Astronomy and Astrophysics – Astronomy
Scientific paper
May 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.296..569c&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 296, Issue 3, pp. 569-578.
Astronomy and Astrophysics
Astronomy
54
Celestial Mechanics, Stellar Dynamics, Galaxies: General
Scientific paper
We study spherically symmetrical equilibrium states of collisionless stellar systems confined to a spherical box. These equilibrium states correspond to the statistics introduced by Lynden-Bell in his theory of `violent relaxation', and are described by a Fermi-Dirac distribution function. We compute the corresponding equilibrium diagram and show that a global entropy maximum exists for any accessible control parameter. This equilibrium state shows a pronounced separation between a degenerate core and a halo. We therefore check that degeneracy is able to stop the gravitational collapse (of a collisionless system), and we propose a simple model for the `core-halo' structure. We also discuss the relevance of our study for real galaxies or other astrophysical systems such as massive neutrinos.
Chavanis Pierre-Henri
Sommeria Joel
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