The abundances and properties of Dual AGN and their host galaxies in the EAGLE simulations

We look into the abundance of Dual AGN (active galaxy nuclei) in the largest volume hydrodynamical simulation from the EAGLE project. We define a Dual AGN as two active black holes with a separation below 30 kpc. We find that only 1 percent of AGN with $L_{\rm HX}\geq 10^{42}$ erg/s are part of an observable Dual AGN system at $z=0.8-1$. During the evolution of a typical binary black hole system, the rapid variability of the hard X-ray luminosity on Myr time-scales severely limits the detectability of Dual AGN. To quantify this effect, we calculate a probability of detection, $t_{\rm on}/t_{\rm 30}$, where $t_{\rm 30}$ is the time in which the two black holes were separated at distances below 30 pkpc and $t_{\rm on}$, the time that both AGN are visible (e.g. when both AGN have $L_{\rm HX}\geq 10^{42}$ erg/s) in this period. We find that the average fraction of visible Dual systems is 3 percent. The visible Dual AGN distribution as a function of black hole separation increases with small separations and it presents a pronounced peak at $20-25$ kpc. This shape can be understood as a result of the rapid orbital decay of the host galaxies after their first encounter. Looking at the merger history of the galaxies hosting a Dual AGN, we find that $75$ percent of the host galaxies have recently undergone or are undergoing a merger with stellar mass ratio $\geq 0.1$. Finally, we find that the fraction of visible Dual AGN with respect to the total AGN increases with redshift as found in observations.