Abstract
Reduced linear equations of magnetohydrodynamics in high-aspect-ratio toroidal devices are derived, which are intended, first of all, for studying the Alfvén 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 Alfvén 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 Alfvén and slow magnetoacoustic waves, which, to a large extent, determines the behavior of the waves of interest.
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