A Review of the Classical Canonical Ensemble Treatment of Newton's Gravitation.
Boltzmann-Gibbs distribution
dimensional regularization
divergences
specific heat
Journal
Entropy (Basel, Switzerland)
ISSN: 1099-4300
Titre abrégé: Entropy (Basel)
Pays: Switzerland
ID NLM: 101243874
Informations de publication
Date de publication:
11 Jul 2019
11 Jul 2019
Historique:
received:
09
05
2019
revised:
05
07
2019
accepted:
08
07
2019
entrez:
3
12
2020
pubmed:
11
7
2019
medline:
11
7
2019
Statut:
epublish
Résumé
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.
Identifiants
pubmed: 33267391
pii: e21070677
doi: 10.3390/e21070677
pmc: PMC7515174
pii:
doi:
Types de publication
Journal Article
Review
Langues
eng
Références
Phys Rev D Part Fields. 1996 May 15;53(10):5761-5764
pubmed: 10019862