The Power Spectrum Dependence of Dark Matter Halo Concentrations

Abstract

High-resolution N-body simulations are used to examine the power spectrum dependence of the concentration of galaxy-sized dark matter halos. It is found that dark halo concentrations depend on the amplitude of mass fluctuations as well as on the ratio of power between small and virial mass scales. This finding is consistent with the original results of Navarro, Frenk & White (NFW), and allows their model to be extended to include power spectra substantially different from Cold Dark Matter (CDM). In particular, the single-parameter model presented here fits the concentration dependence on halo mass for truncated power spectra, such as those expected in the warm dark matter scenario, and predicts a stronger redshift dependence for the concentration of CDM halos than proposed by NFW. The latter conclusion confirms recent suggestions by Bullock et al., although this new modeling differs from theirs in detail. These findings imply that observational limits on the concentration, such as those provided by estimates of the dark matter content within individual galaxies, may be used to constrain the amplitude of mass fluctuations on galactic and subgalactic scales. The constraints on $\Lambda$CDM models posed by the dark mass within the solar circle in the Milky Way and by the zero-point of the Tully-Fisher relation are revisited, with the result that neither dataset is clearly incompatible with the `concordance' (${\Omega }_0=0.3$, ${\Lambda }_0=0.7$, ${\sigma }_8=0.9$) $\Lambda$CDM cosmogony. This conclusion differs from that reached recently by Navarro & Steinmetz, a disagreement that can be traced to inconsistencies in the normalization of the $\Lambda$CDM power spectrum used in that work.

12 pages including 7 figures using emulateapj, submitted to ApJ

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• Supermassive Black Holes and Galaxy Formation
• On the antimatter signatures of the cosmological dark matter subhalos
• The environmental dependence of the stellar mass fundamental plane of early-type galaxies
• A halo model approach to describe clustering and emission of the two main star forming galaxy populations for Cosmic Infrared Background studies
• On the Size Evolution of a Galactic Disk in Hierarchical Merging of Cold Dark Matter Halos
• Can hidden correlations mimic a variable fine structure constant?
• Perspective of Galactic dark matter subhalo detection on Fermi from the EGRET observation
• The shapes of dark matter dominated dwarf spheroidal stellar density profiles
• Towards a universal model for the density profiles of dark matter haloes
• Universal Fitting Formulae for the Peak Concentration of Dark Matter Halos