The cloud-in-cloud problem for non-Gaussian density fields

Details The cloud-in-cloud problem for non-Gaussian density fields The cloud-in-cloud problem for non-Gaussian density fields

1999-07-15

arxiv.org/abs/astro-ph/9907209v2

Mon.Not.Roy.Astron.Soc. 314 (2000) 354-358

Astronomy and Astrophysics

Astrophysics

5 pages, LaTex using mn.sty, matches published version, results for the Inverted Chi-square distribution withdrawn

Scientific paper

10.1046/j.1365-8711.2000.03366.x

The cloud-in-cloud problem is studied in the context of the extension to non-Gaussian density fields of the Press-Schechter approach for the calculation of the mass function. As an example of a non-Gaussian probability distribution functions (PDFs) we consider the Chi-square, with various degrees of freedom. We generate density fields in cubic boxes with periodic boundary conditions and then determine the number of points considered collapsed at each scale through an hierarchy of smoothing windows. We find that the mass function we obtain differs from that predicted using the Extended Press-Schechter formalism, particularly for low values of $\sigma$ and for those PDFs most distinct from a Gaussian.

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