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...

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Autores principales:	Pennini, Flavia, Plastino, Ángel Luis, Rocca, Mario Carlos, Ferri, Gustavo Luis
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2019
Materias:	Ciencias Exactas Boltzmann-Gibbs distribution Dimensional regularization Divergences Specific heat
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/123409
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-123409
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
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A Review of the Classical Canonical Ensemble Treatment of Newton’s Gravitation

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