Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AGN heating and ICM cooling in the HIFLUGCS sample of galaxy clusters   We have carried out an intensive study of the AGN heating-ICM cooling network
by comparing various cluster parameters of the HIFLUGCS sample to the
integrated radio luminosity of the central AGN, L_R, defined as the total
synchrotron power between 10 MHz and 15 GHz. We adopt the central cooling time,
t_cool, as the diagnostic to ascertain cooling properties of the clusters and
classify clusters with t_cool < 1 Gyr as strong cooling core (SCC) clusters,
with 1 Gyr < t_cool <7.7 Gyr as weak cooling core (WCC) clusters and with
t_cool > 7.7 Gyr as non-cooling core (NCC) clusters. We find 48 out of 64
clusters (75%) contain cluster center radio sources (CCRS) cospatial with or
within 50 h^{-1}_{71} kpc of the X-ray peak emission. Further, we find that the
probability of finding a CCRS increases from 45% to 67% to 100% for NCC, WCC
and SCC clusters, respectively, suggesting an AGN-feedback machinery in SCC
clusters which regulates the cooling in the central regions.
  We find L_R in SCC clusters depends strongly on the cluster scale such that
more massive clusters harbor more powerful radio AGN. The same trend is
observed between L_R and the classical mass deposition rate, MDR, albeit much
stronger, in SCC and partly also in WCC clusters. We also perform correlations
of the 2MASS K-band luminosity of the brightest cluster galaxy, L_BCG, with L_R
and cluster parameters. We invoke the relation between L_BCG and the black hole
mass, M_BH, and find a surprisingly tight correlation between M_BH and L_R for
SCC clusters. We find also an excellent correlation of L_BCG with M500 and L_X
for the entire sample; however, SCC clusters show a tighter trend in both the
cases. We discuss the plausible reasons behind these scaling relations in the
context of cooling flows and AGN feedback. [Abridged]

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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat