Open AccessThe Halo Mass Function Redshift Dependence
Author(s) -
Juan E. Betancort-Rijo,
Antonio D. Montero-Dorta
Publication year - 2006
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/510582
Subject(s) - physics , halo , redshift , astrophysics , halo mass function , function (biology) , dark matter , spectral density , power (physics) , cold dark matter , mass distribution , dark matter halo , spectral line , mass spectrum , halo effect , cosmology , initial mass function , power function , power law , mass to light ratio , minimum mass , probability density function , red shift , galaxy , galactic halo
It has recently been shown that the correct halo mass function high massbehaviour may be obtained by an appropriate treatment of the all-mass-at-centerproblem. Here we show that the treatment of this problem leads to anaccumulated mass fraction, F, which is not a universal function of the linearvariance of the density contrast, but depends also on the shape of the powerspectrum. For relevant power spectra F is a universal function of twoquantities: the linear variance and a quantity related to the local shape (atthe given mass scale) of the power spectrum. This implies, for a given shape ofthe power spectrum, a redshift dependence of the mass function, which is quiteimportant for a cold dark matter power spectrum. Our results are in goodagreement with numerical simulations
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