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Ergodic properties of an interacting Lorentz gas

The Lorentz gas [1], considered for the first time in 1905, is one of the basic models for non- equilibrium statistical mechanics. The Lorentz gas is a dynamical system describing the behaviour of an infinite random set of point particles freely moving in R d (d > 2) among chaotically distributed fixed spherical scatterers from which the particles are reflected according to the law "The angle of incidence is equal to the angle of reflection". This note is devoted to the study of a dynamical system differing from the Lorentz gas by a more complex interaction between the particles and the scatterers.