Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 135-178 |
| Number of pages | 44 |
| Journal | Stochastic processes and their applications |
| Volume | 127 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan-2017 |
Keywords
- Generalized contact process
- Two species process
- Hydrodynamic limit
- Specific entropy
- Stationary nonequilibrium states
- Reservoirs
- Infinite volume
- Current
- REACTION DIFFUSION-EQUATIONS
- LANDAU LATTICE MODEL
- LARGE DEVIATIONS
- EXCLUSION PROCESSES
- LARGE NUMBERS
- SYSTEMS
- LIMIT
- LAW
- ATTRACTIVENESS
- FLUCTUATIONS
Fingerprint
Dive into the research topics of 'A boundary driven generalized contact process with exchange of particles: Hydrodynamics in infinite volume'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver