- 03-39 A.Faggionato, F.Martinelli
- Hydrodynamic limit of a disordered lattice gas
Feb 7, 03
(auto. generated ps),
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Abstract. We consider a model of lattice gas dynamics in $Z^d$ in the presence of
disorder. If the particle interaction is only mutual exclusion and if
the disorder field is given by i.i.d. bounded random variables, we prove
the almost sure existence of the hydrodynamical limit in dimension $d>2$.
The limit equation is a non linear diffusion equation with diffusion
matrix characterized by a variational principle.