On the thermodynamical limit of self-gravitating systems
arXiv:astro-ph/0303301 · doi:10.1016/j.nuclphysb.2003.07.005
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.
11 pages. A typo corrected. Cosmetic changes in some equations. Version that appear in the journal
References in corpus (4)
- Phase transitions in self-gravitating systems. Self-gravitating fermions and hard spheres models
- Statistical Mechanics of the Self-Gravitating Gas: I. Thermodynamic Limit and Phase Diagram
- Statistical Mechanics of the Self-Gravitating Gas: II. Local Physical Magnitudes and Fractal Structures
- Phase diagram of self-attracting systems
Cited by in corpus (5)
- Statistical mechanics and phase diagrams of rotating self-gravitating fermions
- Comment on ''The Cluster Expansion for the Self-Gravitating gas and the Thermodynamic Limit'', by de Vega and Sanchez (astro-ph/0307318)
- Phase structure of self-gravitating systems
- Thermodynamic relation for the systems with inhomogeneous distribution of particles
- Educing the volume out of the phase space boundary