HYDRODYNAMIC LIMIT FOR ASYMMETRIC MEAN ZERO EXCLUSION PROCESSES WITH SPEED CHANGE

Authors
Citation
K. Komoriya, HYDRODYNAMIC LIMIT FOR ASYMMETRIC MEAN ZERO EXCLUSION PROCESSES WITH SPEED CHANGE, Annales de l'I.H.P. Probabilites et statistiques, 34(6), 1998, pp. 767-797
Citations number
13
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
02460203
Volume
34
Issue
6
Year of publication
1998
Pages
767 - 797
Database
ISI
SICI code
0246-0203(1998)34:6<767:HLFAMZ>2.0.ZU;2-1
Abstract
We consider the hydrodynamic behavior of asymmetric mean zero exclusio n processes with speed change. The model discussed in this paper is of non-gradient type and so is its associated symmetric process. We deri ve a nonlinear diffusion equation for the macroscopic density field ob tained in the diffusive scaling limit by estimating the relative entro py with respect to the local equilibrium state of second order approxi mation. The estimation of the asymmetric part is carried out by using the strong sector condition, The diffusion coefficient is bigger than that of the associated symmetric process in the sense of matrix, (C) E lsevier, Paris.