具有中心黑洞的两分量Jaffe星系的等温Bondi吸积
Isothermal Bondi accretion in two-component Jaffe galaxies with a central black hole
摘要：
给出了二分量Jaffe（1983）星系模型中心黑洞等温Bondi吸积的完全解析解。在以前的工作中，我们给出了球对称单分量Jaffe星系模型中心MBH上吸积的临界吸积参数和马赫数径向分布的解析表达式。在这里，我们将这个解决方案的星系模型中的恒星和总质量密度分布所描述的贾菲配置文件，具有不同的尺度长度和质量，并添加到中央MBH。对于这样的星系模型，所有相关的恒星动力学性质也可以通过分析推导出来（Ciotti & Ziaee Lorzad 2018）。在这些新的模型中，流体动力学和恒星动力学性质的联系是通过强制气体温度与星系恒星组分的维里温度成正比。所提供的公式，允许评估所有的流动特性，然后是有用的尺度半径和质量流率的估计时，在星系中心的大规模黑洞吸积建模。作为一个应用程序，我们量化的偏离真实的质量吸积率的估计获得的气体性质在不同的距离MBH，经典的邦迪吸积的假设下。
英文摘要：
The fully analytical solution for isothermal Bondi accretion on a black hole (MBH) at the center of two-component Jaffe (1983) galaxy models is presented. In a previous work we provided the analytical expressions for the critical accretion parameter and the radial profile of the Mach number in the case of accretion on a MBH at the center of a spherically symmetric one-component Jaffe galaxy model. Here we apply this solution to galaxy models where both the stellar and total mass density distributions are described by the Jaffe profile, with different scale-lengths and masses, and to which a central MBH is added. For such galaxy models all the relevant stellar dynamical properties can also be derived analytically (Ciotti & Ziaee Lorzad 2018). In these new models the hydrodynamical and stellar dynamical properties are linked by imposing that the gas temperature is proportional to the virial temperature of the galaxy stellar component. The formulae that are provided allow to evaluate all flow properties, and are then useful for estimates of the scale-radius and the mass flow rate when modeling accretion on massive black holes at the center of galaxies. As an application, we quantify the departure from the true mass accretion rate of estimates obtained using the gas properties at various distances from the MBH, under the hypothesis of classical Bondi accretion.
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