IFLP   13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
A Review on the Classical Canonical Ensemble treatment of Newton's Gravitation
Autor/es:
PLASTINO, ANGEL; PENNINI, FLAVIA; FERRI, GUSTAVO; ROCCA, MARIO
Revista:
ENTROPY
Editorial:
MOLECULAR DIVERSITY PRESERVATION INTERNATIONAL-MDPI
Referencias:
Lugar: Basel; Año: 2019 vol. 21 p. 677 - 693
ISSN:
1099-4300
Resumen:
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) theanalytical extension treatment obtained of Gradshteyn and Rizhik and (2) the well known dimensional regularization technique.