Two-dimensional force-free magnetic fields described by some nonlinear equations

Journal Article · Wed Dec 15 04:00:00 EST 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3520065· OSTI ID:21532103

Khater, A H; Abdelkawy, M A ^[1]; Callebaut, D K ^[2]

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1. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511 (Egypt)
2. Department of Physics, CGB, University of Antwerp, B-2020 Antwerp (Belgium)

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.

• OSTI ID: 21532103
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOLTZMANN-VLASOV EQUATION
CURRENT DENSITY
DIFFERENTIAL EQUATIONS
ENERGY DENSITY
EQUATIONS
EXACT SOLUTIONS
FORCE-FREE MAGNETIC FIELDS
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POISSON EQUATION
TWO-DIMENSIONAL CALCULATIONS