Information theory, approximate time dependent solutions of Boltzmann's equation and Tsallis' entropy

Abstract The Jaynes information theoretic philosophy, as applied by Levine, Balian, and others, to the quantal time evolution problem, is here adopted in order to propose an approximate scheme for tackling the Vlasov equation within the framework of the generalized statistical mechanics recently advanced by Tsallis. Our approach is able to reproduce exact solutions for time dependent models in galactic dynamics.

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