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

The global phase diagram of a self-gravitation N-body system, enclosed in a finite three-dimensional spherical volume V, was derived. The derivation of global phase diagram was done as a function of total energy and angular momentum, employing a microcanonical mean-field approach. The results showed that, at low angular momenta, the known collapse from a gas cloud to a single dense cluster was recovered and at high angular momenta, rotational symmetry could be spontaneously broken.