Microcanonical mean-field thermodynamics of self-gravitating and rotating systems
Statistical Mechanics
2009-11-07 v3 Astrophysics
Pattern Formation and Solitons
Nuclear Theory
Abstract
We derive the global phase diagram of a self-gravitating -body system enclosed in a finite three-dimensional spherical volume as a function of total energy and angular momentum, employing a microcanonical mean-field approach. At low angular momenta (i.e. for slowly rotating systems) the known collapse from a gas cloud to a single dense cluster is recovered. At high angular momenta, instead, rotational symmetry can be spontaneously broken and rotationally asymmetric structures (double clusters) appear.
Keywords
Cite
@article{arxiv.cond-mat/0202140,
title = {Microcanonical mean-field thermodynamics of self-gravitating and rotating systems},
author = {E. V. Votyakov and H. I. Hidmi and A. De Martino and D. H. E. Gross},
journal= {arXiv preprint arXiv:cond-mat/0202140},
year = {2009}
}
Comments
4 pages, 4 figures; to appear in Phys. Rev. Lett