The Velikhov and anti-Velikhov effects in the theory of magnetorotational instability
- Russian Research Centre Kurchatov Institute, Institute of Nuclear Fusion (Russian Federation)
- Syzran Branch of Samara State Technical University (Russian Federation)
- Nodia Institute of Geophysics Georgian Academy of Sciences (Georgia)
A theory of magnetorotational instability (MRI) allowing an equilibrium plasma pressure gradient and nonaxisymmetry of perturbations is developed. This approach reveals that in addition to the Velikhov effect driving the MRI due to negative rotation frequency profile, d{theta}{sup 2}/dr < 0, there is an opposite effect (the anti-Velikhov effect) weakening this driving (here, {theta} is the rotation frequency and r is the radial coordinate). It is shown that in addition to the Velikhov mechanism, two new mechanisms of MRI driving are possible, one of which is due to the pressure gradient squared and the other is due to the product of the pressure and density gradients. The analysis includes both the one-fluid magnetohydrodynamic plasma model and the kinetics allowing collisionless effects. In addition to the pure plasma containing ions and electrons, the dusty plasma is considered. The charged dust effect on stability is analyzed using the approximation of immobile dust. In the presence of dust, a term with the electric field appears in the one-fluid equation of plasma motion. This electric field affects the equilibrium plasma rotation and also gives rise to a family of instabilities of the rotating plasma, called the dust-induced rotational instabilities.
- OSTI ID:
- 21241868
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 107, Issue 6; Other Information: DOI: 10.1134/S1063776108120157; Copyright (c) 2008 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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