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.
Información general
Fecha de publicación:11 de julio de 2019
Idioma del documento:Inglés
Revista:Entropy; vol. 21, no. 7
Institución de origen:Facultad de Ciencias Exactas
Otros Identificadores:pmid:33267391pmcid:PMC7515174