Hall magnetohydrodynamic effects for current sheet flapping oscillations related to the magnetic double gradient mechanism

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3439687· OSTI ID:21378008

Erkaev, N V ^[1]; Semenov, V S ^[2]; Biernat, H K ^[3]

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1. Institute of Computational Modelling, SB RAS, and Siberian Federal University, Krasnoyarsk (Russian Federation)
2. Institute of Physics, State University of St. Petersburg, St. Petersburg (Russian Federation)
3. Space Research Institute, Austrian Academy of Sciences, Graz A-8042, Austria and Institute of Physics, University of Graz, Graz (Austria)

Hall magnetohydrodynamic model is investigated for current sheet flapping oscillations, which implies a gradient of the normal magnetic field component. For the initial undisturbed current sheet structure, the normal magnetic field component is assumed to have a weak linear variation. The profile of the electric current velocity is described by hyperbolic functions with a maximum at the center of the current sheet. In the framework of this model, eigenfrequencies are calculated as functions of the wave number for the ''kink'' and ''sausage'' flapping wave modes. Because of the Hall effects, the flapping eigenfrequency is larger for the waves propagating along the electric current, and it is smaller for the opposite wave propagation with respect to the current. The asymmetry of the flapping wave propagation, caused by Hall effects, is pronounced stronger for thinner current sheets. This is due to the Doppler effect related to the electric current velocity.

• OSTI ID: 21378008
• Journal Information: Physics of Plasmas, Vol. 17, Issue 6; Other Information: DOI: 10.1063/1.3439687; (c) 2010 American Institute of Physics; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DOPPLER EFFECT
EIGENFREQUENCY
EIGENFUNCTIONS
EIGENVALUES
ELECTRIC CURRENTS
HYDROMAGNETIC WAVES
KINK INSTABILITY
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
OSCILLATIONS
PLASMA
SAUSAGE INSTABILITY
WAVE PROPAGATION
CURRENTS
FLUID MECHANICS
FUNCTIONS
HYDRODYNAMICS
INSTABILITY
MECHANICS
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES