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Hydrodynamic limit for two-species exclusion processes

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  • Sasada, Makiko

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.

Suggested Citation

  • Sasada, Makiko, 2010. "Hydrodynamic limit for two-species exclusion processes," Stochastic Processes and their Applications, Elsevier, vol. 120(4), pages 494-521, April.
    • Handle: RePEc:eee:spapps:v:120:y:2010:i:4:p:494-521
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