天文学进展2016，Vol.34Issue(2)：238-248,11.DOI:10.3969/j.issn.1000-8349.2016.02.07
黑洞吸积的随机扩散模型研究
Studies on Stochastic Model of Accreting Black Holes
摘要
Abstract
In this work we present a linear diffusion model for accreting black holes based on fluid mechanics theory. We demonstrate the detailed mathematical analysis of the model, moreover, the boundary conditions of the model are described according to the accretion disk. For simplicity, the viscosity ν is assumed to be independent of surface density Σ. We have developed a Ornstein Uhlenbeck (OU) process for the fluctuations in light curves of accreting black holes and demonstrated that it is a general consequence of the diffusion processes perturbed by a spatially correlated noise field. In addition, in order to verify the simulated performance of the OU process, we apply our method to fitting optical light curves which are derived from AGN Watch Website. The results confirm that: the OU process takes a good approximation to light curves, which contribute to increasing our understanding of the structure of quasar accretion system and study the light curves features.关键词
黑洞/吸积盘/线性扩散/OU过程Key words
black hole/accretion disc/linear diffusion/OU process分类
天文与地球科学引用本文复制引用
董典桥,王俊义,仇洪冰,安涛,符杰林,陆相龙..黑洞吸积的随机扩散模型研究[J].天文学进展,2016,34(2):238-248,11.基金项目
国家自然科学基金(61571143,61261017,61561014)；广西自然科学基金(2013GXNSFAA019334,2014GXNSFAA118387)；广西无线宽带通信与信号处理重点实验室基金(GXKL0614202, GXKL0614101, GXKL061501)；北京邮电大学泛在网络教育部重点实验室基金(KFKT-2014102)；广西认知无线电与信息处理教育部重点实验室基金(CRKL150112)；桂林电子科技大学创新研究团队基金；桂林电子科技大学研究生科研创新项目(YJCXS201528) （61571143,61261017,61561014）
