Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-02-28
Astronomy and Astrophysics
Astrophysics
AASTeX, 9 pages, uses aas2pp4.sty. Accepted for publication in ApJ
Scientific paper
10.1086/304301
The statistical mechanical investigation of Violent Relaxation of phase space elements of different densities first derived by Lynden-Bell (1967) is re-examined. It is found that the mass independence of the equations of motion of Violent Relaxation calls for a constraint on the volume of the phase space elements used to formulate the statistical mechanical description of Violent Relaxation. In agreement with observations of astrophysical objects believed to have been subject to Violent Relaxation (e.g. clusters of galaxies), the coarse grained phase space distribution $\bar{f}$ of the final state in the non-degenerate limit turns into a superposition of Maxwellians of a common velocity dispersion. Thus, the velocity dispersion problem present in the investigation of Lynden-Bell (1967) is removed.
Böhringer Hans
Kull A.
Treumann Rudolf A.
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