Merger rates in hierarchical models of galaxy formation

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Galactic Evolution, Galactic Halos, Interacting Galaxies, Baryons, Dark Matter, Gravitational Effects, Monte Carlo Method

Scientific paper

An analytical description of the merging of virialized halos which is applicable to any hierarchical model in which structure grows via gravitational instability is presented. The dependence of the merger rate on halo mass, epoch, the spectrum of initial density fluctuations, and the density parameter Omega0 is explicitly quantified. The distribution of halo formation times and survival times is calculated. A Monte Carlo method for constructing representative histories of merger events leading to the formation of halos of a prescribed mass is also described. From the application of these results to the age distribution of rich clusters of galaxies, it is inferred that a high value of the density parameter (greater than about 0.5) is required to reproduce the substantial fraction of rich clusters that exhibit such substructure, if this substructure only persists for a time of 0.2 t(0) after a merger, where t(0) is the present age of the universe.

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