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Warm dark matter at small scales: Peculiar velocities and phase space density

Daniel Boyanovsky

  • Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA

  • *boyan@pitt.edu
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Phys. Rev. D 83, 103504 – Published 3 May, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.103504

Abstract

We study the scale and redshift dependence of the power spectra for density perturbations and peculiar velocities, and the evolution of a coarse grained phase space density for warm dark matter (WDM) particles that decoupled during the radiation dominated stage. The WDM corrections are obtained in a perturbative expansion valid in the range of redshifts at which N-body simulations set up initial conditions, and for a wide range of scales. The redshift dependence is determined by the kurtosis β2 of the distribution function at decoupling. At large redshift there is an enhancement of peculiar velocities for β2>1 that contributes to free streaming and leads to further suppression of the matter power spectrum and an enhancement of the peculiar velocity autocorrelation function at scales smaller than the free streaming scale. Statistical fluctuations of peculiar velocities are also suppressed on these scales by the same effect. In the linearized approximation, the coarse grained phase space density features redshift dependent WDM corrections from gravitational perturbations determined by the power spectrum of density perturbations and β2. For β2>25/21 it grows logarithmically with the scale factor as a consequence of the suppression of statistical fluctuations. Two specific models for WDM are studied in detail. The WDM corrections relax the bounds on the mass of the WDM particle candidate.

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Phys. Rev. D 83, 103504– Published 3 May, 2011
  • Received 9 November 2010
Article part of CHORUS

© 2011 American Physical Society

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