Brownian Motion in an External Field Revisited

Autores
Plastino, Ángel Luis; Rocca, Mario Carlos; Monteoliva, Diana; Hernando, Alberto
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.
Instituto de Física La Plata
Materia
Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
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:10915/119316
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/119316
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Brownian Motion in an External Field RevisitedPlastino, Ángel LuisRocca, Mario CarlosMonteoliva, DianaHernando, AlbertoFísicaDivergent Partition FunctionsStatistical MechanicsFisher InformationIn many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.Instituto de Física La Plata2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf82-90http://sedici.unlp.edu.ar/handle/10915/119316enginfo:eu-repo/semantics/altIdentifier/issn/2153-120Xinfo:eu-repo/semantics/altIdentifier/issn/2153-1196info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2021.122008info: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:UNLP2025-09-29T11:28:09Zoai:sedici.unlp.edu.ar:10915/119316Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:28:09.886SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Brownian Motion in an External Field Revisited
title Brownian Motion in an External Field Revisited
spellingShingle Brownian Motion in an External Field Revisited
Plastino, Ángel Luis
Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
title_short Brownian Motion in an External Field Revisited
title_full Brownian Motion in an External Field Revisited
title_fullStr Brownian Motion in an External Field Revisited
title_full_unstemmed Brownian Motion in an External Field Revisited
title_sort Brownian Motion in an External Field Revisited
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
Monteoliva, Diana
Hernando, Alberto
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
Monteoliva, Diana
Hernando, Alberto
author_role author
author2 Rocca, Mario Carlos
Monteoliva, Diana
Hernando, Alberto
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
topic Física
Divergent Partition Functions
Statistical Mechanics
Fisher Information
dc.description.none.fl_txt_mv In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.
Instituto de Física La Plata
description In many interesting physical examples, the partition function is divergent, as first pointed out in 1924 by Fermi (for the hydrogen-atom case). Thus, the usual toolbox of statistical mechanics becomes unavailable, notwithstanding the well-known fact that the pertinent system may appear to be in a thermal steady state. We tackle and overcome these difficulties hereby appeal to firmly established but not too well-known mathematical recipes and obtain finite values for a typical divergent partition function, that of a Brownian particle in an external field. This allows not only for calculating thermodynamic observables of interest, but for also instantiating other kinds of statistical mechanics’ novelties.
publishDate 2021
dc.date.none.fl_str_mv 2021
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/10915/119316
url http://sedici.unlp.edu.ar/handle/10915/119316
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2153-120X
info:eu-repo/semantics/altIdentifier/issn/2153-1196
info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2021.122008
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
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
82-90
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
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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score 13.070432

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