Analytical approximations to the large-scale gravitational clustering.

Details Analytical approximations to the large-scale gravitational clustering. Analytical approximations to the large-scale gravitational clustering.

Apr 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997areps...1...15m&link_type=abstract

Astrophysics Reports, Special Issue, No. 2, p. 15 - 42

Mathematics

Logic

Cosmological Models: Clustering, Cosmological Models: Density Perturbations

Scientific paper

The authors show that in a hierarchical clustering model the low-order statistics of the density and the peculiar velocity fields can all be modelled semianalytically for a given cosmology and an initial density perturbation power spectrum P(k). They present such models for the two-point correlation function, the amplitude of the three-point correlation function, the mean pairwise peculiar velocity, the pairwise peculiar velocity dispersion, and the one-point peculiar velocity dispersion. The authors test the models against results derived from N-body simulations. These models allow us to understand in detail how these statistics depend on P(k) and cosmological parameters.

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