Nonextensive thermostatistics and the H theorem

Autores
Lima, J.A.; Silva, R.; Plastino, Ángel Ricardo
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Using the Boltzmann's transport equation method, the kinetic foundations of Tsallis' nonextensive thermostatistics were investigated. The analysis follows from a nonextensive generalization of the 'molecular chaos hypothesis.' For q > 0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.
Fil: Lima, J.A.. Universidade Federal do Rio Grande do Norte; Brasil
Fil: Silva, R.. Universidade Federal do Rio Grande do Norte; Brasil
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Universitat de les Illes Balears; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Materia
H-Theorem
Boltzmann Equation
Non-additive Entropic Measures
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/100358
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Nonextensive thermostatistics and the H theoremLima, J.A.Silva, R.Plastino, Ángel RicardoH-TheoremBoltzmann EquationNon-additive Entropic Measureshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Using the Boltzmann's transport equation method, the kinetic foundations of Tsallis' nonextensive thermostatistics were investigated. The analysis follows from a nonextensive generalization of the 'molecular chaos hypothesis.' For q > 0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.Fil: Lima, J.A.. Universidade Federal do Rio Grande do Norte; BrasilFil: Silva, R.. Universidade Federal do Rio Grande do Norte; BrasilFil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Universitat de les Illes Balears; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaAmerican Physical Society2001-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/100358Lima, J.A.; Silva, R.; Plastino, Ángel Ricardo; Nonextensive thermostatistics and the H theorem; American Physical Society; Physical Review Letters; 86; 14; 4-2001; 2938-29410031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.86.2938info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.86.2938info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:40:55Zoai:ri.conicet.gov.ar:11336/100358instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:40:56.04CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Nonextensive thermostatistics and the H theorem
title Nonextensive thermostatistics and the H theorem
spellingShingle Nonextensive thermostatistics and the H theorem
Lima, J.A.
H-Theorem
Boltzmann Equation
Non-additive Entropic Measures
title_short Nonextensive thermostatistics and the H theorem
title_full Nonextensive thermostatistics and the H theorem
title_fullStr Nonextensive thermostatistics and the H theorem
title_full_unstemmed Nonextensive thermostatistics and the H theorem
title_sort Nonextensive thermostatistics and the H theorem
dc.creator.none.fl_str_mv Lima, J.A.
Silva, R.
Plastino, Ángel Ricardo
author Lima, J.A.
author_facet Lima, J.A.
Silva, R.
Plastino, Ángel Ricardo
author_role author
author2 Silva, R.
Plastino, Ángel Ricardo
author2_role author
author
dc.subject.none.fl_str_mv H-Theorem
Boltzmann Equation
Non-additive Entropic Measures
topic H-Theorem
Boltzmann Equation
Non-additive Entropic Measures
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Using the Boltzmann's transport equation method, the kinetic foundations of Tsallis' nonextensive thermostatistics were investigated. The analysis follows from a nonextensive generalization of the 'molecular chaos hypothesis.' For q > 0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.
Fil: Lima, J.A.. Universidade Federal do Rio Grande do Norte; Brasil
Fil: Silva, R.. Universidade Federal do Rio Grande do Norte; Brasil
Fil: Plastino, Ángel Ricardo. Universidad Nacional de La Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina. Universitat de les Illes Balears; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
description Using the Boltzmann's transport equation method, the kinetic foundations of Tsallis' nonextensive thermostatistics were investigated. The analysis follows from a nonextensive generalization of the 'molecular chaos hypothesis.' For q > 0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.
publishDate 2001
dc.date.none.fl_str_mv 2001-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/100358
Lima, J.A.; Silva, R.; Plastino, Ángel Ricardo; Nonextensive thermostatistics and the H theorem; American Physical Society; Physical Review Letters; 86; 14; 4-2001; 2938-2941
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/100358
identifier_str_mv Lima, J.A.; Silva, R.; Plastino, Ángel Ricardo; Nonextensive thermostatistics and the H theorem; American Physical Society; Physical Review Letters; 86; 14; 4-2001; 2938-2941
0031-9007
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.86.2938
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.86.2938
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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