The non-equilibrium phase transition of the pair-contact process with diffusion

TL;DR

This paper reviews the non-equilibrium phase transition in the diffusive pair-contact process, highlighting its unique critical behavior and discussing whether it constitutes a new universality class in phase transition phenomena.

Contribution

It provides a comprehensive review of recent research on the diffusive pair-contact process and discusses open questions about its critical behavior and universality class.

Findings

Exhibits a unique critical behavior not seen before in similar models

Highlights the need for further characterization of the universality class

Reviews recent research and outlines open questions in the field

Abstract

The pair-contact process 2A->3A, 2A->0 with diffusion of individual particles is a simple branching-annihilation processes which exhibits a phase transition from an active into an absorbing phase with an unusual type of critical behaviour which had not been seen before. Although the model has attracted considerable interest during the past few years it is not yet clear how its critical behaviour can be characterized and to what extent the diffusive pair-contact process represents an independent universality class. Recent research is reviewed and some standing open questions are outlined.