Mechanical Feedback from Active Galactic Nuclei in Galaxies, Groups, and
  Clusters
  The radiative cooling timescales at the centers of hot atmospheres
surrounding elliptical galaxies, groups, and clusters are much shorter than
their ages. Therefore, hot atmospheres are expected to cool and to form stars.
Cold gas and star formation are observed in central cluster galaxies but at
levels below those expected from an unimpeded cooling flow. X-ray observations
have shown that wholesale cooling is being offset by mechanical heating from
radio active galactic nuclei. Feedback is widely considered to be an important
and perhaps unavoidable consequence of the evolution of galaxies and
supermassive black holes. We show that cooling X-ray atmospheres and the
ensuing star formation and nuclear activity are probably coupled to a
self-regulated feedback loop. While the energetics are now reasonably well
understood, other aspects of feedback are not. We highlight the problems of
atmospheric heating and transport processes, accretion, and nuclear activity,
and we discuss the potential role of black hole spin. We discuss X-ray imagery
showing that the chemical elements produced by central galaxies are being
dispersed on large scales by outflows launched from the vicinity of
supermassive black holes. Finally, we comment on the growing evidence for
mechanical heating of distant cluster atmospheres by radio jets and its
potential consequences for the excess entropy in hot halos and a possible
decline in the number of distant cooling flows.
