Continuous spectra of a cylindrical magnetohydrodynamic equilibrium: The derivation
The system of two first-order spatial differential equations describing small-amplitude harmonic motions in a cylindrical equilibrium of a perfectly conducting plasma is derived from the basic set of the linear ideal magnetohydrodynamic equations. Enough details of the derivation are given to prove explicitly that the system earlier derived by the authors (Phys Fluids, 17, 1471 (1974)) is complete and that the frequency spectrum of the motions contains at most two continua, thereby contradicting a recent publication of Lashmore-Davies, Thyagaraja and Cairns (Physics of Plasmas, 4, 3243 (1997)).
Bibliographic Reference: Article: Physics of Plasmas
Record Number: 199810611 / Last updated on: 1998-05-12
Original language: en
Available languages: en