Critical behavior in reaction-diffusion systems exhibiting absorbing phase transition

摘要

Phase transitions of reaction-diffusion systems with site occupationrestriction and with particle creation that requires n>1 parents and whereexplicit diffusion of single particles (A) exists are reviewed. Arguments basedon mean-field approximation and simulations are given which support novel kindof non-equilibrium criticality. These are in contradiction with theimplications of a suggested phenomenological, multiplicative noise Langevinequation approach and with some of recent numerical analysis. Simulationresults for the one and two dimensional binary spreading 2A -> 4A, 4A -> 2Amodel display a new type of mean-field criticality characterized by alpha=1/3and beta=1/2 critical exponents suggested in cond-mat/0210615.