Analytic Approach to the Cloud-in-cloud Problem for Non-Gaussian Density Fluctuations

Details Analytic Approach to the Cloud-in-cloud Problem for Non-Gaussian Density Fluctuations Analytic Approach to the Cloud-in-cloud Problem for Non-Gaussian Density Fluctuations

2001-10-23

arxiv.org/abs/astro-ph/0110503v2

Astrophys.J. 574 (2002) 9-18

Astronomy and Astrophysics

Astrophysics

10 pages, 7 EPS files, submitted to ApJ

Scientific paper

10.1086/340938

We revisit the cloud-in-cloud problem for non-Gaussian density fluctuations. We show that the extended Press-Schechter (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 \chi^2 distribution with \nu degrees of freedom. We find that mass functions predicted by using an integral formula proposed by Jedamzik, and Yano, Nagashima and 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 and Viana obtained from numerical simulations.

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