Nondissipative saturation of the magnetorotational instability in thin disks

Edward Liverts, Yuri Shtemler, Michael Mond, Orkan M. Umurhan, Dmitry V. Bisikalo

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


A new nondissipative mechanism is proposed for the saturation of the axisymmetric magnetorotational (MRI) instability in thin Keplerian disks that are subject to an axial magnetic field. That mechanism relies on the energy transfer from the MRI to stable magnetosonic waves. Such mode interaction is enabled due to the vertical stratification of the disk that results in the discretization of its MRI spectrum, as well as by applying the appropriate boundary conditions. A second order Duffing-like amplitude equation for the initially unstable MRI modes is derived. The solutions of that equation exhibit bursty nonlinear oscillations with a constant amplitude that signifies the saturation level of the MRI. Those results are verified by a direct numerical solution of the full nonlinear reduced set of thin disk magnetohydrodynamics equations.

Original languageEnglish
Article number224501
JournalPhysical Review Letters
Issue number22
StatePublished - 28 Nov 2012

ASJC Scopus subject areas

  • General Physics and Astronomy


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