On the dynamical evolution of rich galaxy clusters

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Clusters, Galactic Evolution, Anisotropy, Astronomical Models, Dark Matter, Fokker-Planck Equation, Mass Spectra

Scientific paper

The results of a systematic study of the dynamical evolution of rich galaxy clusters in the two-body relaxation phase are presented. The study includes two important ingredients in a realistic description of these systems: (1) anisotropy of the distribution function in the momentum space, treated in a self-consistent way, and (2) a mass spectrum, which in particular makes it possible to consider a continuous background of dark matter. The system evolution is described by the Fokker-Planck equation, which is solved by the moment method. As initial configurations, isotropic King models are taken, with either a Schechter-like or a tidal-limited mass spectrum. It has been found that an anisotropy develops in any case and that the final stage of the evolution is always a gravothermal catastrophe process, induced by the more massive galaxies. The dependence on the model parameters of the mass segregation and the velocity dispersion profiles at one Hubble time has been analyzed in detail. The comparison with data of four galaxy clusters shows a very good agreement.

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