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arxiv: cond-mat/0101030 · v2 · submitted 2001-01-03 · ❄️ cond-mat

Nonextensive Thermostatistics and the H-Theorem

J. A. S. Lima (UFRN-Brazil) , R. Silva (UFRN- Brazil) , A. R. Plastino (La Plata-Argentina) This is my paper
classification ❄️ cond-mat
keywords nonextensivetsallisequationthermostatisticstransportanalysisapproachboltzmann
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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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