Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation

It is believed that the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e − β H Z cannot be constructed because the integral needed for building up Z includes an exponential and thus diverges at the origin. We show here that, by recourse to...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Zamora, Darío Javier, Rocca, Mario Carlos, Plastino, Ángel Luis, Ferri, Gustavo Luís
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2018
Materias:	Física Boltzmann-Gibbs distribution Divergences Dimensional regularization Specific heat
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/125563
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-125563
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Boltzmann-Gibbs distribution Divergences Dimensional regularization Specific heat
spellingShingle	Física Boltzmann-Gibbs distribution Divergences Dimensional regularization Specific heat Zamora, Darío Javier Rocca, Mario Carlos Plastino, Ángel Luis Ferri, Gustavo Luís Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation
topic_facet	Física Boltzmann-Gibbs distribution Divergences Dimensional regularization Specific heat
description	It is believed that the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e − β H Z cannot be constructed because the integral needed for building up Z includes an exponential and thus diverges at the origin. We show here that, by recourse to (1) the analytical extension treatment obtained for the first time ever, by Gradshteyn and Rizhik, via an appropriate formula for such case and (2) the dimensional regularization approach of Bollini and Giambiagi’s (DR), one can indeed obtain finite gravitational results employing the BG distribution. The BG treatment is considerably more involved than its Tsallis counterpart. The latter needs only dimensional regularization, the former requires, in addition, analytical extension.
format	Articulo Preprint
author	Zamora, Darío Javier Rocca, Mario Carlos Plastino, Ángel Luis Ferri, Gustavo Luís
author_facet	Zamora, Darío Javier Rocca, Mario Carlos Plastino, Ángel Luis Ferri, Gustavo Luís
author_sort	Zamora, Darío Javier
title	Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation
title_short	Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation
title_full	Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation
title_fullStr	Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation
title_full_unstemmed	Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation
title_sort	dimensionally regularized boltzmann–gibbs statistical mechanics and two-body newton’s gravitation
publishDate	2018
url	http://sedici.unlp.edu.ar/handle/10915/125563
work_keys_str_mv	AT zamoradariojavier dimensionallyregularizedboltzmanngibbsstatisticalmechanicsandtwobodynewtonsgravitation AT roccamariocarlos dimensionallyregularizedboltzmanngibbsstatisticalmechanicsandtwobodynewtonsgravitation AT plastinoangelluis dimensionallyregularizedboltzmanngibbsstatisticalmechanicsandtwobodynewtonsgravitation AT ferrigustavoluis dimensionallyregularizedboltzmanngibbsstatisticalmechanicsandtwobodynewtonsgravitation
bdutipo_str	Repositorios
_version_	1764820451869065216

Dimensionally regularized Boltzmann–Gibbs statistical mechanics and two-body Newton’s gravitation

Ejemplares similares