Hydrodynamic limit of a disordered lattice gas

Details Hydrodynamic limit of a disordered lattice gas Hydrodynamic limit of a disordered lattice gas

2003-02-11

arxiv.org/abs/math/0302123v1

Mathematics

Probability

Scientific paper

We consider a model of lattice gas dynamics in the d-dimensional cubic lattice 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.

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