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

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• 作者：Kevin Kuoch^a ; ^{kevin.kuoch@gmail.com} ; Mustapha Mourragui^b ; ^{mustapha.mourragui@univ-rouen.fr} ; Ellen Saada^c ; ^{Ellen.Saada@mi.parisdescartes.fr}
• 关键词：primary ; 82C22 ; secondary ; 60F10 ; 82C35
• 刊名：Stochastic Processes and their Applications
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：127
• 期：1
• 页码：135-178
• 全文大小：512 K
• 卷排序：127

文摘

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.