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首页> 外文期刊>The Astrophysical Journal. Supplement Series >Studies of thermally unstable accretion disks around black holes with adaptive pseudospectral domain decomposition method. II. Limit-cycle behavior in accretion disks around kerr black holes
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Studies of thermally unstable accretion disks around black holes with adaptive pseudospectral domain decomposition method. II. Limit-cycle behavior in accretion disks around kerr black holes

机译：用自适应伪谱域分解方法研究黑洞周围的热不稳定吸积盘。二。 kerr黑洞周围的吸积盘中的极限循环行为

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For the first time ever, we derive equations governing the time evolution of fully relativistic slim accretion disks in the Kerr metric and numerically construct their detailed non-stationary models. We discuss applications of these general results to a possible limit-cycle behavior of thermally unstable disks. Our equations and numerical method are applicable in a wide class of possible viscosity prescriptions, but in this paper we use a diffusive form of the "standard alpha prescription" that assumes that the viscous torque is proportional to the total pressure. In this particular case, we find that the parameters that dominate the limit-cycle properties are the mass-supply rate and the value of the alpha-viscosity parameter. Although the duration of the cycle (or the outburst) does not exhibit any clear dependence on the black hole spin, the maximal outburst luminosity (in the Eddington units) is positively correlated with the spin value. We suggest a simple method for a rough estimate of the black hole spin based on the maximal luminosity and the ratio of outburst to cycle durations. We also discuss a temperature-luminosity relation for the Kerr black hole accretion disk limit cycle. Based on these results, we discuss the limit-cycle behavior observed in microquasar GRS 1915+105. We also extend this study to several non-standard viscosity prescriptions, including a "delayed heating" prescription recently addressed by the MHD simulations of accretion disks.
机译：有史以来第一次，我们推导了用克尔（Kerr）度量值控制完全相对论纤细吸积盘的时间演化的方程式，并用数值方法构建了它们的详细非平稳模型。我们讨论了这些一般结果在热不稳定磁盘可能的极限循环行为中的应用。我们的方程式和数值方法适用于各种可能的粘度配方，但是在本文中，我们使用“标准α配方”的扩散形式，假定粘性扭矩与总压力成正比。在这种特殊情况下，我们发现控制极限循环特性的参数是质量供给速率和alpha粘度参数的值。尽管循环的持续时间（或爆发）对黑洞旋转没有明显的依赖性，但是最大爆发光度（以Eddington单位）与旋转值正相关。我们建议一种基于最大光度和爆发与周期持续时间的比率来粗略估计黑洞自旋的简单方法。我们还讨论了Kerr黑洞吸积盘极限循环的温度-光度关系。基于这些结果，我们讨论了在微类星体GRS 1915 + 105中观察到的极限循环行为。我们还将这项研究扩展到了几种非标准粘度配方，包括最近由吸积盘的MHD模拟解决的“延迟加热”配方。

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