Thermodynamics of rotating self-gravitating systems |
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Authors: | EV Votyakov A De Martino DHE Gross |
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Institution: | (1) Hahn-Meitner-Institut, Bereich Theoretische Physik, Glienickerstr. 100, 14109 Berlin, Germany, DE |
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Abstract: | We investigate the statistical equilibrium properties of a system of classical particles interacting via Newtonian gravity, enclosed in a three-dimensional spherical volume. Within a mean-field approximation, we derive an equation
for the density profiles maximizing the microcanonical entropy and solve it numerically. At low angular momenta, i.e. for a slowly rotating system, the well-known gravitational collapse “transition” is recovered. At higher angular momenta,
instead, rotational symmetry can spontaneously break down giving rise to more complex equilibrium configurations, such as
double-clusters (“double stars”). We analyze the thermodynamics of the system and the stability of the different equilibrium
configurations against rotational symmetry breaking, and provide the global phase diagram.
Received 8 July 2002 Published online 15 October 2002
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ID="a"e-mail: demartino@hmi.de |
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Keywords: | PACS 05 20 -y Classical statistical mechanics – 04 40 -b Self-gravitating systems – 64 60 Cn Order-disorder transformations statistical mechanics of model systems |
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