Microcanonical mean-field thermodynamics of self-gravitating and rotating systems

Details Microcanonical mean-field thermodynamics of self-gravitating and rotating systems Microcanonical mean-field thermodynamics of self-gravitating and rotating systems

2002-02-08

arxiv.org/abs/cond-mat/0202140v3

Phys.Rev.Lett. 89 (2002) 031101

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures; to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.89.031101

We derive the global phase diagram of a self-gravitating $N$-body system enclosed in a finite three-dimensional spherical volume $V$ 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.

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