Thermodynamics and galaxy clustering: Analysis of the center for astrophysics redshift catalog

Astronomy and Astrophysics – Astrophysics

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Astronomical Catalogs, Distribution Functions, Galactic Clusters, Red Shift, Statistical Tests, Thermodynamics, Cosmology, Random Processes, Signal To Noise Ratios

Scientific paper

In a recent paper Saslaw and Hamilton developed distribution functions for homogeneous gravitational clustering and found substantial agreement with N-body simulations of galaxy clustering from random initial conditions. The present paper compares these distributions to the observed distributions from the Center for Astrophysics redshift galaxy catalog, using formal statistical tests. In order to obtain the best possible signal-to-noise, a new method is used to stack the data from many volume-limited subsamples. It is found that the distributions are consistent with the observations at about the same level that the observations are consistent among themselves, as judged from one- and two-sample chi-squared tests of significance. The theoretical distributions have three-point correlation amplitudes between 0.75 and 1 and multiplicity functions with the same form as the multiplicity function proposed by Press and Schechter for a galaxy distribution evolved from random initial conditions; both these results are known to be consistent with observations.

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