Abstract
A consistent derivation of the model linearized collision operator for a multicomponent system is presented. In these results an ambiguity in the choice of coefficients is eliminated, in contrast to the BGK type models. A technique for reconstruction of the model collision integral form based on a known expression for the model linearized operator is proposed. It is shown that the model collision integral in the local (not complete) equilibrium approximation does not contain a complicated exponential, that is common for the BGK type integrals. Boltzmann’s H-theorem is proved for our model.
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