Open AccessEuler potentials for two line currents aligned with an ambient uniform magnetic field
Author(s) -
Romashets E. P.,
Vandas M.
Publication year - 2011
Publication title -
journal of geophysical research: space physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2011ja016595
Subject(s) - antiparallel (mathematics) , euler's formula , magnetic field , physics , line (geometry) , magnetosphere particle motion , field line , plasma , field (mathematics) , classical mechanics , computational physics , mechanics , mathematical analysis , geometry , mathematics , quantum mechanics , pure mathematics
Euler potentials of two line currents parallel or antiparallel to each other and aligned with a uniform ambient magnetic field are constructed. Explicit expressions for magnetic field lines are found. The solution is applied for study of bouncing motion of particles trapped between mirror points of this field structure. The result can be applied to Birkeland currents and also to laboratory plasma experiments.