On the classical energy equipartition theorem

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Lima, J. A. S., Plastino, Ángel Ricardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2000
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83094
Aporte de:
id I19-R120-10915-83094
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
spellingShingle Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
Lima, J. A. S.
Plastino, Ángel Ricardo
On the classical energy equipartition theorem
topic_facet Ciencias Astronómicas
energy equipartition theorem
Boltzmann-Gibbs exponential distribution
total mean energy
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.
format Articulo
Articulo
author Lima, J. A. S.
Plastino, Ángel Ricardo
author_facet Lima, J. A. S.
Plastino, Ángel Ricardo
author_sort Lima, J. A. S.
title On the classical energy equipartition theorem
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
publishDate 2000
url http://sedici.unlp.edu.ar/handle/10915/83094
work_keys_str_mv AT limajas ontheclassicalenergyequipartitiontheorem
AT plastinoangelricardo ontheclassicalenergyequipartitiontheorem
bdutipo_str Repositorios
_version_ 1764820488287158277