Abstract
We consider the relaxation to equilibrium of a spatially uniform Maxwellian gas. We expand the solution of the nonlinear Boltzmann equation in a truncated series of orthogonal functions. We integrate numerically the equation for non-isotropic initial conditions. For certain simple conditions we find interesting proximity effects and other transient relaxation phenomena at thermal energies. Furthermore, we define a resummation of the orthogonal expansion which is more convenient than the original one for the numerical analysis of the relaxation process.
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Barrachina, R.O., Garibotti, C.R. Nonisotropic solutions of the Boltzmann equation. J Stat Phys 45, 541–560 (1986). https://doi.org/10.1007/BF01021085
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DOI: https://doi.org/10.1007/BF01021085