NonGaussian Fluctuations and the Correlations of Galaxies or Rich Clusters of Galaxies
Abstract
Natural primordial mass density fluctuations are those for which the probability distribution, for mass density fluctuations averaged over the horizon volume, is independent of time. This criterion determines that the twopoint correlation of mass density fluctuations has a Zeldovich power spectrum but allows for many types of reduced (connected) higher correlations. Assuming galaxies or rich clusters of galaxies arise wherever suitably averaged natural mass density fluctuations are unusually large, it is shown that the twopoint correlation of galaxies or rich clusters of galaxies can have significantly more power at small wavenumbers than the Zeldovich spectrum. This behavior is caused by the nonGaussian part of the probability distribution for the primordial mass density fluctuations.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1986
 DOI:
 10.1086/164660
 Bibcode:
 1986ApJ...310...19G
 Keywords:

 Cosmology;
 Density Distribution;
 Galactic Clusters;
 Probability Distribution Functions;
 Feynman Diagrams;
 Fluctuation Theory;
 Integral Equations;
 Power Spectra;
 Astrophysics;
 COSMOLOGY;
 GALAXIES: CLUSTERING