Individual optical variability of Active Galactic Nuclei from the
  MEXSAS2 sample
  Most of the variability studies of active galactic nuclei (AGNs) are based on
ensemble analyses. Nevertheless, it is interesting to provide estimates of the
individual variability properties of each AGN, in order to relate them with
intrinsic physical quantities. A useful dataset is provided by the Catalina
Surveys Data Release 2 (CSDR2), which encompasses almost a decade of
photometric measurements of $\sim500$ million objects repeatedly observed
hundreds of times. We aim to investigate the individual optical variability
properties of 795 AGNs originally included in the Multi-Epoch XMM Serendipitous
AGN Sample 2 (MEXSAS2). Our goals consist in: (i) searching for correlations
between variability and AGN physical quantities; (ii) extending our knowledge
of the variability features of MEXSAS2 from the X-ray to the optical. We use
the structure function (SF) to analyse AGN flux variations. We model the SF as
a power-law, $\text{SF}(\tau)=A\,(\tau/\tau_0)^\gamma$, and we compute its
variability parameters. We introduce the V-correction as a simple tool to
correctly quantify the amount of variability in the rest frame of each source.
We find a significant decrease of variability amplitude with increasing
bolometric, optical and X-ray luminosity. We obtain the indication of an
intrinsically weak positive correlation between variability amplitude and
redshift, $z$. Variability amplitude is also positively correlated with
$\alpha_\text{ox}$. The slope of the SF, $\gamma$, is weakly correlated with
the bolometric luminosity $L_\text{bol}$ and/or with the black hole mass
$M_\text{BH}$. When comparing optical to X-ray variability properties, we find
that X-ray variability amplitude is approximately the same for those AGNs with
larger or smaller variability amplitude in the optical. On the contrary, AGNs
with steeper SF in the optical do present steeper SF in the X-ray, and vice
versa.
