Exact hard-sphere moments of the nonlinear collision integral for anisotropic distributions show the relaxation-time approximation relaxes roughly twice as fast as true binary collisions, and a two-moment closure resolves the hierarchy-closure ambiguity.
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Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics
Exact hard-sphere moments of the nonlinear collision integral for anisotropic distributions show the relaxation-time approximation relaxes roughly twice as fast as true binary collisions, and a two-moment closure resolves the hierarchy-closure ambiguity.