Phase Transition in a Three-States Reaction-Diffusion System

Details Phase Transition in a Three-States Reaction-Diffusion System Phase Transition in a Three-States Reaction-Diffusion System

2007-03-08

arxiv.org/abs/cond-mat/0703198v1

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1016/j.physa.2007.04.017

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.

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