Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature

Detalhes bibliográficos
Autor(a) principal: Souza, André Maurício Conceição de
Data de Publicação: 1995
Outros Autores: Tsallis, Constantino, Levy, Silvio V. F., Maynard, Roger
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFS
Texto Completo: http://link.aps.org/doi/10.1103/PhysRevLett.75.3589
https://ri.ufs.br/handle/riufs/478
Resumo: We show that the use of the recently proposed thermostatistics based on the generalized entropic form Sq≡k(1-Σipiq)/(q-1) (where q∈R, with q=1 corresponding to the Boltzmann-Gibbs-Shannon entropy -kΣipi ln pi), together with the Lévy-Gnedenko generalization of the central limit theorem, provide a basic step towards the understanding of why Lévy distributions are ubiquitous in nature. A consistent experimental verification is proposed.
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spelling Souza, André Maurício Conceição deTsallis, ConstantinoLevy, Silvio V. F.Maynard, Roger2013-04-19T00:08:05Z2013-04-19T00:08:05Z1995-11SOUZA, A. M. C. et al. Statistical-Mechanical foundation of the ubiquity Of levy distributiosin nature. Physical Review Letters, v. 75, n. 20, nov. 1995. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevLett.75.3589>. Acesso em: 18 abr. 2013.1079-7114http://link.aps.org/doi/10.1103/PhysRevLett.75.3589https://ri.ufs.br/handle/riufs/478© 1995 The American Physical SocietyWe show that the use of the recently proposed thermostatistics based on the generalized entropic form Sq≡k(1-Σipiq)/(q-1) (where q∈R, with q=1 corresponding to the Boltzmann-Gibbs-Shannon entropy -kΣipi ln pi), together with the Lévy-Gnedenko generalization of the central limit theorem, provide a basic step towards the understanding of why Lévy distributions are ubiquitous in nature. A consistent experimental verification is proposed.American Physical SocietyEntropia de Boltzmann-Gibbs-ShannonTermodinâmicaStatistical-Mechanical foundation of the ubiquity of lévy distributions in natureinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleengreponame:Repositório Institucional da UFSinstname:Universidade Federal de Sergipe (UFS)instacron:UFSinfo:eu-repo/semantics/openAccessTHUMBNAILStatistical-MechanicalFoundation.pdf.jpgStatistical-MechanicalFoundation.pdf.jpgGenerated Thumbnailimage/jpeg979https://ri.ufs.br/jspui/bitstream/riufs/478/4/Statistical-MechanicalFoundation.pdf.jpgbc177e95802689fad4ac7de54e0c6e27MD54ORIGINALStatistical-MechanicalFoundation.pdfStatistical-MechanicalFoundation.pdfapplication/pdf253081https://ri.ufs.br/jspui/bitstream/riufs/478/1/Statistical-MechanicalFoundation.pdfe659a69fae794da30b203387eb5ecb82MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://ri.ufs.br/jspui/bitstream/riufs/478/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52TEXTStatistical-MechanicalFoundation.pdf.txtStatistical-MechanicalFoundation.pdf.txtExtracted texttext/plain17078https://ri.ufs.br/jspui/bitstream/riufs/478/3/Statistical-MechanicalFoundation.pdf.txtb18f79ff0348f5eb3ad92481b39b56e6MD53riufs/4782013-04-19 02:00:07.772oai:ufs.br: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Repositório InstitucionalPUBhttps://ri.ufs.br/oai/requestrepositorio@academico.ufs.bropendoar:2013-04-19T05:00:07Repositório Institucional da UFS - Universidade Federal de Sergipe (UFS)false
dc.title.pt_BR.fl_str_mv Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
title Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
spellingShingle Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
Souza, André Maurício Conceição de
Entropia de Boltzmann-Gibbs-Shannon
Termodinâmica
title_short Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
title_full Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
title_fullStr Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
title_full_unstemmed Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
title_sort Statistical-Mechanical foundation of the ubiquity of lévy distributions in nature
author Souza, André Maurício Conceição de
author_facet Souza, André Maurício Conceição de
Tsallis, Constantino
Levy, Silvio V. F.
Maynard, Roger
author_role author
author2 Tsallis, Constantino
Levy, Silvio V. F.
Maynard, Roger
author2_role author
author
author
dc.contributor.author.fl_str_mv Souza, André Maurício Conceição de
Tsallis, Constantino
Levy, Silvio V. F.
Maynard, Roger
dc.subject.por.fl_str_mv Entropia de Boltzmann-Gibbs-Shannon
Termodinâmica
topic Entropia de Boltzmann-Gibbs-Shannon
Termodinâmica
description We show that the use of the recently proposed thermostatistics based on the generalized entropic form Sq≡k(1-Σipiq)/(q-1) (where q∈R, with q=1 corresponding to the Boltzmann-Gibbs-Shannon entropy -kΣipi ln pi), together with the Lévy-Gnedenko generalization of the central limit theorem, provide a basic step towards the understanding of why Lévy distributions are ubiquitous in nature. A consistent experimental verification is proposed.
publishDate 1995
dc.date.issued.fl_str_mv 1995-11
dc.date.accessioned.fl_str_mv 2013-04-19T00:08:05Z
dc.date.available.fl_str_mv 2013-04-19T00:08:05Z
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 SOUZA, A. M. C. et al. Statistical-Mechanical foundation of the ubiquity Of levy distributiosin nature. Physical Review Letters, v. 75, n. 20, nov. 1995. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevLett.75.3589>. Acesso em: 18 abr. 2013.
dc.identifier.uri.fl_str_mv http://link.aps.org/doi/10.1103/PhysRevLett.75.3589
https://ri.ufs.br/handle/riufs/478
dc.identifier.issn.none.fl_str_mv 1079-7114
dc.identifier.license.pt_BR.fl_str_mv © 1995 The American Physical Society
identifier_str_mv SOUZA, A. M. C. et al. Statistical-Mechanical foundation of the ubiquity Of levy distributiosin nature. Physical Review Letters, v. 75, n. 20, nov. 1995. Disponível em: <http://link.aps.org/doi/10.1103/PhysRevLett.75.3589>. Acesso em: 18 abr. 2013.
1079-7114
© 1995 The American Physical Society
url http://link.aps.org/doi/10.1103/PhysRevLett.75.3589
https://ri.ufs.br/handle/riufs/478
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language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFS
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