Contributions to the theory of magnetorotational instability and waves in a rotating plasma
Abstract
The onefluid magnetohydrodynamic (MHD) theory of magnetorotational instability (MRI) in an ideal plasma is presented. The theory predicts the possibility of MRI for arbitrary {beta}, where {beta} is the ratio of the plasma pressure to the magnetic field pressure. The kinetic theory of MRI in a collisionless plasma is developed. It is demonstrated that as in the ideal MHD, MRI can occur in such a plasma for arbitrary {beta}. The mechanism of MRI is discussed; it is shown that the instability appears because of a perturbed parallel electric field. The electrodynamic description of MRI is formulated under the assumption that the dispersion relation is expressed in terms of the permittivity tensor; general properties of this tensor are analyzed. It is shown to be separated into the nonrotational and rotational parts. With this in mind, the first step for incorporation of MRI into the general theory of plasma instabilities is taken. The rotation effects on Alfven waves are considered.
 Authors:
 Russian Research Centre Kurchatov Institute, Institute of Nuclear Fusion (Russian Federation), Email: abmikh@list.ru
 Georgian National Astrophysical Observatory (Georgia), Email: j.lominadze@astroge.org
 Syzran Branch of Samara Technical University (Russian Federation)
 Brazilian Center for Physics Research (Brazil)
 Russian Research Centre Kurchatov Institute, Institute of Nuclear Fusion (Russian Federation)
 Russian Academy of Sciences, Space Research Institute (Russian Federation)
 National Academy of Sciences of Ukraine, Institute of Physics (Ukraine)
 Russian Academy of Sciences, Pulkovo Observatory (Russian Federation)
 University of Sydney, School of Physics (Australia)
 Publication Date:
 OSTI Identifier:
 21075624
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 106; Journal Issue: 1; Other Information: DOI: 10.1007/s1144700810134; Copyright (c) 2008 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALFVEN WAVES; COLLISIONLESS PLASMA; DISPERSION RELATIONS; ELECTRIC FIELDS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; PERMITTIVITY; PLASMA INSTABILITY; PLASMA PRESSURE; ROTATING PLASMA; TENSORS
Citation Formats
Mikhailovskii, A. B., Lominadze, J. G., Churikov, A. P., Tsypin, V. S., Erokhin, N. N., Erokhin, N. S., Konovalov, S. V., Pashitskii, E. A., Stepanov, A. V., Vladimirov, S. V., and Galvao, R. M. O. Contributions to the theory of magnetorotational instability and waves in a rotating plasma. United States: N. p., 2008.
Web. doi:10.1007/S1144700810134.
Mikhailovskii, A. B., Lominadze, J. G., Churikov, A. P., Tsypin, V. S., Erokhin, N. N., Erokhin, N. S., Konovalov, S. V., Pashitskii, E. A., Stepanov, A. V., Vladimirov, S. V., & Galvao, R. M. O. Contributions to the theory of magnetorotational instability and waves in a rotating plasma. United States. doi:10.1007/S1144700810134.
Mikhailovskii, A. B., Lominadze, J. G., Churikov, A. P., Tsypin, V. S., Erokhin, N. N., Erokhin, N. S., Konovalov, S. V., Pashitskii, E. A., Stepanov, A. V., Vladimirov, S. V., and Galvao, R. M. O. 2008.
"Contributions to the theory of magnetorotational instability and waves in a rotating plasma". United States.
doi:10.1007/S1144700810134.
@article{osti_21075624,
title = {Contributions to the theory of magnetorotational instability and waves in a rotating plasma},
author = {Mikhailovskii, A. B. and Lominadze, J. G. and Churikov, A. P. and Tsypin, V. S. and Erokhin, N. N. and Erokhin, N. S. and Konovalov, S. V. and Pashitskii, E. A. and Stepanov, A. V. and Vladimirov, S. V. and Galvao, R. M. O.},
abstractNote = {The onefluid magnetohydrodynamic (MHD) theory of magnetorotational instability (MRI) in an ideal plasma is presented. The theory predicts the possibility of MRI for arbitrary {beta}, where {beta} is the ratio of the plasma pressure to the magnetic field pressure. The kinetic theory of MRI in a collisionless plasma is developed. It is demonstrated that as in the ideal MHD, MRI can occur in such a plasma for arbitrary {beta}. The mechanism of MRI is discussed; it is shown that the instability appears because of a perturbed parallel electric field. The electrodynamic description of MRI is formulated under the assumption that the dispersion relation is expressed in terms of the permittivity tensor; general properties of this tensor are analyzed. It is shown to be separated into the nonrotational and rotational parts. With this in mind, the first step for incorporation of MRI into the general theory of plasma instabilities is taken. The rotation effects on Alfven waves are considered.},
doi = {10.1007/S1144700810134},
journal = {Journal of Experimental and Theoretical Physics},
number = 1,
volume = 106,
place = {United States},
year = 2008,
month = 1
}

The onefluid magnetohydrodynamic (MHD) theory of magnetorotational instability (MRI) in an ideal plasma is presented. The theory predicts the possibility of MRI for arbitrary {beta}, where {beta} is the ratio of the plasma pressure to the magnetic field pressure. The kinetic theory of MRI in a collisionless plasma is developed. It is demonstrated that as in the ideal MHD, MRI can occur in such a plasma for arbitrary {beta}. The mechanism of MRI is discussed; it is shown that the instability appears because of a perturbed parallel electric field. The electrodynamic description of MRI is formulated under the assumption thatmore »

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