黑洞吸积的随机扩散模型研究  

Studies on Stochastic Model of Accreting Black Holes

作　　者：董典桥 王俊义[1] 仇洪冰[1] 安涛[2] 符杰林[1] 陆相龙[1] 

机构地区：[1]桂林电子科技大学广西无线宽带通信与信号处理重点实验室,桂林541004 [2]中国科学院上海天文台,上海200030

出　　处：《天文学进展》2016年第2期238-248,共11页Progress In Astronomy

基　　金：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)

摘　　要：基于流体力学理论对黑洞吸积构建了一个线性扩散模型,为了简化模型,假设粘滞系数ν与面密度Σ是独立的。对吸积黑洞光变建立了一个随机模型(OU过程),并证明得到这个多维OU过程是存在扰动场的扩散模型的解。将OU过程应用于光变曲线拟合,结果表明:OU过程能很好地拟合光变曲线,有助于进一步了解吸积系统中心结构以及研究光变特性。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 

分 类 号：P142.6[天文地球—天体物理]