A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation

Autores
Pennini, Flavia; Plastino, Ángel Luis; Rocca, Mario Carlos; Ferri, Gustavo Luis
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It is common lore that the canonical gravitational partition function Z associated with the classical Boltzmann-Gibbs (BG) exponential distribution cannot be built up because of mathematical pitfalls. The integral needed for writing up Z diverges. We review here how to avoid this pitfall and obtain a (classical) statistical mechanics of Newton's gravitation. This is done using (1) the analytical extension treatment obtained of Gradshteyn and Rizhik and (2) the well known dimensional regularization technique.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Boltzmann-Gibbs distribution
Dimensional regularization
Divergences
Specific heat
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/123409
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/123409
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling A Review of the Classical Canonical Ensemble Treatment of Newton’s GravitationPennini, FlaviaPlastino, Ángel LuisRocca, Mario CarlosFerri, Gustavo LuisCiencias ExactasBoltzmann-Gibbs distributionDimensional regularizationDivergencesSpecific heatIt is common lore that the canonical gravitational partition function Z associated with the classical Boltzmann-Gibbs (BG) exponential distribution cannot be built up because of mathematical pitfalls. The integral needed for writing up Z diverges. We review here how to avoid this pitfall and obtain a (classical) statistical mechanics of Newton's gravitation. This is done using (1) the analytical extension treatment obtained of Gradshteyn and Rizhik and (2) the well known dimensional regularization technique.Facultad de Ciencias Exactas2019-07-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/123409enginfo:eu-repo/semantics/altIdentifier/issn/1099-4300info:eu-repo/semantics/altIdentifier/pmid/33267391info:eu-repo/semantics/altIdentifier/doi/10.3390/e21070677info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:29:24Zoai:sedici.unlp.edu.ar:10915/123409Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:29:24.722SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
title A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
spellingShingle A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
Pennini, Flavia
Ciencias Exactas
Boltzmann-Gibbs distribution
Dimensional regularization
Divergences
Specific heat
title_short A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
title_full A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
title_fullStr A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
title_full_unstemmed A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
title_sort A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
dc.creator.none.fl_str_mv Pennini, Flavia
Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo Luis
author Pennini, Flavia
author_facet Pennini, Flavia
Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo Luis
author_role author
author2 Plastino, Ángel Luis
Rocca, Mario Carlos
Ferri, Gustavo Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Boltzmann-Gibbs distribution
Dimensional regularization
Divergences
Specific heat
topic Ciencias Exactas
Boltzmann-Gibbs distribution
Dimensional regularization
Divergences
Specific heat
dc.description.none.fl_txt_mv It is common lore that the canonical gravitational partition function Z associated with the classical Boltzmann-Gibbs (BG) exponential distribution cannot be built up because of mathematical pitfalls. The integral needed for writing up Z diverges. We review here how to avoid this pitfall and obtain a (classical) statistical mechanics of Newton's gravitation. This is done using (1) the analytical extension treatment obtained of Gradshteyn and Rizhik and (2) the well known dimensional regularization technique.
Facultad de Ciencias Exactas
description It is common lore that the canonical gravitational partition function Z associated with the classical Boltzmann-Gibbs (BG) exponential distribution cannot be built up because of mathematical pitfalls. The integral needed for writing up Z diverges. We review here how to avoid this pitfall and obtain a (classical) statistical mechanics of Newton's gravitation. This is done using (1) the analytical extension treatment obtained of Gradshteyn and Rizhik and (2) the well known dimensional regularization technique.
publishDate 2019
dc.date.none.fl_str_mv 2019-07-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/123409
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dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1099-4300
info:eu-repo/semantics/altIdentifier/pmid/33267391
info:eu-repo/semantics/altIdentifier/doi/10.3390/e21070677
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
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Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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