Linking dissipation-induced instabilities with nonmodal growth: The case of helical magnetorotational instability

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Linking dissipation-induced instabilities with nonmodal growth: The case of helical magnetorotational instability

G. Mamatsashvili and F. Stefani

Phys. Rev. E 94, 051203(R) – Published 23 November 2016

Abstract

The helical magnetorotational instability is known to work for resistive rotational flows with comparably steep negative or extremely steep positive shear. The corresponding lower and upper Liu limits of the shear are continuously connected when some axial electrical current is allowed to flow through the rotating fluid. Using a local approximation we demonstrate that the magnetohydrodynamic behavior of this dissipation-induced instability is intimately connected with the nonmodal growth and the pseudospectrum of the underlying purely hydrodynamic problem.

Received 21 April 2016

DOI:https://doi.org/10.1103/PhysRevE.94.051203

Physics Subject Headings (PhySH)

Magnetohydrodynamic waves Magnetohydrodynamics Plasma stability

Fluid DynamicsPlasma Physics

Authors & Affiliations

G. Mamatsashvili^1,2,3,* and F. Stefani^1,†

¹Helmholtz-Zentrum Dresden-Rossendorf, P.O. Box 510119, D-01314 Dresden, Germany
²Department of Physics, Faculty of Exact Natural Sciences, Tbilisi State University, Tbilisi 0179, Georgia
³Abastumani Astrophysical Observatory, Ilia State University, Tbilisi 0162, Georgia

^*g.mamatsashvili@hzdr.de
^†f.stefani@hzdr.de

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Issue

Vol. 94, Iss. 5 — November 2016

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