Linking X-ray AGN with dark matter halos: a model compatible with AGN luminosity function and large-scale clustering properties. (arXiv:1304.3717v1 [astro-ph.CO]):
Our goal is to find a minimalistic model describing the luminosity function
and large-scale clustering bias of the X-ray selected AGN in the general
framework of the concordance LCDM model. We assume that a simple
population-averaged scaling relation between the AGN X-ray luminosity L_X and
the host dark matter halo mass M_h exists. With such a relation, the AGN X-ray
luminosity function can be computed from the halo mass function. Using for the
latter the concordance LCDM halo mass function, we obtain the M_h-L_X relation
required to match the redshift dependent AGN X-ray luminosity function known
from X-ray observations. We find that with a simple power law scaling M_h
\propto L_X^\Gamma(z), our model can successfully reproduce the observed X-ray
luminosity function. Furthermore, we automatically obtain predictions for the
large-scale AGN clustering amplitudes and their dependence on the luminosity
and redshift, which seem to be compatible with AGN clustering measurements. Our
model also includes the redshift-dependent AGN duty cycle which peaks at the
redshift z ~ 1 and its peak value is consistent with unity, suggesting that on
average there is no more than one AGN per dark matter halo. For a typical X-ray
selected AGN at z ~ 1, our best-fit M_h-L_X scaling implies low Eddington ratio
L_X/L_Edd ~ 10^{-4}-10^{-3} and correspondingly large mass growth e-folding
times, suggesting that the typical X-ray AGN are dominantly fueled via
relatively inefficient 'hot-halo' accretion mode.
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