Chaotic behavior in accretion disks

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Quasar, Accretion Disk, Chaos

Scientific paper

The eccentric luminosity variations of quasars are still a mystery. Analytic results of this behavior ranged from multi-periodic behavior to a purely random process. Recently, we have used the non-linear time-series analysis techniques to analyze the optical light curve of 3C 273 and found that its eccentric behavior may be a low-dimensional chaos. This result induces us to seek some non-linear mechanism for the eccentric luminosity variation. In this paper, we propose a simple non-linear accretion disk model and find that under some circumstances, the chaos appears both in the disk and in the light curve. Then we compute the outburst energy Δ I, defined by the difference between the maximum luminosity and the minimum luminosity, and the mean luminosity < I> and find that when chaos appears, Δ I˜< I> α ˜ M 0.5 α , where M is the mass of black hole and α≈1. These results are confirmed by and/or compatible with the observational data analysis.

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