径向粘性力作用下磁化对流占优圆盘的局部稳定性
The local stability of the magnetized advection-dominated discs with the radial viscous force
摘要：
本文利用线性扰动分析方法研究了具有纯环形磁场和径向粘性力的对流占优光学厚（薄）盘和光学薄盘的局部稳定性。我们的色散关系表明，磁场和径向粘性力的存在不会引起任何新的不稳定模式。然而，我们发现，在超薄光盘的热模式的增长率和在超薄和光学薄光盘的声学模式的径向粘性力的影响显着。这种力倾向于强烈地降低在短波长极限处向外传播的声学模式（O模式）的增长率，但是它导致薄盘变得热更不稳定。我们发现，在径向粘性力的存在下，热模的增长率增加。当粘度参数较大时，这种增强更为显著。我们还发现，当考虑径向粘性力时，O模的增长率降低。热模和声模的增长率依赖于磁场。虽然在较强磁场的情况下，O模的不稳定性具有较高的增长率，但当磁场较强时，薄圆盘的热模可以被抑制。磁化圆盘的惯性声学不稳定性可以解释黑洞的准周期振荡（QPO）。
英文摘要：
We study local stability of the advection-dominated optically thick (slim) and optically thin discs with purely toroidal magnetic field and the radial viscous force using a linear perturbation analysis. Our dispersion relation indicates that the presence of magnetic fields and radial viscous force cannot give rise to any new mode of the instability. We find, however, that growth rate of the thermal mode in the slim discs and that of the acoustic modes in the slim and optically thin discs are dramatically affected by the radial viscous force. This force tends to strongly decrease the growth rate of the outward-propagating acoustic mode (O-mode) at the short-wavelength limit, but it causes a slim disc to become thermally more unstable. We find that growth rate of the thermal mode increases in the presence of radial viscous force. This enhancement is more significant when the viscosity parameter is large. We also show that growth rate of the O-mode reduces when radial viscous force is considered. The growth rates of the thermal and acoustic modes depend on the magnetic field. Although the instability of O-mode for a stronger magnetic field case has a higher growth rate, the thermal mode of the slim discs can be suppressed when the magnetic field is strong. The inertial-acoustic instability of a magnetized disc may explain the quasi-periodic oscillations (QPOs) from the black holes.
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