Double Distribution of Dark Matter Halos with respect to Mass and Local Overdensity

Details Double Distribution of Dark Matter Halos with respect to Mass and Local Overdensity Double Distribution of Dark Matter Halos with respect to Mass and Local Overdensity

2004-10-13

arxiv.org/abs/astro-ph/0410338v1

Phys.Rev. D71 (2005) 043510

Astronomy and Astrophysics

Astrophysics

25 pages, 10 figures, comments welcome

Scientific paper

10.1103/PhysRevD.71.043510

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 overdensities and underdensities in Einstein-deSitter and flat LCDM universes, according to the spherical evolution model. We explicitly distinguish between true and linearly extrapolated overdensities and provide conversion relations between the two quantities.

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