Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers
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...
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Copernicus Publications
2016-12-01
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| Series: | Annales Geophysicae |
| Online Access: | https://www.ann-geophys.net/34/1165/2016/angeo-34-1165-2016.pdf |
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doaj-b6fd26470ca44182b844a3ae7e5beba72020-11-24T22:27:27ZengCopernicus PublicationsAnnales Geophysicae0992-76891432-05762016-12-01341165117310.5194/angeo-34-1165-2016Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layersM. Vandas0E. P. Romashets1Astronomical Institute of the Czech Academy of Sciences, Boční 1401, 14100 Prague 4, Czech RepublicUniversity Park, LSC, Houston, TX 77095, USAThe 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.https://www.ann-geophys.net/34/1165/2016/angeo-34-1165-2016.pdf |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Vandas E. P. Romashets |
| spellingShingle |
M. Vandas E. P. Romashets Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers Annales Geophysicae |
| author_facet |
M. Vandas E. P. Romashets |
| author_sort |
M. Vandas |
| title |
Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers |
| title_short |
Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers |
| title_full |
Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers |
| title_fullStr |
Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers |
| title_full_unstemmed |
Euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers |
| title_sort |
euler potentials for two layers with non-constant current densities in the ambient magnetic field aligned to the layers |
| publisher |
Copernicus Publications |
| series |
Annales Geophysicae |
| issn |
0992-7689 1432-0576 |
| publishDate |
2016-12-01 |
| description |
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. |
| url |
https://www.ann-geophys.net/34/1165/2016/angeo-34-1165-2016.pdf |
| work_keys_str_mv |
AT mvandas eulerpotentialsfortwolayerswithnonconstantcurrentdensitiesintheambientmagneticfieldalignedtothelayers AT epromashets eulerpotentialsfortwolayerswithnonconstantcurrentdensitiesintheambientmagneticfieldalignedtothelayers |
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1725749905709858816 |