Hydrodynamic limit for two-species exclusion processes

Makiko Sasada

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider two-species exclusion processes on the d-dimensional discrete torus taking the effects of exchange, creation and annihilation into account. The model is, in general, of nongradient type. We prove that the (charged) particle density converges to the solution of a certain nonlinear diffusion equation under a diffusive rescaling in space and time. We also prove a lower bound on the spectral gap for the generator of the process confined in a finite volume.

Original languageEnglish
Pages (from-to)494-521
Number of pages28
JournalStochastic Processes and their Applications
Volume120
Issue number4
DOIs
Publication statusPublished - 2010 Apr 1

Keywords

  • Hydrodynamic limit
  • Interacting particle systems
  • Two-species exclusion processes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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