N-body simulations of galaxy clustering. V - The multiplicity function

Details N-body simulations of galaxy clustering. V - The multiplicity function N-body simulations of galaxy clustering. V - The multiplicity function

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...246..656b&link_type=abstract

Astrophysical Journal, Part 1, vol. 246, June 15, 1981, p. 656-665. Research supported by the Alfred P. Sloan Foundation

Astronomy and Astrophysics

Astrophysics

23

Distribution Functions, Galactic Clusters, Gravitational Effects, Many Body Problem, Mathematical Models, Astronomical Models, Covariance, Density Distribution

Scientific paper

The multiplicity function is an important statistic of galaxy clustering. It measures the distribution of group and cluster sizes at a given density enhancement. The multiplicity functions of a number of N-body simulations (N = 1000-4000) have been compared to the observations. The simulations and the observations are in remarkable agreement, giving further support to the gravitational instability picture. The simulations produce multiplicity functions in better agreement with the observations than the currently available theoretical fitting formulae. As predicted by Press and Schechter (1974), the multiplicity function depends most strongly on the initial density fluctuation spectrum index.

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