Absorbing Phase Transitions of Branching-Annihilating Random Walks

TL;DR

This paper systematically studies phase transitions to absorbing states in one-dimensional branching-annihilating processes, identifying four universality classes and providing the first evidence of universal scaling laws for pair and triplet reactions.

Contribution

It introduces a new family of models and uncovers four universality classes of critical behavior in branching-annihilating reaction-diffusion processes.

Findings

Four universality classes of critical behavior identified

First evidence of universal scaling laws for pair and triplet processes

Systematic analysis of phase transitions in one-dimensional models

Abstract

The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA --> (m+k)A, nA --> (n-l)A are studied systematically in one space dimension within a new family of models. Four universality classes of non-trivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.