Critical behavior in reaction-diffusion systems exhibiting absorbing phase transition

TL;DR

This paper reviews reaction-diffusion systems with site restrictions and multi-parent creation, revealing a novel non-equilibrium criticality that challenges existing phenomenological models and is supported by simulations showing unique critical exponents.

Contribution

It introduces a new type of non-equilibrium criticality in reaction-diffusion systems with specific creation and diffusion rules, supported by simulation evidence.

Findings

Identification of a new critical exponent alpha=1/3

Observation of beta=1/2 critical exponent

Simulation results in 1D and 2D models support the new criticality

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.