Double distribution of dark matter halos with respect to mass and local overdensity

Vasiliki Pavlidou, Brian D. Fields

Research output: Contribution to journalArticlepeer-review


We present a double distribution function of dark matter halos, with respect to both object mass and local over- (or under-) density. This analytical tool provides a statistical treatment of the properties of matter surrounding collapsed objects, and can be used to study environmental effects on hierarchical structure formation. The size of the "local environment" of a collapsed object is defined to depend on the mass of the object. The Press-Schechter mass function is recovered by integration of our double distribution over the density contrast. We also present a detailed treatment of the evolution of over-densities and underdensities in Ωm + ΩΛ = 1 and Ωm = 1 universes according to the spherical evolution model. We explicitly distinguish between true and linearly extrapolated overdensities and provide conversion relations between the two quantities.

Original languageEnglish (US)
Article number043510
Pages (from-to)043510-1-043510-25
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
StatePublished - Feb 2005

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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