
  year={2003},
  volume={90 12},
  pages={
          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 nontrivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.