Mathematics – Logic
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jgr....9815373c&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 98, no. A9, p. 15,373-15,379.
Mathematics
Logic
Auroral Arcs, Electrostatics, Ionospheric Currents, Magnetosphere-Ionosphere Coupling, Convection, Electric Potential, Mathematical Models, Nonlinear Equations
Scientific paper
This paper describes modest but significant improvements on earlier studies of electrostatic potential structure in the auroral region, using the adiabatic auroral arc model. With certain simplifying assumptions, new analytic nonlinear solutions fully exhibiting the parametric dependence of potentials on magnetospheric (e.g., cross-tail potential) and ionospheric (e.g., recombination rate) parameters are found. No purely phenomenological parameters are introduced. The results are in reasonable agreement with observed average auroral potential drops, inverted-V scale sizes, and dissipation rates. The dissipation rate is quite comparable to tail energization and transport rates and should have a major effect on tail and magnetospheric dynamics. Various relations between the cross-tail potential and auroral parameters (e.g., total parallel currents and potential drops) are given which can be studied with existing data sets.
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