Shock in a Branching-Coalescing Model with Reflecting Boundaries
Statistical Mechanics
2009-11-10 v2 Disordered Systems and Neural Networks
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.
Cite
@article{arxiv.cond-mat/0311205,
title = {Shock in a Branching-Coalescing Model with Reflecting Boundaries},
author = {Farhad H. Jafarpour},
journal= {arXiv preprint arXiv:cond-mat/0311205},
year = {2009}
}
Comments
Contents modified and new references added, to appear in Physics Letters A