A new theoretical approach to the modelling of toroidal Pc5 pulsations

Physics

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Dynamic Models, Geomagnetic Pulsations, Toroidal Plasmas, Field Aligned Currents, Magnetic Dipoles, Magnetic Flux, Magnetohydrodynamic Waves, Magnetospheric Instability, Mass Distribution, Parallel Plates, Plasma Conductivity, Transmission Lines

Scientific paper

A model is presented of a longitudinally limited toroidal mode. The formulation permits an examination of the consequences of variations in the plasma mass distribution both along and perpendicular to the magnetic field lines, the nonequality of the Northern and Southern Hemisphere height integrated Pedersen conductivities, and the possible loading by the generation circuit. A dipole geomagnetic field is assumed for field lines located near the equator by two sheets of field-aligned current flow. The sheets are considered as plates of a parallel plates transmission line. The distributed parameters are obtained, as well as the phase velocity on the transmission line, which is everywhere equal to the Alfven velocity. The resonant circuit is defined, and the excitation comes from either a voltage or current generator feeding the equatorial point of the transmission line through an appropriate impedance. Results are derived for both transient and steady states.

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