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

作者：Kuoch Kevin; Mourragui Mustapha^*; Saada Ellen

来源：Stochastic Processes and Their Applications, 2017, 127(1): 135-178.

DOI：10.1016/j.spa.2016.06.004

• Generalized contact process
• Two species process
• Hydrodynamic limit
• Specific entropy
• Stationary nonequilibrium states
• Reservoirs
• Infinite volume
• Current

We consider a two species process which evolves in a finite or infinite domain hi 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.

• 出版日期2017-1