Special Session 9: Stochastic Analysis and Large Scale Interacting Systems

Hydrodynamic limit in a `Sinai`-type random environment

Sunder Sethuraman
University of Arizona
USA
Co-Author(s):    C. Landim, C.G. Pacheco, J. Xue
Abstract:
We consider a zero-range system of interacting random walks moving in a one dimensional `Sinai`-type random environment. We show a hydrodynamic limit for the space time evolution of the mass in the system. Interestingly, the limit equation includes a random transport term arising from the random environment.