Mathematics – Logic
Scientific paper
Jul 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...330..535l&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 330, July 15, 1988, p. 535-544.
Mathematics
Logic
77
Cosmology, Galactic Clusters, Galactic Evolution, Bbgky Hierarchy, Mass Distribution, Mass To Light Ratios, Statistical Distributions, Thermodynamics
Scientific paper
The mass function of cosmic structures is computed in the framework of the hierarchical clustering picture for a general statistics of density perturbations. 'Hierarchical' distributions are extensively analyzed; it is found that the multiplicity function preserves the Press-Schechter functional form with enhanced power on large scales compared to the Gaussian case. A class of scale-invariant non-Gaussian statistics, among which are a model due to Peebles and the lognormal distribution, are also analyzed. All these predict a mass function which is a decreasing power law at low mass followed by an exponential decay at high mass; none of them, however, yields a mass function of the Press-Schechter type. The effect of a statistical bias on the origin of condensations is also discussed. The comparison of these theoretical formulae with the observed mass multiplicity of galaxies, groups, and clusters may represent a powerful tool to test the statistics of cosmological perturbations.
Lucchin Francesco
Matarrese Sabino
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