Ideal magnetohydrodynamic equations for low-frequency waves in toroidal plasmas

Fesenyuk, O. P.; Kolesnichenko, Y. I.; Wobig, H.; Yakovenko, Y. V.

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Ideal magnetohydrodynamic equations for low-frequency waves in toroidal plasmas

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Wobig, H.
Stellarator Theory (ST), Max Planck Institute for Plasma Physics, Max Planck Society;
Experimental Plasma Physics 3 (E3), Max Planck Institute for Plasma Physics, Max Planck Society;

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Citation

Fesenyuk, O. P., Kolesnichenko, Y. I., Wobig, H., & Yakovenko, Y. V. (2002). Ideal magnetohydrodynamic equations for low-frequency waves in toroidal plasmas. Physics of Plasmas, 9(5), 1589-1595.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0027-411E-4

Abstract

Reduced linear equations of magnetohydrodynamics in high- aspect-ratio toroidal devices are derived, which are intended, first of all, for studying the Alfven eigenmodes in stellarators and tokamaks. The equations take into account the effects of the plasma pressure and compressibility, which are known to be of importance for toroidicity-induced Alfven eigenmodes, and are applicable to perturbations with arbitrary perpendicular wavelength. The reduction consists in eliminating high-frequency fast magnetoacoustic waves from the system and is shown not to affect the continuous spectrum of Alfven and slow magnetoacoustic waves, which, to a large extent, determines the behavior of the waves of interest. (C) 2002 American Institute of Physics.