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Annales Geophysicae An open-access journal of the European Geosciences Union
Ann. Geophys., 34, 1165-1173, 2016
https://doi.org/10.5194/angeo-34-1165-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
Regular paper
13 Dec 2016
Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers
Marek Vandas1 and Eugene P. Romashets2 1Astronomical Institute of the Czech Academy of Sciences, Boční 1401, 14100 Prague 4, Czech Republic
2University Park, LSC, Houston, TX 77095, USA
Abstract. The Euler potentials for two current layers aligned to an ambient homogeneous magnetic field are found. Previous treatment of such a system assumed constant current density in the layers. However, the magnetic field becomes infinite at the edges. The new approach eliminates this inconsistency by introducing an inhomogeneous current density. Euler potentials are constructed semi-analytically for such a system. Charged-particle motion and trapping in it are examined by this representation. Using Euler potentials, the influence of current sheets of zero and non-zero thicknesses on energetic-particle fluxes is investigated, and characteristic flux variations near the sheets are presented. The results can be applied to Birkeland currents.

Citation: Vandas, M. and Romashets, E. P.: Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers, Ann. Geophys., 34, 1165-1173, https://doi.org/10.5194/angeo-34-1165-2016, 2016.
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Short summary
Magnetic field and motion of charged particles are examined near two parallel current sheets with non-uniformly distributed currents theoretically. Results can be applied to study of Birkeland currents which flow in the ionosphere along magnetic field lines and are connected to auroral phenomena.
Magnetic field and motion of charged particles are examined near two parallel current sheets...
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