arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1602.04069astro-ph.HEastro-ph.GAastro-ph.SR
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吸积盘动力学:自相似自引力模型中的α粘性

Accretion disk dynamics: α-viscosity in self-similar self-gravitating models

Marcus Kubsch, T. F. Illenseer, W. J. Duschl

摘要:

目的:本文研究了α粘滞系数在自相似模型中对自引力盘的适用性,重点研究了活动星系核盘的自引力盘。研究方法:我们使用自相似的方法来简化所产生的偏微分方程的演化方程,然后使用数值标准程序求解。结果:我们找到了自引力α盘动力学演化的自相似解,并导出了有意义的物理量。在圆盘的开普勒部分,我们的模型与标准的定态α圆盘理论是一致的,并且在整个自引力区都是自洽的。整个盘的正吸积率需要高度的自引力。结合吸积率的时间下降和它的低量,该模型禁止大的中心质量的增长。结论:α粘滞度不能解释活动星系核中超大质量黑洞(SMBH)整个质量谱的演化。然而,考虑到所涉及的尺度,它似乎适合于模拟原行星盘。关键词:吸积,吸积盘,湍流,流体力学,方法:分析

英文摘要:

Aims: We investigate the suitability of α-viscosity in self-similar models for self-gravitating disks with a focus on active galactic nuclei (AGN) disks. Methods: We use a self-similar approach to simplify the partial differential equations arising from the evolution equation, which are then solved using numerical standard procedures. Results: We find a self-similar solution for the dynamical evolution of self-gravitating α-disks and derive the significant quantities. In the Keplerian part of the disk our model is consistent with standard stationary α-disk theory, and self-consistent throughout the self-gravitating regime. Positive accretion rates throughout the disk demand a high degree of self-gravitation. Combined with the temporal decline of the accretion rate and its low amount, the model prohibits the growth of large central masses. Conclusions: α-viscosity cannot account for the evolution of the whole mass spectrum of super-massive black holes (SMBH) in AGN. However, considering the involved scales it seems suitable for modelling protoplanetary disks. Keywords: accretion, accretion disks, turbulence, hydrodynamics, methods: analytical

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