Phase Transition in a Three-States Reaction-Diffusion System

TL;DR

This paper introduces a one-dimensional reaction-diffusion model with two particle species and vacancies, revealing a continuous phase transition characterized by changes in particle currents and densities, with exact calculations provided.

Contribution

The study presents a novel reaction-diffusion model exhibiting a continuous phase transition, with exact solutions for particle densities and currents in each phase.

Findings

Identified a continuous phase transition in the model

Derived exact expressions for particle densities and currents

Demonstrated different phases with equal and unequal particle currents

Abstract

A one-dimensional reaction-diffusion model consisting of two species of particles and vacancies on a ring is introduced. The number of particles in one species is conserved while in the other species it can fluctuate because of creation and annihilation of particles. It has been shown that the model undergoes a continuous phase transition from a phase where the currents of different species of particles are equal to another phase in which they are different. The total density of particles and also their currents in each phase are calculated exactly.