Global axisymmetric Magnetorotational Instability with density gradients

Abstract

We examine global incompressible axisymmetric perturbations of a differentially rotating MHD plasma with radial density gradients. It is shown that the standard magnetorotational instability, (MRI) criterion drawn from the local dispersion relation is often misleading. If the equilibrium magnetic field is either purely axial or purely toroidal, the problem reduces to finding the global radial eigenvalues of an effective potential. The standard Keplerian profile including the origin is mathematically ill-posed, and thus any solution will depend strongly on the inner boundary. We find a class of unstable modes localized by the form of the rotation and density profiles, with reduced dependence on boundary conditions.

22 pages, 5 figures

References in corpus (5)

• The Magnetorotational Instability in Core Collapse Supernova Explosions
• Global MHD Simulations of Cylindrical Keplerian Disks
• Magnetorotational instability of dissipative Couette flow
• The traveling wave MRI in cylindrical Taylor-Couette flow: comparing wavelengths and speeds in theory and experiment
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Cited by in corpus (5)

• The Role of the Magnetorotational Instability in Massive Stars
• Evolution of the Magnetized, Neutrino-Cooled Accretion Disk in the Aftermath of a Black Hole Neutron Star Binary Merger
• A generalized effective potential for differentially rotating plasmas
• Non-ideal stability analysis of differentially rotating plasmas with global curvature effects
• Spectrum of Global Magnetorotational Instability in a Narrow Transition Layer