Hydrodynamic limit for two-species exclusion processes

Makiko Sasada

doi:10.1016/j.spa.2010.01.002

Hydrodynamic limit for two-species exclusion processes

Makiko Sasada

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	494-521
Number of pages	28
Journal	Stochastic Processes and their Applications
Volume	120
Issue number	4
DOIs	https://doi.org/10.1016/j.spa.2010.01.002
Publication status	Published - 2010 Apr
Externally published	Yes

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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10.1016/j.spa.2010.01.002

Cite this

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AB - 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.

KW - Hydrodynamic limit

KW - Interacting particle systems

KW - Two-species exclusion processes

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DO - 10.1016/j.spa.2010.01.002

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VL - 120

SP - 494

EP - 521

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 4

ER -

Hydrodynamic limit for two-species exclusion processes

Abstract

Keywords

ASJC Scopus subject areas

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