Self-similar gravitational clustering

Details Self-similar gravitational clustering Self-similar gravitational clustering

Oct 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979mnras.189..203e&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 189, Oct. 1979, p. 203-220.

Mathematics

Logic

61

Cosmology, Galactic Clusters, Galactic Evolution, Gravitational Effects, Astronomical Models, Graphs (Charts), Hierarchies, Least Squares Method, Many Body Problem, Scaling Laws, Stellar Luminosity

Scientific paper

The evolution of gravitational clustering are considered and scaling relations are derived for the multiplicity function. These include generalization of the Press-Schechter theory to different densities and cosmological parameters. The theory is tested against multiplicity functions and correlation function estimates for a series of 1000-body experiments. It is noted that there is no evidence for a nonlinear bootstrap effect or a dependence of the multiplicity function on the internal dynamics of condensed groups. Empirical estimates of the multiplicity function by Gott and Turner have a feature near the characteristic luminosity predicted by the theory. A method for relating the multiplicity function to similar measures of clustering for the distribution of galaxies on the sky is developed.

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