The Kinetic Evolution and Velocity Distribution of Gravitational Galaxy Clustering
Abstract
We derive the spatial statistical distribution function for quasi equilibrium gravitational clustering in an expanding universe from more general assumptions than before, without needing an earlier Ansatz. Then we show how this statistical distribution is related to the kinetic development of the BBGKY hierarchy and how to obtain an analytic description for the time evolution of an initial Poisson distribution. From general principles, we also derive an analytic velocity distribution function for quasiequilibrium gravitational clustering. It has no free parameters. Comparison with Nbody experiments shows excellent agreement.
 Publication:

The Astrophysical Journal
 Pub Date:
 December 1990
 DOI:
 10.1086/169496
 Bibcode:
 1990ApJ...365..419S
 Keywords:

 Cosmology;
 Galactic Clusters;
 Galactic Evolution;
 Gravitational Effects;
 Velocity Distribution;
 Analytic Functions;
 Spatial Distribution;
 Statistical Analysis;
 Statistical Distributions;
 Astrophysics;
 COSMOLOGY;
 GALAXIES: CLUSTERING;
 GALAXIES: FORMATION;
 GRAVITATION;
 HYDRODYNAMICS