On the thermodynamical limit of self-gravitating systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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

Scientific paper

10.1016/j.nuclphysb.2003.07.005

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.

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