A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume
Probability
2016-11-04 v2
Abstract
We consider a two species process which evolves in a finite or infinite domain in contact with particles reservoirs at different densities, according to the superposition of a generalised contact process and a rapid-stirring dynamics in the bulk of the domain, and a creation/annihilation mechanism at its boundaries. For this process, we study the law of large numbers for densities and current. The limiting equations are given by a system of non-linear reaction-diffusion equations with Dirichlet boundary conditions.
Keywords
Cite
@article{arxiv.1510.00505,
title = {A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume},
author = {Kevin Kuoch and Mustapha Mourragui and Ellen Saada},
journal= {arXiv preprint arXiv:1510.00505},
year = {2016}
}
Comments
36 pages; soumis