English

On the thermodynamical limit of self-gravitating systems

Astrophysics 2010-04-05 v2 Statistical Mechanics

Abstract

It is shown that the diluted thermodynamical limit of a self-gravitating system proposed by de Vega and Sanchez suffers from the same problems as the usual thermodynamical limit and leads to divergent thermodynamical functions. This question is also discussed from the point of view of mean field theory.

Keywords

Cite

@article{arxiv.astro-ph/0303301,
  title  = {On the thermodynamical limit of self-gravitating systems},
  author = {Victor Laliena},
  journal= {arXiv preprint arXiv:astro-ph/0303301},
  year   = {2010}
}

Comments

11 pages. A typo corrected. Cosmetic changes in some equations. Version that appear in the journal