03-37 A. Faggionato

Hydrodynamic limit of a disordered system (Ph.D. Thesis) (811K, Postscript .gz) Feb 6, 03

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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.

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