Active galactic nucleus X-ray variability in the xmm-cosmos survey

We used the observations carried out by XMM in the COSMOS field over 3.5 yr to study the long term variability of a large sample of active galactic nuclei (AGNs) (638 sources) in a wide range of redshifts (0.1 < z < 3.5) and X-ray luminosities (1041 < L 0.5-10 <1045.5). Both a simple statistical method to assess the significance of variability and the Normalized Excess Variance (sigma ^{2}_{rms}) parameter were used to obtain a quantitative measurement of the variability. Variability is found to be prevalent in most AGNs, whenever we have good statistics to measure it, and no significant differences between type 1 and type 2 AGNs were found. A flat (slope -0.23 ± 0.03) anti-correlation between sigma ^{2}_{rms} and X-ray luminosity is found when all significantly variable sources are considered together. When divided into three redshift bins, the anti-correlation becomes stronger and evolving with z, with higher redshift AGNs being more variable. We prove, however, that this effect is due to the pre-selection of variable sources: when considering all of the sources with an available sigma ^{2}_{rms} measurement, the evolution in redshift disappears. For the first time, we were also able to study long term X-ray variability as a function of M BH and Eddington ratio for a large sample of AGNs spanning a wide range of redshifts. An anti-correlation between sigma ^{2}_{rms} and M BH is found, with the same slope of anti-correlation between sigma ^{2}_{rms} and X-ray luminosity, suggesting that the latter may be a by-product of the former. No clear correlation is found between sigma ^{2}_{rms} and the Eddington ratio in our sample. Finally, no correlation is found between the X-ray sigma ^{2}_{rms} and optical variability.