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

2015/10/02 by Kevin Kuoch, Kuoch, Kevin, Mustapha Mourragui +3 · 1 citation
Mathematics · Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Diffusion and Search Dynamics

paper · doi:10.48550/arxiv.1510.00505

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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