Nonextensive Thermostatistics and theTheorem
- 2 April 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 86 (14), 2938-2941
- https://doi.org/10.1103/physrevlett.86.2938
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 , the -transport equation satisfies an theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' -nonextensive velocity distribution.
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