论文标题
湍流气态介质中巨大黑洞的动态摩擦
Dynamical friction of a massive black hole in a turbulent gaseous medium
论文作者
论文摘要
在合并后,星系中大规模黑洞的轨道衰变是大型黑洞是否成功配对并合并,导致低频引力波的发射。来自气体分布的动力摩擦的作用尚不确定,因为许多分析和数值研究都集中在同质培养基上,或者尚未达到与问题相关的量表以下的分辨率,即Bondi-Hoyle-Lyttleton Radius。我们对湍流介质中移动的巨大黑洞进行了数值模拟,以研究湍流气体的动态摩擦。我们发现,黑洞会降低到声速,而不是湍流速度,并且如果邦迪 - 霍伊勒 - 莱特顿半径(Bondi-Hoyle-Lyttleton Radius)使用至少五个分辨率元素解决,则轨道衰减会很好地捕获。我们发现,由于问题的随机性质,湍流涡流越大,动态摩擦幅度中的散射越大,这也是因为黑洞沿其轨迹遇到的较大的过度和不足。与均匀介质中的经典溶液相比,力的幅度更弱地取决于马赫数,而动力学摩擦总体对于高马赫数而言更有效,但在跨性别者方面和处于跨性别状态下的效率较低。
The orbital decay of massive black holes in galaxies in the aftermath of mergers is at the heart of whether massive black holes successfully pair and merge, leading to emission of low-frequency gravitational waves. The role of dynamical friction sourced from the gas distribution has been uncertain because many analytical and numerical studies have either focussed on a homogeneous medium or have not reached resolutions below the scales relevant to the problem, namely the Bondi-Hoyle-Lyttleton radius. We performed numerical simulations of a massive black hole moving in a turbulent medium in order to study dynamical friction from turbulent gas. We find that the black hole slows down to the sound speed, rather than the turbulent speed, and that the orbital decay is well captured if the Bondi-Hoyle-Lyttleton radius is resolved with at least five resolution elements. We find that the larger the turbulent eddies, the larger the scatter in dynamical friction magnitude, because of the stochastic nature of the problem, and also because of the larger over- and under-densities encountered by the black hole along its trajectory. Compared to the classic solution in a homogeneous medium, the magnitude of the force depends more weakly on the Mach number, and dynamical friction is overall more efficient for high Mach numbers, but less efficient towards and at the transonic regime.