The distribution function of dark matter in cluster-size haloes

Mathematics – Logic

Scientific paper

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Dark Matter

Scientific paper

We analyze the distribution function (DF) of dark matter in massive haloes formed in cosmological simulations of a concordance ΛCDM model. We show that the DF inferred from the simulation data can be expressed in separable form in terms of energy and angular momentum. Taking advantage of such a property we provide a new phenomenological model of a fully anisotropic DF consistent with the universal NFW density profile. The model depends explicitly on three free parameters which specify the innermost and outermost anisotropy of a system and the scale of transition between them. It accurately recovers the profiles of velocity moments (dispersion and kurtosis) and phase space density ρ(r)/σ 3 (r), as measured in the simulations.

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