Shock in a Branching-Coalescing Model with Reflecting Boundaries

Abstract

A one-dimensional branching-coalescing model is considered on a chain of length L with reflecting boundaries. We study the phase transitions of this model in a canonical ensemble by using the Yang-Lee description of the non-equilibrium phase transitions. Numerical study of the canonical partition function zeros reveals two second-order phase transitions in the system. Both transition points are determined by the density of the particles on the chain. In some regions the density profile of the particles has a shock structure.

Contents modified and new references added, to appear in Physics Letters A

References in corpus (3)

• The Lee-Yang theory of equilibrium and nonequilibrium phase transitions
• Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
• First Order Phase Transition in a Reaction-Diffusion Model With Open Boundary: The Yang-Lee Theory Approach

Cited by in corpus (3)

• Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
• Numerical Study of Phase Transition in an Exclusion Model with Parallel Dynamics
• Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation