On the Periodic Lorentz Gas and the Lorentz Kinetic Equation

Details On the Periodic Lorentz Gas and the Lorentz Kinetic Equation On the Periodic Lorentz Gas and the Lorentz Kinetic Equation

2007-03-27

arxiv.org/abs/math/0703812v1

Mathematics

Analysis of PDEs

Scientific paper

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 has been
proved by Gallavotti [Phys. Rev. (2) 185 (1969), p. 308].

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