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

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:127

Article

Kuoch, Kevin¹  Mourragui, Mustapha²  Saada, Ellen³ 

[1] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, POB 407, NL-9700 AK Groningen, Netherlands

[2] Univ Rouen, LMRS, UMR 6085, Ave Univ,BP 12,Technopole Madrillet, F-76801 St Etienne Du Rouvray, France

[3] Univ Paris 05, Sorbonne Paris Cite, Lab MAP5, CNRS,UMR 8145, 45 Rue St Peres, F-75270 Paris 06, France

关键词: Generalized contact process;    Two species process;    Hydrodynamic limit;    Specific entropy;    Stationary nonequilibrium states;    Reservoirs;    Infinite volume;    Current;   

DOI  :  10.1016/j.spa.2016.06.004

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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