Velocity Bias from Merging in Clusters of Galaxies: The beta < 1 Problem

Details Velocity Bias from Merging in Clusters of Galaxies: The beta < 1 Problem Velocity Bias from Merging in Clusters of Galaxies: The beta < 1 Problem

Aug 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apj...449..431f&link_type=abstract

Astrophysical Journal v.449, p.431

Astronomy and Astrophysics

Astronomy

7

Galaxies: Clusters: General, Galaxies: Distances And Redshifts, X-Rays: Galaxies

Scientific paper

We study the evolution of the galaxy velocity distribution in galaxy clusters under binary aggregations. Starting with an initial Maxwell distribution, we solve the complete Boltzmann-Liouville equation including collisions. We find an asymptotic distribution characterized by a galaxy velocity dispersion smaller than that of the dark matter. This is due to the transfer from orbital to internal energy occurring in galaxy merging, which is not completely balanced by the galaxy response to the cluster gravitational field. As a consequence, the value of the parameter β that enters in the standard hydrostatic isothermal β-model is less than 1, as determined from the fits to the X-ray surface brightness data. The result is robust with respect to different shapes of the cluster mass distribution. The dependence of β on the cluster velocity dispersion and size is computed and discussed.

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