A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation
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...
Guardado en:
Autores principales: | , , , |
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Formato: | Articulo |
Lenguaje: | Inglés |
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2019
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/123409 |
Aporte de: |
id |
I19-R120-10915-123409 |
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record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas Boltzmann-Gibbs distribution Dimensional regularization Divergences Specific heat |
spellingShingle |
Ciencias Exactas Boltzmann-Gibbs distribution Dimensional regularization Divergences Specific heat Pennini, Flavia Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation |
topic_facet |
Ciencias Exactas Boltzmann-Gibbs distribution Dimensional regularization Divergences Specific heat |
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. |
format |
Articulo Articulo |
author |
Pennini, Flavia Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis |
author_facet |
Pennini, Flavia Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis |
author_sort |
Pennini, Flavia |
title |
A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation |
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 |
review of the classical canonical ensemble treatment of newton’s gravitation |
publishDate |
2019 |
url |
http://sedici.unlp.edu.ar/handle/10915/123409 |
work_keys_str_mv |
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bdutipo_str |
Repositorios |
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1764820449434271744 |