Statistical properties of cosmological N-body simulations

Details Statistical properties of cosmological N-body simulations Statistical properties of cosmological N-body simulations

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.251..575v&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 251, Aug. 15, 1991, p. 575-583.

Statistics

Computation

11

Astronomical Models, Cosmology, Dark Matter, Galactic Clusters, Bbgky Hierarchy, Computational Astrophysics, Simulation, Statistical Analysis

Scientific paper

The nonlinear evolution of N-body simulations for different primordial spectra is followed, by means of P3M numerical code. The spectra chosen are that of cold dark matter and two scale-free spectra with spectral indices n = 1 and n = -2. In order to study the effect of a biasing in the background distribution, are selected for each spectrum, which are associated with different density thresholds. A comparison of evolved power spectra and two-point functions with previous results shows excellent agreement. An enhanced clustering for higher biasing levels is observed only for spectra with sufficient power on large scales, while no significant effects are found for the scale-free model with n = 1. Correlation functions, up to the fourth order, are investigated by means of the moment method, in order to test the predictions of the gravitational instability picture in the nonlinear regime. It is found that nonlinear evolution leads to a shape for the three- and four-point functions which approaches the hierarchical expression as dynamical evolution proceeds and the biasing level increases, while the Kirkwood model seems to be ruled out. A comparison between these results on higher-order functions and predictions of the BBGKY equations in the stability regime shows good agreement.

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