Spectrum of ideal magnetohydrodynamics of axisymmetric toroidal systems
Abstract
The spectrum of ideal magnetohydrodynamics in toroidal systems is shown to concentrate around three continua where the singular fast, the Alfvén, and the slow modes become polarized purely normal and purely tangential to the magnetic surfaces. A new toroidal effect is encountered, viz., coupling of the Alfvén and slow continuum modes by the presence of geodesic curvature. Due to this effect the slow and Alfvén modes are no longer polarized purely parallel and purely perpendicular to the field lines as they are in the case of the diffuse linear pinch. The pure polarizations of these continuum modes are only found asymptotically when ω^{2}→∞, which point turns out to be a clusterpoint of all three kinds of magnetohydrodynamic modes characterizing each of them uniquely.
 Publication:

Physics of Fluids
 Pub Date:
 October 1975
 DOI:
 10.1063/1.861012
 Bibcode:
 1975PhFl...18.1258G
 Keywords:

 Axisymmetric Flow;
 Magnetohydrodynamic Stability;
 Perturbation Theory;
 Plasma Diffusion;
 Toroidal Plasmas;
 Boundary Value Problems;
 Continuous Spectra;
 Equations Of Motion;
 Partial Differential Equations;
 Plasma Pinch;
 Plasma Physics