磁旋转不稳定性的参量及其几何分辨
Paradoxes of magnetorotational instability and their geometrical resolution
摘要：
磁旋转不稳定性（MRI）触发湍流，使流体动力学稳定的吸积盘的角动量向外传输。利用WKB近似和奇异函数理论的方法，我们解决了磁普朗特数为无穷大和为零时出现的两个不同的磁共振成像悖论。对于后一种情况，我们得到了一个新的严格限制的临界Rossby数。这个新的极限${\rm Ro_c}=-0.802$，它出现在一个有限的Lundquist数${\rm Lu}=0.618$，扩展了以前已知的无诱导刘极限${\rm Ro_c}=-0.828$有效的${\rm Lu}=0$。
英文摘要：
The magnetorotational instability (MRI) triggers turbulence and enables outward transport of angular momentum in hydrodynamically stable accretion discs. By using the WKB approximation and methods of singular function theory, we resolve two different paradoxes of MRI that appear in the limits of infinite and vanishing magnetic Prandtl number. For the latter case we derive a new strict limit of the critical Rossby number. This new limit of ${\rm Ro_c}=-0.802$, which appears for a finite Lundquist number of ${\rm Lu}=0.618$, extends the formerly known inductionless Liu limit of ${\rm Ro_c}=-0.828$ valid at ${\rm Lu}=0$.
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