Mathematics – Probability
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...400...25b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 400, no. 1, p. 25-40.
Mathematics
Probability
63
Cosmology, Dark Matter, Galactic Clusters, Galactic Evolution, Gravitational Effects, Probability Distribution Functions, Many Body Problem, Red Shift, Universe, White Noise
Scientific paper
The time evolution of nonlinear clustering on large scales in cold dark matter, hot dark matter, and white noise models of the universe is investigated using N-body simulations performed with a tree code. Count probabilities in cubic cells are determined as functions of the cell size and the clustering state (redshift), and comparisons are made with various theoretical models. We isolate the features that appear to be the result of gravitational instability, those that depend on the initial conditions, and those that are likely a consequence of numerical limitations. More specifically, we study the development of skewness, kurtosis, and the fifth moment in relation to variance, the dependence of the void probability on time as well as on sparseness of sampling, and the overall shape of the count probability distribution. Implications of our results for theoretical and observational studies are discussed.
Bouchet Francois R.
Hernquist Lars
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