Chaotic behavior in the accretion disk
| dc.creator | Lei, Liu | |
| dc.creator | Fei, Hu | |
| dc.date | 2007-11-21 | |
| dc.date | 2008-03-26 | |
| dc.date.accessioned | 2026-07-07T09:28:13Z | |
| dc.date.available | 2026-07-07T09:28:13Z | |
| dc.description | The eccentric luminosity variation of quasars is still a mystery. Analytic results of this behavior ranged from multi-periodic behavior to a purely random process. Recently, we have used nonlinear time-series analysis to analyze the light curve of 3C 273 and found its eccentric behavior may be chaos [L. Liu, Chin. J. Astron. Astrophys. \textbf{6}, 663 (2006)]. This result induces us to look for some nonlinear mechanism to explain the eccentric luminosity variation. In this paper, we propose a simple non-linear accretion disk model and find it shows a kind of chaotic behavior under some circumstances. Then we compute the outburst energy $\triangle F$, defined as the difference of the maximum luminosity and the minimum luminosity, and the mean luminosity $<F>$. We find that $\triangle F\sim < F >^α$ in the chaotic domain, where $α\approx 1$. In this domain, we also find that $<F > \sim M^{0.5}$, where $M$ is the mass of central black hole. These results are confirmed by or compatible with some results from the observational data analysis [A. J. Pica and A. G. Smith, Astrophys. J. \textbf{272}, 11 (1983); M. Wold, M. S. Brotherton and Z. Shang, Mon. Not. R. Astron. Soc. \textbf{375}, 989 (2007)]. | |
| dc.description | 14 pages, 9 figures | |
| dc.identifier | https://arxiv.org/abs/0711.3280 | |
| dc.identifier | http://arxiv.org/abs/0711.3280 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157375 | |
| dc.subject | Astrophysics | |
| dc.title | Chaotic behavior in the accretion disk | |
| dc.type | text |