Halo concentration and the dark matter power spectrum

Department of Physics, Jadwin Hall, Princeton University, Princeton, NJ 08544, USA
Monthly Notices of the Royal Astronomical Society (Impact Factor: 5.11). 03/2003; 340(4):1199 - 1204. DOI: 10.1046/j.1365-8711.2003.06372.x
Source: arXiv


We explore the connection between halo concentration and the dark matter power spectrum using the halo model. We fit halo model parameters to non-linear power spectra over a large range of cosmological models. We find that the non-linear evolution of the power spectrum generically prefers the concentration at non-linear mass scale to decrease with the effective slope of the linear power spectrum, in agreement with the direct analysis of the halo structure in different cosmological models. Using these analyses, we compute the predictions for the non-linear power spectrum beyond the current resolution of N-body simulations. We find that the halo model predictions are generically below the analytical non-linear models, suggesting that the latter may overestimate the amount of power on small scales.

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    ABSTRACT: In two recent papers, we developed a powerful technique to link the distribution of galaxies to that of dark matter haloes by considering halo occupation numbers as function of galaxy luminosity and type. In this paper we use these distribution functions to populate dark matter haloes in high-resolution N-body simulations of the standard LCDM cosmogony with Omega_m=0.3 and sigma_8=0.9. Stacking simulation boxes of 100 Mpc/h and 300 Mpc/h with 512^3 CDM particles each we construct Mock Galaxy Redshift Surveys out to a redshift of z=0.2. We use these mock surveys to investigate various clustering statistics. The projected correlation functions for galaxies with different luminosities and types match the observations well on scales larger than about 3 Mpc/h. On smaller scales, however, the model overpredicts the clustering power by about a factor two. Furthermore, the model predicts pairwise velocity dispersions (PVD) that are about 400 km/s too high at projected pair separations of ~1 Mpc/h. A strong velocity bias in massive haloes can reduce the predicted PVD to the observed level, but does not help to resolve the over-prediction of clustering power on small scales. Consistent results can be obtained within the standard LCDM model only when the mass-to-light ratio of clusters is almost twice the observed value. Alternatively, a LCDM model with sigma_8=0.75 can also reproduce the observational results. Comment: Replaced to match version accepted for publication in MNRAS. Numerous additions and modifications. Main conclusions remain unchanged
    Monthly Notices of the Royal Astronomical Society 03/2003; 350(4). DOI:10.1111/j.1365-2966.2004.07744.x · 5.11 Impact Factor
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