Critical behavior of the two dimensional 2A->3A, 4A->0 binary system
Abstract
The phase transitions of the recently introduced 2A -> 3A, 4A -> 0 reaction-diffusion model (G.Odor, PRE 69 036112 (2004)) are explored in two dimensions. This model exhibits site occupation restriction and explicit diffusion of isolated particles. A reentrant phase diagram in the diffusion - creation rate space is confirmed in agreement with cluster mean-field and one-dimensional results. For strong diffusion a mean-field transition can be observed at zero branching rate characterized by density decay exponent. In contrast with this for weak diffusion the effective 2A ->3A->4A->0 reaction becomes relevant and the mean-field transition of the 2A -> 3A, 2A -> 0 model characterized by also appears for non-zero branching rates.
Cite
@article{arxiv.cond-mat/0403562,
title = {Critical behavior of the two dimensional 2A->3A, 4A->0 binary system},
author = {Geza Odor},
journal= {arXiv preprint arXiv:cond-mat/0403562},
year = {2009}
}
Comments
5 pages, 5 figures included, small corrections