Mathematical model of generation of electric fields and currents in the magnetospheric tail

Mathematics

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Scientific paper

A mathematical model of the dissipative plasma layer incorporating viscous forces and field line reconnection effects is described. The behavior of plasma electric field and currents in the magnetospheric tail is analysed using exact model solutions. The electric potential associated with the reconnection magnetic fields is an outer parameter of the model that enters explicitly in all of the solutions. A method for the determination of the inner dissipative parameters (conductivity and Hartman number) is worked out and their values are found. A simple generalization of the model which includes ionospheric conductivity is proposed. The obtained solutions allow one to analyse qualitatively various processes in the nightside magnetosphere for various solar wind conditions. Conditions involving BZ southward (in enhanced reconnection) result in a simple electric field mapping. BZ northward conditions, however, allow for more complicated analytic solutions consistent with observations.

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