Centro de Ciências Exatas e da Terra
URI Permanente desta comunidadehttps://repositorio.ufrn.br/handle/1/135
Navegar
Navegando Centro de Ciências Exatas e da Terra por Autor "Alcaniz, J. S."
Agora exibindo 1 - 4 de 4
- Resultados por página
- Opções de Ordenação
Artigo Generalized quantum entropies(Elsevier, 2011-07-08) Anselmo, Dory Hélio Aires de Lima; Santos, A. P.; Silva, R.; Alcaniz, J. S.A deduction of generalized quantum entropies within the Tsallis and Kaniadakis frameworks is derived using a generalization of the ordinary multinomial coefficient. This generalization is based on the respective deformed multiplication and division. We show that the two above entropies are consistent with ones arbitrarily assumed at other contextsArtigo Kaniadakis statistics and the quantum H-theorem(Elsevier, 2011-01-17) Anselmo, Dory Hélio Aires de Lima; Santos, A. P.; Silva Junior, Raimundo; Alcaniz, J. S.A proof of the quantum H-theorem in the context of Kaniadakis’ entropy concept SκQ and a generalization of stosszahlansatz are presented, showing that there exists a quantum version of the second law of thermodynamics consistent with the Kaniadakis statistics. It is also shown that the marginal equilibrium states are described by quantum κ-power law extensions of the Fermi–Dirac and Bose–Einstein distributionsArtigo Non-Gaussian effects on quantum entropies(Elsevier, 2012-03-15) Anselmo, Dory Hélio Aires de Lima; Santos, A. P.; Silva Junior, Raimundo; Alcaniz, J. S.A deduction of generalized quantum entropies within the non-Gaussian frameworks, Tsallis and Kaniadakis, is derived using a generalized combinatorial method and the socalled q and κ calculus. In agreement with previous results, we also show that for the Tsallis formulation the q-quantum entropy is well-defined for values of the nonextensive parameter q lying in the interval [0,2].Artigo Nonextensive quantum H-theorem(IOP Publishing, 2010-01-18) Anselmo, Dory Hélio Aires de Lima; Silva, R.; Alcaniz, J. S.A proof of the quantum H-theorem taking into account nonextensive effects on the quantum entropy SqQ is shown. The positiveness of the time variation of SqQ combined with a duality transformation implies that the nonextensive parameter q lies in the interval [0,2]. It is also shown that the stationary 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 nonextensive entropic framework can be harmonized with the quantum distributions contained in the quantum statistics theory