Title
Two-dimensional force-free magnetic fields described by some nonlinear equations Two-dimensional force-free magnetic fields described by some nonlinear equations
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Woodbury, N.Y. ,
Subject
Physics
Source (journal)
Physics of plasmas. - Woodbury, N.Y.
Volume/pages
17(2010) :12 , p. 122902,1-122902,10
ISSN
1070-664X
ISI
000285770500043
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
A force-free magnetic field arises as a special case in the magnetostatic equation in plasmas when only the magnetic energy density is relevant while all other energy densities are negligible and so only the magnetic pressure is considered. In this article, we find the exact solutions of two-dimensional force-free magnetic fields described by Liouville, sine, double sine, sinh-Poisson, and power force-free magnetic equations. We use the generalized tanh method. In all those cases, the ratio of the current density and the magnetic field is not constant as it happens, e.g., in the solar atmosphere.
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