  This paper aims to investigate/map the effects that perturbations applied to
an accretion disk might produce on the registered Light Curves (LC). The case
of accretion disks around supermassive active black holes (AGNs) is studied
with the goal to explain some of the statistical properties of the observed
IntraDay Variability (IDV). The region producing optical IDV is perturbed by
allowing it to develop a mass density of a fractional Brownian Motion-like
type. The light curves and spectral slopes are calculated and compared to
observational data for different Hurst parameters. The spectral slopes of the
simulated light curves vary in the range $(0.4,2.5)$. The agreement with
observational data shows that a magnetized disk subjected to stochastic
perturbations can produce some of the features observed in the light curves.
