Kaniadakis statistics and the quantum H-theorem

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 equi...

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Detalles Bibliográficos
Autores: Anselmo, Dory Hélio Aires de Lima, Santos, A. P., Silva Junior, Raimundo, Alcaniz, J. S.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:Brasil
Institución:Universidade Federal do Rio Grande do Norte (UFRN)
Repositorio:Repositório Institucional da UFRN
Idioma:inglés
OAI Identifier:oai:repositorio.ufrn.br:123456789/29141
Acceso en línea:https://repositorio.ufrn.br/jspui/handle/123456789/29141
Access Level:acceso abierto
Palabra clave:Statistical mechanics
Fermion
Boson
H-theorem
Descripción
Sumario: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 distributions