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Title: Magnetorotational stability in a self-consistent three dimensional axisymmetric magnetized warm plasma equilibrium with a gravitational field

Abstract

Magnetorotational stability is revisited for self-consistent three-dimensional magnetized hot plasma equilibria in a gravitational field. The eikonal analysis presented finds that magnetorotational stability analysis must be performed with some care to retain compressibility and density gradient effects, and departures from strict Keplerian motion. Indeed, retaining these effects highlights differences between the magnetorotational instability found in the absence of gravity (Velikhov,Sov. Phys. JETP, vol. 36, 1959, pp. 995–998) and that found the presence of gravity (Balbus & Hawley,Astrophys. J., vol. 376, 1991, pp. 214–222). In the non-gravitational case, compressibility and density variation alter the stability condition, while these effects only enter for departures from strict Keplerian motion in a gravitational field. The conditions for instability are made more precise by employing recent magnetized equilibrium results (Cattoet al.,J. Plasma Phys., vol. 81, 2015, 515810603), rather than employing a hydrodynamic equilibrium. We focus on the stability of the$$\unicode[STIX]{x1D6FD}>1$$limit for which equilibria were found in the absence of a toroidal magnetic field, where$$\unicode[STIX]{x1D6FD}=$$ plasma/magnetic pressure.

Authors:
;
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1534393
DOE Contract Number:  
FG02-04ER54739; FG02-91ER54109
Resource Type:
Journal Article
Journal Name:
Journal of Plasma Physics
Additional Journal Information:
Journal Volume: 82; Journal Issue: 5; Journal ID: ISSN 0022-3778
Publisher:
Cambridge University Press
Country of Publication:
United States
Language:
English
Subject:
Physics

Citation Formats

Catto, Peter J., and Krasheninnikov, Sergei I. Magnetorotational stability in a self-consistent three dimensional axisymmetric magnetized warm plasma equilibrium with a gravitational field. United States: N. p., 2016. Web. doi:10.1017/s0022377816000854.
Catto, Peter J., & Krasheninnikov, Sergei I. Magnetorotational stability in a self-consistent three dimensional axisymmetric magnetized warm plasma equilibrium with a gravitational field. United States. doi:10.1017/s0022377816000854.
Catto, Peter J., and Krasheninnikov, Sergei I. Sat . "Magnetorotational stability in a self-consistent three dimensional axisymmetric magnetized warm plasma equilibrium with a gravitational field". United States. doi:10.1017/s0022377816000854.
@article{osti_1534393,
title = {Magnetorotational stability in a self-consistent three dimensional axisymmetric magnetized warm plasma equilibrium with a gravitational field},
author = {Catto, Peter J. and Krasheninnikov, Sergei I.},
abstractNote = {Magnetorotational stability is revisited for self-consistent three-dimensional magnetized hot plasma equilibria in a gravitational field. The eikonal analysis presented finds that magnetorotational stability analysis must be performed with some care to retain compressibility and density gradient effects, and departures from strict Keplerian motion. Indeed, retaining these effects highlights differences between the magnetorotational instability found in the absence of gravity (Velikhov,Sov. Phys. JETP, vol. 36, 1959, pp. 995–998) and that found the presence of gravity (Balbus & Hawley,Astrophys. J., vol. 376, 1991, pp. 214–222). In the non-gravitational case, compressibility and density variation alter the stability condition, while these effects only enter for departures from strict Keplerian motion in a gravitational field. The conditions for instability are made more precise by employing recent magnetized equilibrium results (Cattoet al.,J. Plasma Phys., vol. 81, 2015, 515810603), rather than employing a hydrodynamic equilibrium. We focus on the stability of the$\unicode[STIX]{x1D6FD}>1$limit for which equilibria were found in the absence of a toroidal magnetic field, where$\unicode[STIX]{x1D6FD}=$ plasma/magnetic pressure.},
doi = {10.1017/s0022377816000854},
journal = {Journal of Plasma Physics},
issn = {0022-3778},
number = 5,
volume = 82,
place = {United States},
year = {2016},
month = {10}
}