A Scaling Relation between the SZ Decrement and the Thomson Depth in Clusters of Galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Clusters Of Galaxies, Dark Matter Simulations

Scientific paper

In a recent study of dark matter N-body simulations, a scaling relation between the SZ decrement and the Thomson depth of a cluster of galaxies of the form Delta T_r ~ tau_T^2 has been found (Diaferio et al. 2000). In this paper, it will be shown that such a scaling relation arises if the intracluster gas is distributed similar to the dark matter density described by the NFW-profile and the finite spatial resolution of the numerical simulation is taken into account. It is furthermore investigated whether the Delta T_r ~ tau_T^2 relation holds for analytical models of an isothermal gas sphere in the gravitational potential of a dark matter halo distributed according to the NFW-profile, the available experimental data of SZE observations, and recent results from cosmological gas-dynamical simulations of clusters of galaxies. Combining such a relation with temperature estimates from X-ray observations would provide information about a dependence of T_e on tau_T. The Thomson depth might therefore emerge as another important scaling parameter in studies of clusters of galaxies.

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