Nonextensive quantum H-theorem

Detalhes bibliográficos
Autor(a) principal: Anselmo, Dory Hélio Aires de Lima
Data de Publicação: 2010
Outros Autores: Silva, R., Alcaniz, J. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29117
Resumo: 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
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spelling Anselmo, Dory Hélio Aires de LimaSilva, R.Alcaniz, J. S.2020-06-02T20:19:55Z2020-06-02T20:19:55Z2010-01-18SILVA, R.; ANSELMO, D. H. A. L.; ALCANIZ, J. S.. Nonextensive quantum H-theorem. Epl (europhysics Letters), [s.l.], v. 89, n. 1, p. 10004, 1 jan. 2010. Disponível em: http://iopscience.iop.org/article/10.1209/0295-5075/89/10004/meta. Acesso em: 02 Jun 2020. http://dx.doi.org/10.1209/0295-5075/89/10004.1286-4854https://repositorio.ufrn.br/jspui/handle/123456789/2911710.1209/0295-5075/89/10004IOP PublishingQuantum statisticalMeasurement theoryNonextensive quantum H-theoreminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleA 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 theoryengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29117/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/29117/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52TEXTNonextensiveQuantumH-theorem_2010.pdf.txtNonextensiveQuantumH-theorem_2010.pdf.txtExtracted texttext/plain19932https://repositorio.ufrn.br/bitstream/123456789/29117/4/NonextensiveQuantumH-theorem_2010.pdf.txt8c9234e4c05b74aa34d91981c4e700d4MD54THUMBNAILNonextensiveQuantumH-theorem_2010.pdf.jpgNonextensiveQuantumH-theorem_2010.pdf.jpgGenerated Thumbnailimage/jpeg1196https://repositorio.ufrn.br/bitstream/123456789/29117/5/NonextensiveQuantumH-theorem_2010.pdf.jpg70c9313e228c6ae9f5fe1bc855d1352eMD55123456789/291172022-10-19 17:41:00.238oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-19T20:41Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Nonextensive quantum H-theorem
title Nonextensive quantum H-theorem
spellingShingle Nonextensive quantum H-theorem
Anselmo, Dory Hélio Aires de Lima
Quantum statistical
Measurement theory
title_short Nonextensive quantum H-theorem
title_full Nonextensive quantum H-theorem
title_fullStr Nonextensive quantum H-theorem
title_full_unstemmed Nonextensive quantum H-theorem
title_sort Nonextensive quantum H-theorem
author Anselmo, Dory Hélio Aires de Lima
author_facet Anselmo, Dory Hélio Aires de Lima
Silva, R.
Alcaniz, J. S.
author_role author
author2 Silva, R.
Alcaniz, J. S.
author2_role author
author
dc.contributor.author.fl_str_mv Anselmo, Dory Hélio Aires de Lima
Silva, R.
Alcaniz, J. S.
dc.subject.por.fl_str_mv Quantum statistical
Measurement theory
topic Quantum statistical
Measurement theory
description 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
publishDate 2010
dc.date.issued.fl_str_mv 2010-01-18
dc.date.accessioned.fl_str_mv 2020-06-02T20:19:55Z
dc.date.available.fl_str_mv 2020-06-02T20:19:55Z
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 SILVA, R.; ANSELMO, D. H. A. L.; ALCANIZ, J. S.. Nonextensive quantum H-theorem. Epl (europhysics Letters), [s.l.], v. 89, n. 1, p. 10004, 1 jan. 2010. Disponível em: http://iopscience.iop.org/article/10.1209/0295-5075/89/10004/meta. Acesso em: 02 Jun 2020. http://dx.doi.org/10.1209/0295-5075/89/10004.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/jspui/handle/123456789/29117
dc.identifier.issn.none.fl_str_mv 1286-4854
dc.identifier.doi.none.fl_str_mv 10.1209/0295-5075/89/10004
identifier_str_mv SILVA, R.; ANSELMO, D. H. A. L.; ALCANIZ, J. S.. Nonextensive quantum H-theorem. Epl (europhysics Letters), [s.l.], v. 89, n. 1, p. 10004, 1 jan. 2010. Disponível em: http://iopscience.iop.org/article/10.1209/0295-5075/89/10004/meta. Acesso em: 02 Jun 2020. http://dx.doi.org/10.1209/0295-5075/89/10004.
1286-4854
10.1209/0295-5075/89/10004
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dc.language.iso.fl_str_mv eng
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv IOP Publishing
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