A Physical Model for Baryons in Clusters of Galaxies

The X-ray emission from clusters of galaxies is one of the best observational probe to investigate the distribution of dark matter at intermediate and high redshifts. Since the disposition of the intracluster plasma (ICP) responsible of the emission is crucial to link X-ray properties to the global properties of the dark matter halos, we propose a semi--analytical approach for the diffuse baryons. This comprises the following blocks: Monte Carlo merging histories to describe the dynamics of dark matter halos; the central hydrostatic disposition for the ICP; conditions of shock, or of closely adiabatic compression at the boundary with the external gas, preheated by stellar energy feedbacks. From our model we predict the $L-T$ correlation, consistent with the data as for shape and scatter.