2018/01/31 by Matteo Leo, C. M. Baugh, Carlton M. Baugh +2
Mathematics · Physics and Astronomy · #Astrophysics #Computational physics #Computer science #Cosmology #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark energy #Dark matter #Dark matter halo #Filter (signal processing) #Function (biology) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Halo #Halo effect #Halo mass function #Mathematics #Matter power spectrum #Physics #Range (aeronautics) #Space (punctuation) #Spectral density #Statistical physics #Statistics #Truncation (statistics) #astro-ph.CO
paper · pdf · doi:10.1088/1475-7516/2018/04/010
published as JCAP04(2018)010 · 16 pages, 7 figures, LaTeX. Minor changes, one reference added. Matches the version published on JCAP
openalex created_date 2018/01/26 · arxiv created 2018/04/03 · openalex publication_date 2018/04/03 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
We propose a new filter, a smooth- k space filter, to use in the Press-Schechter approach to model the dark matter halo mass function which overcomes shortcomings of other filters. We test this against the mass function measured in N-body simulations. We find that the commonly used sharp- k filter fails to reproduce the behaviour of the halo mass function at low masses measured from simulations of models with a sharp truncation in the linear power spectrum. We show that the predictions with our new filter agree with the simulation results over a wider range of halo masses for both damped and undamped power spectra than is the case with the sharp- k and real-space top-hat filters.