Astronomy and Astrophysics – Astrophysics
Scientific paper
1996-06-10
Astrophys.J. 466 (1996) L1-L4
Astronomy and Astrophysics
Astrophysics
AASTeX, 16 pages, 2 EPS figures, uses aas2pp4.sty. Accepted by ApJ Letters
Scientific paper
10.1086/310159
The statistical mechanical investigation of violent relaxation (Lynden-Bell 1967) is extended to indistinguishable objects. It is found that, coincidentally, the equilibrium distribution is the same as that obtained for classical objects. For massive neutrinos, the Tremaine \& Gunn (1979) phase space bound is revisited and reinterpretated as the limit indicating the onset of degeneracy related to the coarse-grained phase space distribution. In the context of one of the currently most popular cosmological models, the Cold and Hot Dark Matter (CHDM) model (Primack et al. 1995), the onset of degeneracy may be of importance in the core region of clusters of galaxies. Degeneracy allows the neutrino HDM density to exceed the limit imposed by the Tremaine \& Gunn (1979) bound while accounting for the phase space bound.
Böhringer Hans
Kull A.
Treumann Rudolf A.
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