The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space

Autores
Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner's, P -, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P -distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.
Fil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina. Universidad Católica del Norte. Departamento de Física; Chile. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Mathematical construction
Phase space
Quasi-probabilities
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/50031
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling The Thermal Statistics of Quasi-Probabilities' Analogs in Phase SpacePennini, Flavia CatalinaPlastino, Ángel LuisRocca, Mario CarlosMathematical constructionPhase spaceQuasi-probabilitieshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner's, P -, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P -distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.Fil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina. Universidad Católica del Norte. Departamento de Física; Chile. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaHindawi Publishing Corporation2015-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50031Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space; Hindawi Publishing Corporation; Advances in Mathematical Physics; 2015; 9-2015; 1-8; 1456841687-91201687-9139CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.4465info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/amp/2015/145684/info:eu-repo/semantics/altIdentifier/doi/10.1155/2015/145684info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:58:13Zoai:ri.conicet.gov.ar:11336/50031instacron: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:34982025-10-15 14:58:14.236CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
title The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
spellingShingle The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
Pennini, Flavia Catalina
Mathematical construction
Phase space
Quasi-probabilities
title_short The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
title_full The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
title_fullStr The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
title_full_unstemmed The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
title_sort The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space
dc.creator.none.fl_str_mv Pennini, Flavia Catalina
Plastino, Ángel Luis
Rocca, Mario Carlos
author Pennini, Flavia Catalina
author_facet Pennini, Flavia Catalina
Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Plastino, Ángel Luis
Rocca, Mario Carlos
author2_role author
author
dc.subject.none.fl_str_mv Mathematical construction
Phase space
Quasi-probabilities
topic Mathematical construction
Phase space
Quasi-probabilities
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner's, P -, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P -distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.
Fil: Pennini, Flavia Catalina. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina. Universidad Católica del Norte. Departamento de Física; Chile. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Plastino, Ángel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We focus attention upon the thermal statistics of the classical analogs of quasi-probabilities (QP) in phase space for the important case of quadratic Hamiltonians. We consider the three more important OPs: Wigner's, P -, and Husimi's. We show that, for all of them, the ensuing semiclassical entropy is a function only of the fluctuation product ΔxΔp. We ascertain that the semiclassical analog of P -distribution seems to become unphysical at very low temperatures. The behavior of several other information quantifiers reconfirms such an assertion in manifold ways. We also examine the behavior of the statistical complexity and of thermal quantities like the specific heat.
publishDate 2015
dc.date.none.fl_str_mv 2015-09
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/11336/50031
Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space; Hindawi Publishing Corporation; Advances in Mathematical Physics; 2015; 9-2015; 1-8; 145684
1687-9120
1687-9139
CONICET Digital
CONICET
url http://hdl.handle.net/11336/50031
identifier_str_mv Pennini, Flavia Catalina; Plastino, Ángel Luis; Rocca, Mario Carlos; The Thermal Statistics of Quasi-Probabilities' Analogs in Phase Space; Hindawi Publishing Corporation; Advances in Mathematical Physics; 2015; 9-2015; 1-8; 145684
1687-9120
1687-9139
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1409.4465
info:eu-repo/semantics/altIdentifier/url/https://www.hindawi.com/journals/amp/2015/145684/
info:eu-repo/semantics/altIdentifier/doi/10.1155/2015/145684
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
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
_version_ 1846083122109612032
score 13.22299

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