Gravity, Dimension, Equilibrium, & Thermodynamics
Abstract
Is it actually possible to interpret gravitation as space's property in a pure classical way. Then, we note that extended self-gravitating system equilibrium depends directly on the number of dimension of the space in which it evolves. Given those precisions, we review the principal thermodynamical knowledge in the context of classical gravity with arbitrary dimension of space. Stability analyses for bounded 3D systems, namely the Antonov instability paradigm, are then rapproched to some amazing properties of globular clusters and galaxies.
Cite
@article{arxiv.astro-ph/0603811,
title = {Gravity, Dimension, Equilibrium, & Thermodynamics},
author = {Jerome Perez},
journal= {arXiv preprint arXiv:astro-ph/0603811},
year = {2009}
}
Comments
11 pages, 3 figures, proceedings of the international workshop "Statistical Mechanics of Non-Extensive Systems" held in Paris Observator, 24-25 October 2005. to be published in a special issue of "Les Comptes rendus de l'Academie des science"