DIFFUSIVE BEHAVIOR OF ASYMMETRIC ZERO-RANGE PROCESSES

Citation
O. Benois et al., DIFFUSIVE BEHAVIOR OF ASYMMETRIC ZERO-RANGE PROCESSES, Journal of statistical physics, 87(3-4), 1997, pp. 577-591
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
87
Issue
3-4
Year of publication
1997
Pages
577 - 591
Database
ISI
SICI code
0022-4715(1997)87:3-4<577:DBOAZP>2.0.ZU;2-R
Abstract
We investigate a new interpretation for the Navier-Stokes corrections to the hydrodynamic equation of asymmetric interacting particle system s. We consider a system that starts from a measure associated with a p rofile that is constant along the drift direction. We show that under diffusive scaling the macroscopic behavior of the process is described by a nonlinear parabolic equation whose diffusion coefficient coincid es with the diffusion coefficient of the hydrodynamic equation of the symmetric version of the process.