Hydrodynamic limit for two-species exclusion processes

Makiko Sasada

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)494-521
ページ数28
ジャーナルStochastic Processes and their Applications
120
4
DOI
出版ステータスPublished - 2010 4

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation
  • Applied Mathematics

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