| Issue |
A&A
Volume 429, Number 1, January I 2005
|
|
|---|---|---|
| Page(s) | 15 - 18 | |
| Section | Astrophysical processes | |
| DOI | https://doi.org/10.1051/0004-6361:20041547 | |
| Published online | 13 December 2004 | |
A uniqueness result for a simple force-free magnetic field submitted to a topological constraint
CEA/DSM/DAPNIA, Service d'Astrophysique (CNRS FRE 2591), CE Saclay, 91191 Gif-sur-Yvette Cedex, France e-mail: jjaly@discovery.saclay.cea.fr
Received:
29
June
2004
Accepted:
13
August
2004
A proof is given of the following statement: if 
is a smooth force-free magnetic field contained in a cylindrical domain of axis parallel to 
and of star-shaped cross-section, and if is
topologically equivalent to the uniform field 
,
then 
. In addition to being a very
first step in the general study of the uniqueness of a magnetostatic equilibrium
subject to a topological constraint, this result has a direct relevance
to the approach recently developed by
Ng & Bhattacharjee
(1998, Phys. Plasma, 5, 4028) to support Parker's theory of current sheets formation in the solar corona.
Key words: magnetohydrodynamics (MHD) / Sun: magnetic fields / Sun: corona
© ESO, 2005
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