Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Radio Luminosity Function of Cluster Radio Halos   A significant fraction of galaxy clusters exhibits cluster wide radio halos.
We give a simple prediction of the local and higher redshift radio halo
luminosity function (RHLF) on the basis of (i) an observed and a theoretical
X-ray cluster luminosity function (XCLF) (ii) the observed radio--X-ray
luminosity correlation (RXLC) of galaxy clusters with radio halos (iii) an
assumed fraction of 1/3 galaxy clusters to have radio halos as supported by
observations. We then find 300-700 radio halos with S_1.4GHz > 1 mJy, and 10^5
- 10^6 radio halos with S_1.4GHz > 1 muJy should be visible on the sky. 14% of
the S_1.4GHz > 1 mJy and 56% of the S_1.4GHz > 1 muJy halos are located at
z>0.3. Subsequently, we give more realistic predictions taking into account
(iv) a refined estimate of the radio halo fraction as a function of redshift
and cluster mass, and (v) a decrease in intrinsic radio halo luminosity with
redshift due to increased inverse Compton electron energy losses on the Cosmic
Microwave Background (CMB). We find that this reduces the radio halo counts
from the simple prediction by only 30 % totally, but the high redshift (z>0.3)
counts are more strongly reduced by 50-70%. These calculations show that the
new generation of sensitive radio telescopes like LOFAR, ATA, EVLA, SKA and the
already operating GMRT should be able to detect large numbers of radio halos
and will provide unique information for studies of galaxy cluster merger rates
and associated non-thermal processes.

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The categories of this paper are: stat
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: eess
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: plasm-ph