Phase transition in a non-conserving driven diffusive system

TL;DR

This paper introduces a non-conserving asymmetric exclusion process with positive, negative particles, and vacancies, demonstrating an exact solution that reveals a continuous phase transition characterized by vacancy density reduction to zero.

Contribution

It provides an exact solution for a non-conserving driven diffusive system exhibiting a novel one-dimensional phase transition outside traditional universality classes.

Findings

Exact steady state solution obtained

Identifies a continuous phase transition

Vacancy density approaches zero at transition

Abstract

An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and show that it can exhibit a continuous phase transition in which the density of vacancies decreases to zero. The model has no absorbing state and furnishes an example of a one-dimensional phase transition in a homogeneous non-conserving system which does not belong to the absorbing state universality classes.