The dynamical structure of dark matter halos with universal properties

Details The dynamical structure of dark matter halos with universal properties The dynamical structure of dark matter halos with universal properties

2008-09-04

arxiv.org/abs/0809.0901v1

Astrophys.J.690:1280-1291,2009

Astronomy and Astrophysics

Astrophysics

12 pages, 5 figures, accepted for publication in ApJ

Scientific paper

10.1088/0004-637X/690/2/1280

$N$-body simulations have unveiled several apparently universal properties of dark matter halos, including a cusped density profile, a power-law pseudo phase-space density $\rho/\sigma_r^3$, and a linear $\beta-\gamma$ relation between the density slope and the velocity anisotropy. We present a family of self-consistent phase-space distribution functions $F(E,L)$, based on the Dehnen-McLaughlin Jeans models, that incorporate these universal properties very accurately. These distribution functions, derived using a quadratic programming technique, are analytical, positive and smooth over the entire phase space and are able to generate four-parameter velocity anisotropy profiles $\beta(r)$ with arbitrary asymptotic values $\beta_0$ and $\beta_\infty$. We discuss the orbital structure of six radially anisotropic systems in detail and argue that, apart from its use for generating initial conditions for $N$-body studies, our dynamical modeling provides a valuable complementary approach to understand the processes involved in the formation of dark matter halos.

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