Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.232..623w&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 232, June 1, 1988, p. 623-646. DFG-supported research.
Physics
Condensed Matter
Statistical Mechanics
21
Elliptical Galaxies, Energy Dissipation, Galactic Evolution, Gravitational Effects, Star Formation, Thermodynamic Equilibrium, Computational Astrophysics, Statistical Mechanics, Stellar Motions
Scientific paper
This paper introduces a new aspect into the theory of relaxation of collisionless self-gravitating systems. Given an arbitrary initial distribution function the authors show by explicit construction the existence of a lowest energy state that is accessible under conservation of phase space volume. This result implies as an immediate consequence a general proof of the fact that collisionless self-gravitating systems cannot collapse into a singularity. The authors suggest that the energy difference between the initial and the lowest energy state is a measure for the energy dissipated by phase mixing. They illustrate this approach by two examples with spherical symmetry.
Schindler Karl
Wiechen Heinz
Ziegler Harald J.
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