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

Abstract

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.

5 pages, LaTex using mn.sty, matches published version, results for the Inverted Chi-square distribution withdrawn

References in corpus (4)

• Evolution of the cluster abundance in non-Gaussian models
• Higher order moments of the density field in a parameterized sequence of non-gaussian theories
• The cloud-in-cloud problem for non-Gaussian density fields
• Generating Non-Gaussian Adiabatic Fluctuations from Inflation

Cited by in corpus (11)

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• Cosmological perturbations and the reionization epoch
• Primordial black hole constraints on non-gaussian inflation models
• The cloud-in-cloud problem for non-Gaussian density fields
• Analytic Approach to the Cloud-in-cloud Problem for Non-Gaussian Density Fluctuations
• A new signature of primordial non-Gaussianities from the abundance of galaxy clusters
• Cosmic reionization constraints on the nature of cosmological perturbations
• Evolution of Power Spectrum in Non-Gaussian Models