剪切流对慢磁声波的放大：吸积盘的加热和摩擦机制
Amplification of Slow Magnetosonic Waves by Shear Flow: Heating and Friction Mechanisms of Accretion Disks
摘要：
研究了不可压缩流体均匀剪切流中三维磁声波的传播。所有的磁流体力学变量的解析解给出了合流Heun函数。这个问题被减少到寻找一个有效的薛定谔方程的解决方案。详细分析了慢磁声波的放大效应。导出了放大系数的简单公式。速度切变主要影响慢磁声波的不可压缩极限。在长波长范围内，慢磁声波的放大作用非常强。结果表明，这些波的放大导致放大的湍流。在Kolmogorov湍流框架下导出了吸积盘中摩擦的Shakura-Sunyaev唯象。这些发现可能是解释类星体光度异常等离子体加热的关键。指出波放大是吸积盘中自持湍流的关键。
英文摘要：
Propagation of three dimensional magnetosonic waves is considered for a homogeneous shear flow of an incompressible fluid. The analytical solutions for all magnetohydrodynamic variables are presented by confluent Heun functions. The problem is reduced to finding a solution of an effective Schroedinger equation. The amplification of slow magnetosonic waves is analyzed in great details. A simple formula for the amplification coefficient is derived. The velocity shear primarily affects the incompressible limit of slow magnetosonic waves. The amplification is very strong for slow magnetosonic waves in the long-wavelength limit. It is demonstrated that the amplification of those waves leads to amplification of turbulence. The phenomenology of Shakura-Sunyaev for the friction in accretion disks is derived in the framework of the Kolmogorov turbulence. The presented findings may be the key to explaining the anomalous plasma heating responsible for the luminosity of quasars. It is suggested that wave amplification is the keystone of the self-sustained turbulence in accretion disks.
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