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

Kevin Kuoch, Mustapha Mourragui and Ellen Saada

Stochastic Processes and their Applications, 2017, vol. 127, issue 1, 135-178

Abstract: We consider a two species process which evolves in a finite or infinite domain in contact with particle reservoirs at different densities, according to the superposition of a generalized 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: Generalized contact process; Two species process; Hydrodynamic limit; Specific entropy; Stationary nonequilibrium states; Reservoirs; Infinite volume; Current (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spa.2016.06.004

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