Dr. Oleg Ruchayskiy

Concentration-mass relation

by Oleg Ruchayskiy

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Concentration to mass relation describes how a parameter of a dark matter density profile changes with the mass of the halo.
Usually the concentration parameter (denoted , , etc) implies the ratio of the halo radius ( or ) to the characteristic radius () of the Navarro-Frenk-White density distribution. Both observations (See e.g. a ScienceWISE collection of bookmarked paper here) and numerical simulations of structure formation show that the more massive halos are less concentrated.
In the Lambda CDM concentration to mass relation follows a power law trend:
where the index (see e.g. [2]). In warm or mixed (cold plus warm) dark matter models numerical simulations show that the relation between concentration and mass flattens at low mass end (even for halo masses above free streaming scale) (see e.g. [5] and [6])
The concentration-to-mass relation depends non-trivially on the redshift (see e.g. Bullock et al. [1] (2001), Maccio et al. (2008) [2]) and cosmological parameters [2, 7].
  • [1]^ J. S. Bullock, T. S. Kolatt, Y. Sigad, R. S. Somerville, A. V. Kravtsov, A. A. Klypin, J. R. Primack and A. Dekel, ``Profiles of dark haloes. Evolution, scatter, and environment,'' Mon. Not. Roy. Astron. Soc. 321 (2001) 559 [astro-ph/9908159].
  • [2]^abc A. V. Maccio', A. A. Dutton and F. C. v. d. Bosch, ``Concentration, Spin and Shape of Dark Matter Haloes as a Function of the Cosmological Model: WMAP1, WMAP3 and WMAP5 results,'' arXiv:0805.1926 [astro-ph].
  • [3] D. A. Buote, F. Gastaldello, P. J. Humphrey, L. Zappacosta, J. S. Bullock, F. Brighenti and W. G. Mathews, ``The X-Ray Concentration-Virial Mass Relation,'' Astrophys. J. 664 (2007) 123 [astro-ph/0610135].
  • [4] R. Mandelbaum, U. Seljak and C. M. Hirata, ``Halo mass - concentration relation from weak lensing,'' JCAP 0808 (2008) 006 [arXiv:0805.2552 [astro-ph]].
  • [5]^ V. R. Eke, J. F. Navarro and M. Steinmetz, ``The Power spectrum dependence of dark matter halo concentrations,'' Astrophys. J. 554 (2001) 114 [astro-ph/0012337].
  • [6]^ A. V. Maccio', O. Ruchayskiy, A. Boyarsky and J. C. Munoz-Cuartas, ``The inner structure of haloes in Cold+Warm dark matter models,'' arXiv:1202.2858 [astro-ph.CO].
  • [7]^ J. C. Munoz-Cuartas, A. V. Maccio, S. Gottlober and A. A. Dutton, ``The Redshift Evolution of LCDM Halo Parameters: Concentration, Spin, and Shape,'' arXiv:1007.0438 [astro-ph.CO].
Alternative definitions:
Ontology information:
Concentration-mass relation
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