Dispersion relations in the electrostatic approximation for waves in a magnetic neutral sheet

Computer Science

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Approximation, Electrostatic Waves, Neutral Sheets, Plasma Waves, Wave Dispersion, Current Sheets, Electron Distribution, Electron Trajectories, Nonadiabatic Conditions, Plasma Oscillations

Scientific paper

Dispersion equations in the electrostatic approximation are derived for waves propagating near the center of a magnetic neutral sheet system. The unperturbed equilibrium is based on the Alfven-Cowley neutral sheet model, in which the sheet current is carried by accelerated non-adiabatic electrons oscillating about the field reversal, and moving through a cold neutralizing ion background. Detailed account is taken of the non-adiabatic nature of the electron motion. It is also recognized that the zeroth order electron distribution may differ significantly from a convecting isotropic Maxwellian. A companion paper presents a detailed numerical study of the dispersion relations derived here.

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