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The mass function of dark matter haloes

Jenkins, A.R.; Frenk, C.S.; White, S.D.M.; Colberg, J.M.; Cole, S.; Evrard, A.E.; Couchman, H.M.P.; Yoshida, N.

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S.D.M. White

J.M. Colberg

A.E. Evrard

H.M.P. Couchman

N. Yoshida


We combine data from a number of N-body simulations to predict the abundance of dark haloes in cold dark matter (CDM) universes over more than four orders of magnitude in mass. A comparison of different simulations suggests that the dominant uncertainty in our results is systematic and is smaller than 10–30 per cent at all masses, depending on the halo definition used. In particular, our 'Hubble volume' simulations of τCDM and ΛCDM cosmologies allow the abundance of massive clusters to be predicted with uncertainties well below those expected in all currently planned observational surveys. We show that for a range of CDM cosmologies and for a suitable halo definition, the simulated mass function is almost independent of epoch, of cosmological parameters and of the initial power spectrum when expressed in appropriate variables. This universality is of exactly the kind predicted by the familiar Press–Schechter model, although this model predicts a mass function shape that differs from our numerical results, overestimating the abundance of 'typical' haloes and underestimating that of massive systems.


Jenkins, A., Frenk, C., White, S., Colberg, J., Cole, S., Evrard, A., …Yoshida, N. (2001). The mass function of dark matter haloes. Monthly Notices of the Royal Astronomical Society, 321(2), 372-384.

Journal Article Type Article
Publication Date 2001-02
Deposit Date Nov 22, 2006
Publicly Available Date Aug 11, 2014
Journal Monthly Notices of the Royal Astronomical Society
Print ISSN 0035-8711
Electronic ISSN 1365-2966
Publisher Royal Astronomical Society
Peer Reviewed Peer Reviewed
Volume 321
Issue 2
Pages 372-384
Keywords Gravitation methods, Numerical, Cosmology, Theory, Dark matter.


Published Journal Article (640 Kb)

Copyright Statement
This article has been accepted for publication in Monthly notices of the Royal Astronomical Society © 2001 The Authors Published on behalf of Royal Astronomical Society. All rights reserved.

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