Scale-invariant models of the galaxy and cluster luminosity functions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Dark Matter, Galactic Clusters, Galactic Radiation, Luminosity, Halos, Scaling

Scientific paper

A model for the galaxy and cluster multiplicity functions is constructed on the basis of recent theoretical advances made in the understanding of the matter clustering at the kpc to the Mpc scales. Explicit relations are obtained between dark matter parameters (mass, radius) and the observed parameters within the radius where the luminosity is concentrated. It is found that the halo radius behaves as R is approximately equal to M exp 0.3 and that the mass multiplicity behaves as M exp -2. It is inferred that most of the mass is contained in the smaller galaxies with M/L approximately equal to L exp -0.6 at the faint end. Luminosity functions constructed for galaxies, rich clusters, and Turner-Gott groups are presented. Scaling rules are obtained for the 2D group multiplicity function when the sample depth or the density-contrast-defining clusters vary.

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