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

Тип публикации: статья из журнала

Год издания: 2010

Идентификатор DOI: 10.1063/1.3439687

Ключевые слова: Current sheets, Eigen frequencies, Eigenfrequency, Gradient mechanism, Hall magnetohydrodynamics, Linear variation, Magnetic field components, Wave modes, Wave numbers, Doppler effect, Electric currents, Electric power supplies to apparatus, Gyrators, Hall effect, Hyperbolic functions, Magnetic fields, Magnetic materials, Magnetohydrodynamics, Wave propagation, Electric current measurement

Аннотация: 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. (C) 2010 American Institute of Physics. [doi:10.1063/1.3439687]

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Издание

Журнал: PHYSICS OF PLASMAS

Выпуск журнала: Vol. 17, Is. 6

ISSN журнала: 1070664X

Место издания: MELVILLE

Издатель: AMER INST PHYSICS

Авторы

  • Erkaev N.V. (SB RAS, Inst Computat Modelling, Krasnoyarsk, Russia; Siberian Fed Univ, Krasnoyarsk, Russia)
  • Semenov V.S. (St Petersburg State Univ, Inst Phys, St Petersburg, Russia)
  • Biernat H.K. (Austrian Acad Sci, Space Res Inst, A-8042 Graz, Austria; Graz Univ, Inst Phys, Graz, Austria)

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