Journal
PHYSICAL REVIEW LETTERS
Volume 86, Issue 14, Pages 2938-2941Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.86.2938
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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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