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Hydrodynamical limit for a nongradient system: The generalized symmetric exclusion process
Author(s) -
Kipnis C.,
Landim C.,
Olla S.
Publication year - 1994
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160471104
Subject(s) - limit (mathematics) , mathematics , process (computing) , calculus (dental) , mathematical analysis , computer science , medicine , dentistry , operating system
We consider a symmetric simple exclusion process where at most two particles per site are permitted. This model turns out to be nongradient. We prove that the particles' densities, under a diffusive rescaling of space and time, converge to the solution of a diffusion equation. We give a variational characterization of the diffusion coefficent. We also prove, for the generator of the process in finite volume, a lower bound on the spectral gap uniform in the volume. © 1994 John Wiley & Sons, Inc.