吸积盘随机变率的模拟
Modeling an accretion disc stochastical variability
摘要：
存在于吸积盘表面的热点被认为是活动星系核短期变化的一个模型。在本文中，我们应用随机点过程的理论来模拟所观察到的信号从一个合奏的随机产生的斑点。考虑了黑洞附近广义相对论效应的影响，结果表明，功率谱密度的典型特征可以再现。本文还根据霍克斯过程讨论了点与点之间的联系，霍克斯过程在低频率下产生更多的功率。我们推导出一个半解析的方法来近似所得到的功率谱密度。
英文摘要：
Hot spots residing on the surface of an accretion disc have been considered as a model of short-term variability of active galactic nuclei. In this paper we apply the theory of random point processes to model the observed signal from an ensemble of randomly generated spots. The influence of general relativistic effects near a black hole is taken into account and it is shown that typical features of power spectral density can be reproduced. Connection among spots is also discussed in terms of Hawkes' process, which produces more power at low frequencies. We derive a semi-analytical way to approximate the resulting power-spectral density.
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