Abstract
The nonlinear Boltzmann equation is solved to examine the Maxwellization of a spatially uniform hard-sphere gas using the Laguerre moment method. The computations are carried out for two different classes of initial conditions. Emphasis is layed on the characteristic times for the relaxation of the distribution function toward the equilibrium. As a result, in the thermal energy range the relaxation takes place within few mean collision times, regardless of the initial state. Depending on whether the high-energy tail is initially overpopulated or underpopulated the relaxation time in this part of the spectrum is a function of the molecular velocity via 1/v or log v, respectively. The solutions are compared with those of the linearized Boltzmann equation.
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