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 examples of non-Gaussian probability distribution functions (PDFs) we consider the Chi-square and the Inverted 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.Keywords
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