Alternatives to the Press-Schechter cosmological mass function

Statistics – Computation

Scientific paper

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Computational Astrophysics, Cosmology, Distribution Functions, Mass Distribution, Cooling, Dark Matter, Galactic Mass, Luminosity, Probability Distribution Functions, Spatial Filtering

Scientific paper

Consideration is given to the validity of the Press-Schechter (1974) formalism for the mass distribution function of bound objects which condense out of a primordial density perturbation field. Several modifications to the Press-Schechter formalism are discussed, including correctly accounting for the fate of material in underdense regions, incorporating recent results on density peaks, and using a simple model for the effects of cooling to estimate the mass function for luminous objects. As an example of the modified formalism, the mass function for galaxies is calculated, producing a qualitative explanation for the form of the galaxy luminosity function.

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