Parallel inhomogeneity and the Alfven resonance. 1: Open field lines

Physics – Plasma Physics

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Boundary Layer Plasmas, Magnetic Field Configurations, Magnetohydrodynamic Waves, Plasma Density, Plasma Resonance, Boundary Layers, Plasma Dynamics, Plasma Physics, Poynting Theorem

Scientific paper

In light of a recent demonstration of the general nonexistence of a singularity at the Alfven resonance in cold, ideal, linearized magnetohydrodynamics, we examine the effect of a small density gradient parallel to uniform, open ambient magnetic field lines. To lowest order, energy deposition is quantitatively unaffected but occurs continuously over a thickened layer. This effect is illustrated in a numerical analysis of a plasma sheet boundary layer model with perfectly absorbing boundary conditions. Consequences of the results are discussed, both for the open field line approximation and for the ensuing closed field line analysis.

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