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Nonlinear matter clustering properties of a cold dark matter universe
Bouchet, Francois R.; Schaeffer, Richard; Davis, Marc
AA(CNRS, Institut d'Astrophysique, Paris, France), AB(CEA, Service de Physique Theorique, Gif-sur-Yvette, France), AC(California, University, Berkeley; CNRS, Institut d'Astrophysique, Paris, France)
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 383, Dec. 10, 1991, p. 19-40. Research supported by NSF. (ApJ Homepage)
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NASA/STI Keywords:
Cosmology, Dark Matter, Galactic Clusters, Scaling Laws, Universe, Mathematical Models, Nonlinearity, Probability Density Functions, Spatial Distribution
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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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Database: Astronomy
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