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Euler potentials for two current sheets of nonzero thickness along ambient uniform magnetic field
Author(s) -
Vandas M. I.,
Romashets E. P.
Publication year - 2014
Publication title -
journal of geophysical research: space physics
Language(s) - English
Resource type - Journals
eISSN - 2169-9402
pISSN - 2169-9380
DOI - 10.1002/2013ja019604
Subject(s) - antiparallel (mathematics) , euler's formula , current (fluid) , magnetic field , mirroring , current sheet , field (mathematics) , line (geometry) , physics , condensed matter physics , mechanics , zero (linguistics) , mathematical analysis , classical mechanics , mathematics , geometry , pure mathematics , quantum mechanics , magnetohydrodynamics , communication , sociology , thermodynamics , linguistics , philosophy
Euler potentials of two current sheets of nonzero thickness parallel or antiparallel to each other and aligned with a uniform ambient magnetic field are constructed analytically. The results generalize ones obtained earlier for systems of two line currents and of two current sheets with zero thickness. Conditions for particle mirroring in this field structure are investigated. The results can be applied to Birkeland currents.