| Issue |
A&A
Volume 421, Number 2, July II 2004
|
|
|---|---|---|
| Page(s) | 425 - 432 | |
| Section | Cosmology (including clusters of galaxies) | |
| DOI | https://doi.org/10.1051/0004-6361:20034433 | |
| Published online | 22 June 2004 | |
Non-Markov excursion set model of dark matter halo abundances*
1
Moscow Institute of Physics and Technology, Institutski 9, 141700 Dolgoprudni, Russia
2
Max-Planck-Institut für extraterrestrische Physik, Giessenbachstraße, 85741 Garching, Germany e-mail: peters@mpe.mpg.de
Corresponding author: G. Amosov, amosov@fizteh.ru
Received:
2
October
2003
Accepted:
11
February
2004
The excursion set model provides a convenient theoretical
framework to derive dark matter halo abundances. This paper
generalizes the model by introducing a more realistic merging and
collapse process. A new parameter regulates the influence of the
environment and thus the coherence (non-Markovianity) of the merging
and the collapse of individual mass shells. The model mass function
also includes the effects of an ellipsoidal collapse. Analytic
approximations of the halo mass function are derived for
scale-invariant power spectra with the slopes 
. The 
mass function can be compared with the results obtained from the
“Hubble volume” simulations. A significant detection of non-Markovian
effects is found for an assumed accuracy of the simulated mass
function of 10%.
Key words: galaxies: clusters: general / cosmology: theory / cosmology: dark matter
© ESO, 2004
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