From microscopic hamiltonian dynamics to heat equation

From microscopic hamiltonian dynamics to heat equation

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Stefano Olla, Universite Paris - Dauphine
Jadwin Hall 343

One of the main problems in non-equilibrium statistical mechanics is to derive, by space-time rescaling, macroscopic irreversible diffusive evolution for the co nserved quantities of an (large) hamiltonian system. I will describe the mathematical setup of the problem, and some recent progress when the hamiltonian dynamics is perturbed by energy conserving stochastic collisions.