Models of dark matter halos based on statistical mechanics: I. The classical King model - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Physical Review D Année : 2015

Models of dark matter halos based on statistical mechanics: I. The classical King model

Résumé

We consider the possibility that dark matter halos are described by the Fermi-Dirac distribution at finite temperature. This is the case if dark matter is a self-gravitating quantum gas made of massive neutrinos at statistical equilibrium. This is also the case if dark matter can be treated as a self-gravitating collisionless gas experiencing Lynden-Bell's type of violent relaxation. In order to avoid the infinite mass problem and carry out a rigorous stability analysis, we consider the fermionic King model. In this paper, we study the non-degenerate limit leading to the classical King model. This model was initially introduced to describe globular clusters. We propose to apply it also to large dark matter halos where quantum effects are negligible. We determine the caloric curve and study the thermodynamical stability of the different configurations. Equilibrium states exist only above a critical energy $E_c$ in the microcanonical ensemble and only above a critical temperature $T_c$ in the canonical ensemble. For $E

Dates et versions

hal-01094150 , version 1 (11-12-2014)

Identifiants

Citer

Pierre-Henri Chavanis, Mohammed Lemou, Florian Méhats. Models of dark matter halos based on statistical mechanics: I. The classical King model. Physical Review D, 2015, 91 (6), pp.30. ⟨10.1103/PhysRevD.91.063531⟩. ⟨hal-01094150⟩
237 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More