English

Asymmetrically coupled directed percolation systems

Statistical Mechanics 2009-11-11 v1

Abstract

We introduce a dynamical model of coupled directed percolation systems with two particle species. The two species AA and BB are coupled asymmetrically in that AA particles branch BB particles whereas BB particles prey on AA particles. This model may describe epidemic spreading controlled by reactive immunization agents. We study nonequilibrium phase transitions with focused attention to the multicritical point where both species undergo the absorbing phase transition simultaneously. In one dimension, we find that the inhibitory coupling from BB to AA is irrelevant and the model belongs to the unidirectionally coupled directed percolation universality class. On the contrary, a mean field analysis predicts that the inhibitory coupling is relevant and a new universality appears with a variable dynamic exponent. Extensive numerical simulations on small-world networks confirm our predictions.

Keywords

Cite

@article{arxiv.cond-mat/0501542,
  title  = {Asymmetrically coupled directed percolation systems},
  author = {Jae Dong Noh and Hyunggyu Park},
  journal= {arXiv preprint arXiv:cond-mat/0501542},
  year   = {2009}
}

Comments

4 pages, 4 figures