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arXiv · 1510.00505

A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume

Kevin Kuoch·Mustapha Mourragui·Ellen Saada
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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.

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Kevin Kuoch, Mustapha Mourragui, Ellen Saada. 2016-11-03. A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume. https://arxiv.org/abs/1510.00505

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