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Nonextensive Thermostatistics and the H-Theorem

J. A. S. Lima·R. Silva·A. R. Plastino
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Abstract

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through Boltzmann's transport equation approach. Our analysis follows from a nonextensive generalization of the ``molecular chaos hypothesis". For $q>0$, the $q$-transport equation satisfies an $H$-theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' $q$-nonextensive velocity distribution.

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J. A. S. Lima, R. Silva, A. R. Plastino. 2002-10-03. Nonextensive Thermostatistics and the H-Theorem. https://doi.org/10.1103/physrevlett.86.2938

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