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Duality in nonextensive statistical mechanics

Duality in nonextensive statistical mechanics
Duality in nonextensive statistical mechanics
We revisit recent derivations of kinetic equations based on Tsallis' entropy concept. The method of kinetic functions is introduced as a standard tool for extensions of classical kinetic equations in the framework of Tsallis' statistical mechanics. Our analysis of the Boltzmann equation demonstrates a remarkable relation between thermodynamics and kinetics caused by the deformation of macroscopic observables
1063-651X
36128
Karlin, I.V
c1a8b79d-9a0f-4be4-9582-509083fa4ca7
Grmela, M.
0ed0aa45-b7a7-4c27-a722-50697c5aeddd
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V
c1a8b79d-9a0f-4be4-9582-509083fa4ca7
Grmela, M.
0ed0aa45-b7a7-4c27-a722-50697c5aeddd
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5

Karlin, I.V, Grmela, M. and Gorban, A.N. (2002) Duality in nonextensive statistical mechanics. Physical Review E, 65 (3), 36128. (doi:10.1103/PhysRevE.65.036128).

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Abstract

We revisit recent derivations of kinetic equations based on Tsallis' entropy concept. The method of kinetic functions is introduced as a standard tool for extensions of classical kinetic equations in the framework of Tsallis' statistical mechanics. Our analysis of the Boltzmann equation demonstrates a remarkable relation between thermodynamics and kinetics caused by the deformation of macroscopic observables

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Published date: March 2002

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Local EPrints ID: 49182
URI: http://eprints.soton.ac.uk/id/eprint/49182
ISSN: 1063-651X
PURE UUID: 435ee97e-27cb-47a1-96e2-9300083b1b87

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Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 09:53

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Contributors

Author: I.V Karlin
Author: M. Grmela
Author: A.N. Gorban

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