A. Faggionato
Hydrodynamic limit of a disordered system (Ph.D. Thesis)
(811K, Postscript .gz)

ABSTRACT.  We study the motion of free electrons in a doped crystal by means 
of a lattice gas whose particles interact only by mutual exclusion 
and perform random walks on Z^d with jump rates depending locally 
on a disorder field given by i.i.d. bounded variables. 
We prove the almost sure existence of the hydrodynamic limit in 
dimensions d>2. The limit equation is a non linear diffusion equation 
whose diffusion matrix does not depend on the realization of the 
disorder field and admits a variational characterization.