On the classical energy equipartition theorem

Autores
Lima, J. A. S.; Plastino, Ángel Ricardo
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A general proof of the energy equipartition theorem is given. Our derivation holds for any distribution function depending on the phase space variables only through the Hamiltonian of the system. This approach generalizes the standard theorem in two main directions. On the one hand, it considers the contribution to the total mean energy of homogeneous functions having a more general type than the ones usually discussed in the literature. On the other hand, our proof does not rely on the assumption of a Boltzmann-Gibbs exponential distribution.
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/83094

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spelling On the classical energy equipartition theoremLima, J. A. S.Plastino, Ángel RicardoCiencias Astronómicasenergy equipartition theoremBoltzmann-Gibbs exponential distributiontotal mean energyA general proof of the energy equipartition theorem is given. Our derivation holds for any distribution function depending on the phase space variables only through the Hamiltonian of the system. This approach generalizes the standard theorem in two main directions. On the one hand, it considers the contribution to the total mean energy of homogeneous functions having a more general type than the ones usually discussed in the literature. On the other hand, our proof does not rely on the assumption of a Boltzmann-Gibbs exponential distribution.Facultad de Ciencias Astronómicas y Geofísicas2000info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf176-180http://sedici.unlp.edu.ar/handle/10915/83094enginfo:eu-repo/semantics/altIdentifier/issn/0103-9733info:eu-repo/semantics/altIdentifier/doi/10.1590/S0103-97332000000100019info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:15:51Zoai:sedici.unlp.edu.ar:10915/83094Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:51.715SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the classical energy equipartition theorem
title On the classical energy equipartition theorem
spellingShingle On the classical energy equipartition theorem
Lima, J. A. S.
Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
title_short On the classical energy equipartition theorem
title_full On the classical energy equipartition theorem
title_fullStr On the classical energy equipartition theorem
title_full_unstemmed On the classical energy equipartition theorem
title_sort On the classical energy equipartition theorem
dc.creator.none.fl_str_mv Lima, J. A. S.
Plastino, Ángel Ricardo
author Lima, J. A. S.
author_facet Lima, J. A. S.
Plastino, Ángel Ricardo
author_role author
author2 Plastino, Ángel Ricardo
author2_role author
dc.subject.none.fl_str_mv Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
topic Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
dc.description.none.fl_txt_mv A general proof of the energy equipartition theorem is given. Our derivation holds for any distribution function depending on the phase space variables only through the Hamiltonian of the system. This approach generalizes the standard theorem in two main directions. On the one hand, it considers the contribution to the total mean energy of homogeneous functions having a more general type than the ones usually discussed in the literature. On the other hand, our proof does not rely on the assumption of a Boltzmann-Gibbs exponential distribution.
Facultad de Ciencias Astronómicas y Geofísicas
description A general proof of the energy equipartition theorem is given. Our derivation holds for any distribution function depending on the phase space variables only through the Hamiltonian of the system. This approach generalizes the standard theorem in two main directions. On the one hand, it considers the contribution to the total mean energy of homogeneous functions having a more general type than the ones usually discussed in the literature. On the other hand, our proof does not rely on the assumption of a Boltzmann-Gibbs exponential distribution.
publishDate 2000
dc.date.none.fl_str_mv 2000
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info:eu-repo/semantics/publishedVersion
Articulo
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info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/83094
url http://sedici.unlp.edu.ar/handle/10915/83094
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0103-9733
info:eu-repo/semantics/altIdentifier/doi/10.1590/S0103-97332000000100019
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
176-180
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
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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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