Nonextensive quantum H-theorem
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
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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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 |
format |
article |
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 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29117 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
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reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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