Dr. A. Nota. Lecture ' From microscopic dynamics to macroscopic equations: The Lorentz Gas'

In this lecture I will give a survey of some recent results concerning the rigorous derivation of
macroscopic evolution equations starting from the microscopic model given by the random Lorentz
Gas which is a system of non interacting particles in a random distribution of scatterers. In
particular, we will focus on the characterization of stationary non-equilibrium states exhibiting
transport phenomena by validating the Fick’s law of diffusion in a situation of low density.
Moreover, we will present some recent progress on the rigorous derivation of linear kinetic
equations with an external magnetic field.