Kaniadakis statistics and the quantum H-theorem

Detalhes bibliográficos
Autor(a) principal: Anselmo, Dory Hélio Aires de Lima
Data de Publicação: 2011
Outros Autores: Santos, A. P., Silva Junior, Raimundo, Alcaniz, J. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29141
Resumo: 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
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spelling Anselmo, Dory Hélio Aires de LimaSantos, A. P.Silva Junior, RaimundoAlcaniz, J. S.2020-06-04T01:28:20Z2020-06-04T01:28:20Z2011-01-17SANTOS, A.P.; SILVA, R.; ALCANIZ, J.S.; ANSELMO, D.H.A.L.. Kaniadakis statistics and the quantum H-theorem. Physics Letters A, [s.l.], v. 375, n. 3, p. 352-355, jan. 2011. Disponível em: https://www.sciencedirect.com/science/article/pii/S037596011001515X?via%3DihubV. Acesso em: 03 jun 2020. http://dx.doi.org/10.1016/j.physleta.2010.11.045.0375-9601https://repositorio.ufrn.br/jspui/handle/123456789/2914110.1016/j.physleta.2010.11.045ElsevierAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessStatistical mechanicsFermionBosonH-theoremKaniadakis statistics and the quantum H-theoreminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleA 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 distributionsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/29141/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52ORIGINALKaniadakisStatistics_Anselmo_2011.pdfKaniadakisStatistics_Anselmo_2011.pdfapplication/pdf131424https://repositorio.ufrn.br/bitstream/123456789/29141/4/KaniadakisStatistics_Anselmo_2011.pdf83277fb5f4379de114f13ae8433c99d3MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29141/5/license.txte9597aa2854d128fd968be5edc8a28d9MD55TEXTKaniadakisStatistics_Anselmo_2011.pdf.txtKaniadakisStatistics_Anselmo_2011.pdf.txtExtracted texttext/plain19000https://repositorio.ufrn.br/bitstream/123456789/29141/6/KaniadakisStatistics_Anselmo_2011.pdf.txtcaf5611ed8820317acfbcd9c7461ab79MD56THUMBNAILKaniadakisStatistics_Anselmo_2011.pdf.jpgKaniadakisStatistics_Anselmo_2011.pdf.jpgGenerated Thumbnailimage/jpeg1702https://repositorio.ufrn.br/bitstream/123456789/29141/7/KaniadakisStatistics_Anselmo_2011.pdf.jpg105db62eded5f0c714426b9b8d53e382MD57123456789/291412020-06-07 04:36:14.795oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-06-07T07:36:14Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Kaniadakis statistics and the quantum H-theorem
title Kaniadakis statistics and the quantum H-theorem
spellingShingle Kaniadakis statistics and the quantum H-theorem
Anselmo, Dory Hélio Aires de Lima
Statistical mechanics
Fermion
Boson
H-theorem
title_short Kaniadakis statistics and the quantum H-theorem
title_full Kaniadakis statistics and the quantum H-theorem
title_fullStr Kaniadakis statistics and the quantum H-theorem
title_full_unstemmed Kaniadakis statistics and the quantum H-theorem
title_sort Kaniadakis statistics and the quantum H-theorem
author Anselmo, Dory Hélio Aires de Lima
author_facet Anselmo, Dory Hélio Aires de Lima
Santos, A. P.
Silva Junior, Raimundo
Alcaniz, J. S.
author_role author
author2 Santos, A. P.
Silva Junior, Raimundo
Alcaniz, J. S.
author2_role author
author
author
dc.contributor.author.fl_str_mv Anselmo, Dory Hélio Aires de Lima
Santos, A. P.
Silva Junior, Raimundo
Alcaniz, J. S.
dc.subject.por.fl_str_mv Statistical mechanics
Fermion
Boson
H-theorem
topic Statistical mechanics
Fermion
Boson
H-theorem
description 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
publishDate 2011
dc.date.issued.fl_str_mv 2011-01-17
dc.date.accessioned.fl_str_mv 2020-06-04T01:28:20Z
dc.date.available.fl_str_mv 2020-06-04T01:28:20Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.citation.fl_str_mv SANTOS, A.P.; SILVA, R.; ALCANIZ, J.S.; ANSELMO, D.H.A.L.. Kaniadakis statistics and the quantum H-theorem. Physics Letters A, [s.l.], v. 375, n. 3, p. 352-355, jan. 2011. Disponível em: https://www.sciencedirect.com/science/article/pii/S037596011001515X?via%3DihubV. Acesso em: 03 jun 2020. http://dx.doi.org/10.1016/j.physleta.2010.11.045.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/jspui/handle/123456789/29141
dc.identifier.issn.none.fl_str_mv 0375-9601
dc.identifier.doi.none.fl_str_mv 10.1016/j.physleta.2010.11.045
identifier_str_mv SANTOS, A.P.; SILVA, R.; ALCANIZ, J.S.; ANSELMO, D.H.A.L.. Kaniadakis statistics and the quantum H-theorem. Physics Letters A, [s.l.], v. 375, n. 3, p. 352-355, jan. 2011. Disponível em: https://www.sciencedirect.com/science/article/pii/S037596011001515X?via%3DihubV. Acesso em: 03 jun 2020. http://dx.doi.org/10.1016/j.physleta.2010.11.045.
0375-9601
10.1016/j.physleta.2010.11.045
url https://repositorio.ufrn.br/jspui/handle/123456789/29141
dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv Attribution 3.0 Brazil
http://creativecommons.org/licenses/by/3.0/br/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 3.0 Brazil
http://creativecommons.org/licenses/by/3.0/br/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
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