Microcanonical mean-field thermodynamics of self-gravitating and rotating systems.
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.
Votyakov
E V
EV
Hahn-Meitner-Institut, Bereich Theoretische Physik, Glienickerstrasse 100, 14109 Berlin, Germany. votyakov@hmi.de
Hidmi
H I
HI
De Martino
A
A
Gross
D H E
DH