Analytic Approach to the Cloud-in-cloud Problem for Non-gaussian Density Fluctuations
نویسندگان
چکیده
We revisit the cloud-in-cloud problem for non-Gaussian density fluctuations. We show that the extended PressSchechter (EPS) formalism for non-Gaussian fluctuations has a flaw in describing mass functions regardless of type of filtering. As an example, we consider non-Gaussian models in which density fluctuations at a point obeys a 2 distribution with degrees of freedom. We find that mass functions predicted by using an integral formula proposed by Jedamzik, and Yano, Nagashima & Gouda, properly taking into account correlation between objects at different scales, deviate from those predicted by using the EPS formalism, especially for strongly non-Gaussian fluctuations. Our results for the mass function at large mass scales are consistent with those by Avelino & Viana obtained from numerical simulations. Subject headings: cosmology: theory — galaxies: formation — galaxies: mass function — large-scale structure of universe
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