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arXiv 0711.3280astro-ph
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吸积盘中的混沌行为

Chaotic behavior in the accretion disk

Liu Lei, Hu Fei

摘要:

类星体的光度偏心变化至今仍是个谜。这种行为的分析结果范围从多周期行为的一个纯粹的随机过程。最近,我们用非线性时间序列分析方法分析了3C273的光变曲线,发现它的偏心行为可能是混沌的[L.刘钦,越-地J. Astron. \textbf{6},663(2006)]。这一结果促使我们寻找一些非线性机制来解释偏心光度变化。本文提出了一个简单的非线性吸积盘模型,并发现在某些情况下它表现出混沌行为。然后我们计算了爆发能量$\triangle F$,定义为最大亮度和最小亮度之差,以及平均亮度$<F>$。我们发现$\triangle F\sim < F >^α$在混沌域中,其中$α\approx 1$.在这个域中,我们还发现了中心黑洞的质量为$<F > \sim M^{0.5}$,其中$M$是中心黑洞的质量。这些结果被观测资料分析的某些结果所证实或与之相一致[A. J. Pica和A. G.史密斯,天体物理学。J. \textbf{272},11(1983); M. Wold,M. S. Brotherton和Z.翔,蒙。没有R. \textbf{375},989(2007)]。

英文摘要:

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)].

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