The explicit time-dependence of moments of the distribution function for the Lorentz gas with planar symmetry in k-space (Q1118781)

The Fourier transform of the one-particle distribution function for the rarefied, isotropic, three-dimensional Lorentz gas is studied. Assuming that the Fourier transform of the initial distribution function depends on the wave vector k, the modulus of the velocity v and the cosinus of the angle between them, the Fourier-Laplace transform of the distribution function is expanded into a series in Legendre polynomials. The explicit time dependence of these coefficients is studied.