The Velikhov-Chandrasekhar paradox in magnetorotational instability and related phenomena


The Velikhov-Chandrasekhar paradox in magnetorotational instability and related phenomena

Kirillov, O.; Stefani, F.

The magnetorotational instability (MRI) triggers turbulence and enables outward transport of angular momentum in hydrodynamically stable rotating shear flows, e.g., in accretion disks. What laws of differential rotation are susceptible to the destabilization by the axial or helical magnetic field? The answer to this question, which is vital for astrophysical and experimental applications, inevitably leads to the study of spectral and geometrical singularities on the instability threshold. The singularities provide a connection between seemingly discontinuous stability criteria and thus explain several paradoxes in the theory of MRI that were kept poorly understood since 1950s.

Keywords: Magnetorotational instability; helical magnetorotational instability; inductionless HMRI; Rossby number; Pluecker conoid; instability threshold

  • Invited lecture (Conferences)
    SPT 2011, Symmetry and Perturbation Theory, 05.-12.06.2011, Otranto near Lecce, Italy

Permalink: https://www.hzdr.de/publications/Publ-15810
Publ.-Id: 15810