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
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.