Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial

Autores
Plastino, Ángel Luis; Rocca, Mario Carlos
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy 〈U〉 diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter q. This happens because Z and 〈U〉 both depend on a Γ-function. This Γ, in turn, depends upon the spatial dimension ν. We encounter three different regimes according to the argument A of the Γ-function. (1) A>0, (2) A<0 and Γ>0 outside the poles. (3) A displays poles and the physics is obtained via dimensional regularization. In cases (2) and (3) one discovers gravitational effects and quartets of particles. Moreover, bound states and gravitational effects emerge as a consequence of the hidden q-correlations.
Fil: A. Plastino. INSTITUTO DE FÍSICA LA PLATA - CONICET/UNLP; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. INSTITUTO DE FÍSICA LA PLATA - CONICET/UNLP; Argentina; Argentina
Materia
DIMENSIONAL REGULARIZATION
DIVERGENCES
PARTITION FUNCTION
Q-STATISTICS
SPECIFIC HEAT
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:11336/95400
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/95400
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivialPlastino, Ángel LuisRocca, Mario CarlosDIMENSIONAL REGULARIZATIONDIVERGENCESPARTITION FUNCTIONQ-STATISTICSSPECIFIC HEAThttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy 〈U〉 diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter q. This happens because Z and 〈U〉 both depend on a Γ-function. This Γ, in turn, depends upon the spatial dimension ν. We encounter three different regimes according to the argument A of the Γ-function. (1) A>0, (2) A<0 and Γ>0 outside the poles. (3) A displays poles and the physics is obtained via dimensional regularization. In cases (2) and (3) one discovers gravitational effects and quartets of particles. Moreover, bound states and gravitational effects emerge as a consequence of the hidden q-correlations.Fil: A. Plastino. INSTITUTO DE FÍSICA LA PLATA - CONICET/UNLP; ArgentinaFil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. INSTITUTO DE FÍSICA LA PLATA - CONICET/UNLP; Argentina; ArgentinaElsevier Science2018-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/95400Plastino, Ángel Luis; Rocca, Mario Carlos; Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 490; 1-2018; 50-580378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.08.003info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437117307203info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:17Zoai:ri.conicet.gov.ar:11336/95400instacron: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 09:49:17.257CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
spellingShingle Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
Plastino, Ángel Luis
DIMENSIONAL REGULARIZATION
DIVERGENCES
PARTITION FUNCTION
Q-STATISTICS
SPECIFIC HEAT
title_short Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_full Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_fullStr Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_full_unstemmed Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
title_sort Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Rocca, Mario Carlos
author2_role author
dc.subject.none.fl_str_mv DIMENSIONAL REGULARIZATION
DIVERGENCES
PARTITION FUNCTION
Q-STATISTICS
SPECIFIC HEAT
topic DIMENSIONAL REGULARIZATION
DIVERGENCES
PARTITION FUNCTION
Q-STATISTICS
SPECIFIC HEAT
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy 〈U〉 diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter q. This happens because Z and 〈U〉 both depend on a Γ-function. This Γ, in turn, depends upon the spatial dimension ν. We encounter three different regimes according to the argument A of the Γ-function. (1) A>0, (2) A<0 and Γ>0 outside the poles. (3) A displays poles and the physics is obtained via dimensional regularization. In cases (2) and (3) one discovers gravitational effects and quartets of particles. Moreover, bound states and gravitational effects emerge as a consequence of the hidden q-correlations.
Fil: A. Plastino. INSTITUTO DE FÍSICA LA PLATA - CONICET/UNLP; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. INSTITUTO DE FÍSICA LA PLATA - CONICET/UNLP; Argentina; Argentina
description It ts known that Tsallis’ q-non-additivity entails hidden correlations. It has also been shown that even for a monoatomic gas, both the q-partition function Z and the mean energy 〈U〉 diverge and, in particular, exhibit poles for certain values of the Tsallis non additivity parameter q. This happens because Z and 〈U〉 both depend on a Γ-function. This Γ, in turn, depends upon the spatial dimension ν. We encounter three different regimes according to the argument A of the Γ-function. (1) A>0, (2) A<0 and Γ>0 outside the poles. (3) A displays poles and the physics is obtained via dimensional regularization. In cases (2) and (3) one discovers gravitational effects and quartets of particles. Moreover, bound states and gravitational effects emerge as a consequence of the hidden q-correlations.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
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/11336/95400
Plastino, Ángel Luis; Rocca, Mario Carlos; Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 490; 1-2018; 50-58
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/95400
identifier_str_mv Plastino, Ángel Luis; Rocca, Mario Carlos; Hidden correlations entailed by q-non additivity render the q-monoatomic gas highly non trivial; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 490; 1-2018; 50-58
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2017.08.003
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0378437117307203
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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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