Critical behavior in reaction-diffusion systems exhibiting absorbing phase transition
Abstract
Phase transitions of reaction-diffusion systems with site occupation restriction and with particle creation that requires n>1 parents and where explicit diffusion of single particles (A) exists are reviewed. Arguments based on mean-field approximation and simulations are given which support novel kind of non-equilibrium criticality. These are in contradiction with the implications of a suggested phenomenological, multiplicative noise Langevin equation approach and with some of recent numerical analysis. Simulation results for the one and two dimensional binary spreading 2A -> 4A, 4A -> 2A model display a new type of mean-field criticality characterized by alpha=1/3 and beta=1/2 critical exponents suggested in cond-mat/0210615.
Cite
@article{arxiv.cond-mat/0304023,
title = {Critical behavior in reaction-diffusion systems exhibiting absorbing phase transition},
author = {Geza Odor},
journal= {arXiv preprint arXiv:cond-mat/0304023},
year = {2015}
}
Comments
6 pages, 4 figures included, submitted to a special number of the Brazilian Journal of Physics