Finite wavelength stability of the bumpy theta pinch
Abstract
The stability of the bumpy theta pinch is of importance, not only because of its relevance to the Scyllac experiment but also because in any magnetic confinement scheme the use of (discrete) magnetic coils necessarily introduces bumpiness in the applied field. The long wavelength stability has been considered by Weitzner (1973) who performed a double perturbation expansion on the linearized equations of ideal MHD: first in epsilon (characterizing the long wavelength or the modes) then in delta (characterizing the bumpiness of the field lines). This paper examines the stability of the finite wavelength modes by expanding (only) in the small bumpiness parameter delta. Currents flow only in the ignorable theta direction.
 Publication:

Pulsed High Beta Plasmas
 Pub Date:
 1976
 Bibcode:
 1976phbp.proc..295C
 Keywords:

 Magnetic Control;
 Magnetohydrodynamic Stability;
 Plasma Control;
 Theta Pinch;
 Wavelengths;
 Flow Equations;
 Frequency Stability;
 Linearization;
 Magnetic Coils;
 Modal Response;
 Perturbation Theory;
 Plasma Physics