Cosmic mass functions from Gaussian stochastic diffusion processes

Free access article

Issue		A&A Volume 370, Number 3, May II 2001


Page(s)		715 - 728
Section		Cosmology
DOI		http://dx.doi.org/10.1051/0004-6361:20010282

A&A 370, 715-728 (2001)
DOI: 10.1051/0004-6361:20010282

Cosmic mass functions from Gaussian stochastic diffusion processes

P. Schuecker, H. Böhringer, K. Arzner and T. H. Reiprich

Max-Planck-Institut für extraterrestrische Physik, 85741 Garching, Germany

(Received 4 July 2000 / Accepted 16 February 2001)

Abstract
Gaussian stochastic diffusion processes are used to derive cosmic mass functions. To get analytic relations previous studies exploited the sharp k-space filter assumption yielding zero drift terms in the corresponding Fokker-Planck (Kolmogorov's forward) equation and thus simplifying analytic treatments significantly (excursion set formalism). In the present paper methods are described to derive for given diffusion processes and Gaussian random fields the corresponding mass and filter functions by solving the Kolmogorov's forward and backward equations including nonzero drift terms. This formalism can also be used in cases with non-sharp k-space filters and for diffusion processes exhibiting correlations between different mass scales.

Key words: clusters: general -- clusters -- cosmology: theory

Offprint request: P. Schuecker, peters@mpe.mpg.de

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