2010
DOI: 10.1209/0295-5075/89/10004
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Nonextensive quantum H-theorem

Abstract: A proof of the quantum H-theorem taking into account nonextensive effects on the quantum entropy S Q q is shown. The positiveness of the time variation of S Q q combined with a duality transformation implies that the nonextensive parameter q lies in the interval [0,2]. It is also shown that the equilibrium states are described by quantum q-power law extensions of the Fermi-Dirac and Bose-Einstein distributions. Such results reduce to the standard ones in the extensive limit, thereby showing that the nonextensi… Show more

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Cited by 31 publications
(50 citation statements)
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“…Furthermore, as far as the non-extensive quantum statistical mechanics is concerned, the generalized Bose-Einstein distribution for bosons and Fermi-Dirac distribution for fermions (referred to as q-BED and q-FDD hereafter) have been used [8][9][10][11][12][13][14][15]. However, in literature there is a confusion…”
Section: Introductionmentioning
confidence: 99%
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“…Furthermore, as far as the non-extensive quantum statistical mechanics is concerned, the generalized Bose-Einstein distribution for bosons and Fermi-Dirac distribution for fermions (referred to as q-BED and q-FDD hereafter) have been used [8][9][10][11][12][13][14][15]. However, in literature there is a confusion…”
Section: Introductionmentioning
confidence: 99%
“…In the work of [8][9][10][11][12][13], the particle distribution functions in the non-extensive quantum statistics are shown as:…”
Section: Introductionmentioning
confidence: 99%
“…Even the nonrelativistic distribution is also obtained as a limiting case of expression (31). Physically, it is also very compelling that the heart of the H-theorem, that is, the fact that the entropy source is non-negative, as required by the second law of thermodynamics, constrains the nonextensive q-parameter on the same interval [0, 2] irrespective of the physical regime [6][7][8].…”
mentioning
confidence: 99%
“…In principle, the Boltzmann "Stossahlansatz", as well as the own measure of entropy will be modified [6][7][8]. The new hypothesis combined with changes in the entropy flux and collisional term, encode all the statistical properties of the nonextensive microscopic description of a dilute quantum gas.…”
mentioning
confidence: 99%
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