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
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/83094
Ver los metadatos del registro completo
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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:UNLP2025-10-22T16:56:42Zoai: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:13292025-10-22 16:56:42.332SEDICI (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 |
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2000 |
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http://sedici.unlp.edu.ar/handle/10915/83094 |
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eng |
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eng |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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