Non-linear power spectra of dark and luminous matter in halo model of structure formation

Abstract

The late stages of large-scale structure evolution are treated semi-analytically within the framework of modified halo model. We suggest simple yet accurate approximation for relating the non-linear amplitude to linear one for spherical density perturbation. For halo concentration parameter, $c$, a new computation technique is proposed, which eliminates the need of interim evaluation of the $z_{col}$. Validity of the technique is proved for $\Lambda$CDM and $\Lambda$WDM cosmologies. Also, the parameters for Sheth-Tormen mass function are estimated. The modified and extended halo model is applied for determination of non-linear power spectrum of dark matter, as well as for galaxy power spectrum estimation. The semi-analytical techniques for dark matter power spectrum are verified by comparison with data from numerical simulations. Also, the predictions for the galaxy power spectra are confronted with 'observed' data from PSCz and SDSS galaxy catalogs, good accordance is found.

18 pages, 8 figures; major changes from the previous version; accepted for publivation in Phys. Rev. D

References in corpus (6)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Concentration, Spin and Shape of Dark Matter Haloes as a Function of the Cosmological Model: WMAP1, WMAP3 and WMAP5 results
• Towards a Concordant Model of Halo Occupation Statistics
• Nonlinear Evolution of Cosmological Structures in Warm Dark Matter Models
• Satellite Galaxy Number Density Profiles in the Sloan Digital Sky Survey
• The Non-Linear Matter Power Spectrum in Warm Dark Matter Cosmologies

Cited by in corpus (6)

• The Dark Matter Haloes of Chandra X-ray Galaxy Clusters and Baryons Effect
• Dynamics of minimally coupled dark energy in spherical halos of dark matter
• Non-Gaussian Shape Discrimination with Spectroscopic Galaxy Surveys
• Evolution of density and velocity profiles of dark matter and dark energy in spherical voids
• Dynamics of dark energy in the gravitational fields of matter inhomogeneities
• Gravitational stability of dark energy in galaxies and clusters of galaxies