环面团簇的极限效应
Limiting effects in tori clusters
摘要：
我们考虑围绕一个超大质量黑洞的未对准环面的聚集体。通过引入一个主导函数来控制黑洞吸引子周围的环面（和圆盘内的最大压力点）的分布，将倾斜环面的聚集体建模为单个轨道配置。绕轨道运行的星系团由几何上厚的、压力支撑的、理想的流体环组成。这种分析限制了倾斜环面和更一般的轨道盘聚集体的存在和性质。我们研究的约束环碰撞出现和不稳定的团聚体的环一般的相对倾角，环的几何厚度和振荡现象的可能影响。讨论了无量纲参数$ξ$对轨道环状结构的依赖性，该参数表示BH的总转动能与BH的质量的关系，并将$ξ$与吸积过程的特征联系起来。
英文摘要：
We consider agglomerates of misaligned tori orbiting a supermassive black hole. The aggregate of tilted tori is modeled as a single orbiting configuration by introducing a leading function governing the distribution of toroids (and maximum pressure points inside the disks) around the black hole attractor. The orbiting clusters are composed by geometrically thick, pressure supported, perfect fluid tori. This analysis places constraints on the existence and properties of tilted tori and more general aggregates of orbiting disks. We study the constraints on the tori collision emergence and the instability of the agglomerates of tori with general relative inclination angles, the possible effects of the tori geometrical thickness and on the oscillatory phenomena. Some notes are discussed on the orbiting ringed structure in dependence of the dimensionless parameter $ξ$ representing the (total) BH rotational energy extracted versus the mass of the BH, associating $ξ$ to the characteristics of the accretion processes.
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