On the Periodic Lorentz Gas and the Lorentz Kinetic Equation
François Golse (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove that the Boltzmann-Grad limit of the Lorentz gas with periodic distribution of scatterers cannot be described with a linear Boltzmann equation. This is at variance with the case of a Poisson distribution of scatterers, for which the convergence to the linear Boltzmann equation was proved by Gallavotti [ , 308 (1969)]. The arguments presented here complete the analysis in [Golse-Wennberg, , 1151 (2000)], where the impossibility of a kinetic description...