Paradoxes of magnetorotational instability and their geometrical resolution

Details Paradoxes of magnetorotational instability and their geometrical resolution Paradoxes of magnetorotational instability and their geometrical resolution

2011-04-04

arxiv.org/abs/1104.0677v2

Physical Review E 84, 036304 (2011)

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

4 pages, 3 figures, refs added

Scientific paper

10.1103/PhysRevE.84.036304

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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