IS THE DENSITY DISTRIBUTION OF CLUSTERS NON-GAUSSIAN ?

Details IS THE DENSITY DISTRIBUTION OF CLUSTERS NON-GAUSSIAN ? IS THE DENSITY DISTRIBUTION OF CLUSTERS NON-GAUSSIAN ?

1995-05-10

arxiv.org/abs/astro-ph/9505049v1

Astronomy and Astrophysics

Astrophysics

To appear in the proceedings of the XXXth MORIOND meeting: "Clustering in the Universe". 8 pages, compressed uuencoded file

Scientific paper

The one-point probability distribution function (pdf) is computed for the $25\hmpc$-smoothed density field of rich clusters of galaxies in the Abell/\aco\ catalogs. The observed pdf is compared to the pdf s drawn similarly from mock catalogs of clusters in cosmological simulations of Gaussian and several non-Gaussian initial conditions. Several statistics allow significant rejection of the non-Gaussian models tested here, and fail to reject the Gaussian model. A comparison with the predictions of second-order perturbation theory and a log-normal model for cdm Gaussian initial conditions yield a linear biasing factor $b_c/b_o \simeq 4$ and $b_c/b_o\simeq 3.7$ for $R\geq 0$ clusters.

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