Discrete Alfvén waves in planar flux tubes. (English) Zbl 0601.76131
Properties of discrete Alfvén wave modes are derived, at frequencies up to the ion-cyclotron frequency, for current-carrying plasma slabs with non-uniform densities. It is shown that the essential features of the dispersion relations can be derived by examining the dominant terms in the ’potential’ function, when the wave equation is cast in the Schrödinger equation form. Analytical predictions for a class of mass and current density profiles are compared with numerically calculated dispersion relations and wavefields for particular profiles.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 35J10 | Schrödinger operator, Schrödinger equation |
| 76M99 | Basic methods in fluid mechanics |
Keywords:
discrete Alfvén wave modes; ion-cyclotron frequency; current-carrying plasma slabs with non-uniform densities; dispersion relations; Schrödinger equation; Analytical predictions for a class of mass and current density profilesReferences:
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