Shock in a Branching-Coalescing Model with Reflecting Boundaries

Details Shock in a Branching-Coalescing Model with Reflecting Boundaries Shock in a Branching-Coalescing Model with Reflecting Boundaries

2003-11-10

arxiv.org/abs/cond-mat/0311205v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1016/j.physleta.2004.01.058

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.

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