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

E. V. Votyakov·H. I. Hidmi·A. De Martino·D. H. E. Gross
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Abstract

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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BibTeXRIS

E. V. Votyakov, H. I. Hidmi, A. De Martino, D. H. E. Gross. 2002-06-19. Microcanonical mean-field thermodynamics of self-gravitating and rotating systems. https://doi.org/10.1103/physrevlett.89.031101

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