A closed nonlinear model of wave-particle interactions in the outer trapping and morningside auroral regions

Mathematics – Logic

Scientific paper

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Auroral Zones, Particle Precipitation, Plasma Waves, Plasma-Particle Interactions, Modulation, Morning, Nonlinear Equations

Scientific paper

A closed system of three nonlinear coupled equations, phenomenologically describing the source and loss mechanisms for waves and particles in the outer trapping and morningside auroral regions, is presented. The behavior of the system is examined in the linearized approximation of small amplitude perturbations to define the parameter space regions where oscillatory or growing solutions appear. It is shown that auroral electron precipitation pulsations at a frequency of about 0.1 Hz can occur in a limited region where oscillatory solutions are found with a characteristic frequency of about 3 Hz which might appear as a modulation of the particle precipitation flux. Other growing solutions are found with characteristic periods so long that they are considered to be not important in the outer trapping regions which are disturbed by substorms at intervals of hours to days. Spatial scales are not set by the coupled equations but must be determined by external influences.

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