1984
DOI: 10.1029/ja089ia05p02881
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An energy principle for high‐latitude electrodynamics

Abstract: A theoretical model for mid‐ and high‐latitude electric fields and currents is constructed using Fourier analysis methods. A two‐dimensional planar ionosphere with an enhanced conductivity auroral belt and field‐aligned currents at the edges is employed. The postulate that the electric field and currents adjust self‐consistently to minimize the global Joule dissipation rate defines a theoretical relation between the primary and secondary field‐aligned currents. This so‐called minimal dissipation configuration … Show more

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Cited by 13 publications
(12 citation statements)
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“…6), showed that the Birkeland peak current densities in the simulation are located on average ∼5 • poleward of their observed location. We suggest that the magnetosphereionosphere system in the simulation reacts to the significant under-representation of the Region-2 currents by displacing the Region-1 current system poleward in an attempt to minimize the energy dissipation in the ionosphere (Barbosa, 1984).…”
Section: Birkeland Current Distributionsmentioning
confidence: 99%
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“…6), showed that the Birkeland peak current densities in the simulation are located on average ∼5 • poleward of their observed location. We suggest that the magnetosphereionosphere system in the simulation reacts to the significant under-representation of the Region-2 currents by displacing the Region-1 current system poleward in an attempt to minimize the energy dissipation in the ionosphere (Barbosa, 1984).…”
Section: Birkeland Current Distributionsmentioning
confidence: 99%
“…where B is the magnetic field vector (Baumjohann and Treumann, 1997). By examining the current flowing through circles of constant latitude one can determine the partitioning of the Region-1 current closure in the simulation domain.…”
Section: Simulation Current Closurementioning
confidence: 99%
“…The ionospheric conductivity models for the following calculations of the convection electric field are given in Table 1 The first model produces a pattern (Figure 2a) that is similar to those described by Barbosa [1984b]. The electric field distribution is very distorted over the polar cap, and the symmetry axis is skewed away from the dawn-dusk meridian toward noon so that the loci of the two major cells occur just after noon and midnight.…”
Section: Introductionmentioning
confidence: 79%
“…In a previous work it was shown that if the region 1 current is treated as a driving source for the coupled magnetosphereionosphere convection system, then the perfect shielding configuration is the state of minimal Joule dissipation when region 2 currents are allowed to close through the magnetosphere via the ring current [Barbosa, 1984b]. Two major requirements for this result to hold are (1) that the ionospheric gradient in the height-integrated Hall conductivity across auroral oval boundaries (referred to as the Hall discontinuity) is zero and (2) that the current flow through the ring current circuit is dissipationless, thereby providing a loss-free shunt of the region 2 current from the dawnside to the duskside.…”
Section: Introductionmentioning
confidence: 99%
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