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2006MNRAS.369.1577C - Mon. Not. R. Astron. Soc., 369, 1577-1595 (2006/July-2)
Statistics of giant radio haloes from electron reacceleration models.
CASSANO R., BRUNETTI G. and SETTI G.
Abstract (from CDS):
In this work, we extend the above-mentioned analysis by including a scaling of the magnetic field strength with cluster mass. We show that, in the framework of the reacceleration model, the observed correlations between the synchrotron radio power of a sample of 17 GRHs and the X-ray properties of the hosting clusters are consistent with, and actually predicted by a magnetic field dependence on the virial mass of the form B ∝ Mbv, with b ≳ 0.5 and typical µG strengths of the average B intensity. The occurrence of GRHs as a function of both cluster mass and redshift is obtained: the evolution of such a probability depends on the interplay between synchrotron and inverse Compton losses in the emitting volume, and it is maximized in clusters for which the two losses are comparable.
The most relevant findings are that the predicted luminosity functions of GRHs are peaked around a power P1.4GHz∼ 1024/WHz, and severely cut off at low radio powers due to the decrease of the electron reacceleration in smaller galaxy clusters, and that the occurrence of GRHs at 1.4 GHz beyond a redshift z ∼ 0.7 appears to be negligible. As a related check, we also show that the predicted integral radio source counts within a limited volume (z ≤ 0.2) are consistent with present observational constraints. Extending the source counts beyond z = 0.2, we estimate that the total number of GRHs to be discovered at ∼ mJy radio fluxes could be ∼100 at 1.4 GHz. Finally, the occurrence of GRHs and their number counts at 150 MHz are estimated in view of the forthcoming operation of low-frequency observatories (LOFAR, LWA) and compared with those at higher radio frequencies.
Abstract Copyright: 2006 The Authors. Journal compilation © 2006 RAS
Journal keyword(s): acceleration of particles - radiation mechanisms: non-thermal - turbulence - galaxies: clusters: general - radio continuum: general - X-rays: general
CDS comments: Cluster 1E50657-558 is a misprint for 1ES 0657-55.8
Simbad objects: 18
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