Entropy Profiles in the Cores of Cooling Flow Clusters of Galaxies

The X-ray properties of a relaxed cluster of galaxies are determined primarily by its gravitational potential well and the entropy distribution of its intracluster gas. That entropy distribution reflects both the accretion history of the cluster and the feedback processes which limit the condensation of intracluster gas. Here we present Chandra observations of the core entropy profiles of nine classic "cooling-flow" clusters that appear relaxed and contain intracluster gas with a cooling time less than a Hubble time. We show that those entropy profiles are remarkably similar, despite the fact that the clusters range over a factor of three in temperature. They typically have an entropy level of ~ 130 keV cm² at 100 kpc that declines to a plateau ~10 keV cm² at \ 10 kpc. Between these radii, the entropy profiles are \ rᵃlpha with alpha ~ 1. 0 - 1. 3. The non-zero central entropy levels in these clusters correspond to a cooling time ~10⁸ yr, suggesting that episodic heating on this timescale maintains the central entropy profile in a quasi-steady state.