Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996mnras.281.1124s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 281, p. 1124
Astronomy and Astrophysics
Astronomy
5
Galaxies: Clusters: General, Galaxies: Evolution, Galaxies: Formation, Cosmology: Theory, Dark Matter
Scientific paper
The Press-Schechter approach is used to provide an approximate description of the counts in cells distribution in the non-linear regime. Simple, illustrative models for the spatial distribution and internal structure of Press-Schechter clumps are assumed. Then, these distributions of non-linear Press-Schechter clumps are smoothed with a large-scale filter. The resulting evolved, smoothed distributions of counts in (large) cells are compared with the predictions of linear and quasi-linear theory. The agreement between these Press-Schechter models and the quasi-linear analyses increases as the initial power on large scales decreases. These simple models are also used to compute estimates of the skewness in the highly non-linear regime. The non-linear, Press-Schechter values of the skewness and higher order moments are scale-dependent, and are in good agreement with the values measured, in the non-linear regime, in N- body simulations. For initial power spectra of current interest, the quasi-linear value of the skewness is always within a factor of two or three of the non-linear values in these models.
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