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Phys. Rev. E 64, 036125 (2001) [7 pages]

Possible physical meaning of the Tsallis entropy parameter

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L. S. F. Olavo
Universidade de Brasilia–UnB, Instituto de Fisica, 70919-970, Caixa Postal 04455 Brasilia, Distrito Federal, Brazil

Received 9 February 2001; published 30 August 2001

Since the proposal of the Tsallis generalized entropy, the general explanation of the role played by the parameter q that defines which specific entropy to pick among a whole family, remained somewhat partial and tentative, although some particular examples were taken into account specifically. The purpose of the present paper is to present a rigorous formal derivation of a mathematical expression giving the parameter q in terms of the momentum fluctuations of a stochastic process, thus furnishing at least one of its possible physical origins.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.036125
DOI:
10.1103/PhysRevE.64.036125
PACS:
05.30.-d, 05.40.-a