Nonlinear matter clustering properties of a cold dark matter universe

Details Nonlinear matter clustering properties of a cold dark matter universe Nonlinear matter clustering properties of a cold dark matter universe

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...383...19b&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 383, Dec. 10, 1991, p. 19-40. Research supported by NSF.

Mathematics

Probability

59

Cosmology, Dark Matter, Galactic Clusters, Scaling Laws, Universe, Mathematical Models, Nonlinearity, Probability Density Functions, Spatial Distribution

Scientific paper

The matter distribution of strongly nonlinear scales in a CDM model is investigated by determining the count probabilities in an unbiased catalog generated with a P3M simulation code developed by Davis and Efstathiou (1988) and by comparing the results with the predictions of the scale-invariant model introduced by Balian and Schaeffer (1988, 1989) and those of the thermodynamical model introduced by Saslaw (1985, 1989). The probability of finding a given amount of matter, i.e., N particles in a specified volume, is found to be a power law with a lower and an upper cutoff. A phenomenological model is proposed that is compatible with the data as well as with all the theoretical constants.

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