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Exact equilibria for nonlinear force-free magnetic fields with its applications to astrophysics and fusion plasmas

Published online by Cambridge University Press:  15 January 2014

S. M. Moawad
S. M. Moawad*
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
*
†Email address for correspondence: smmoawad@hotmail.com
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Abstract

Knowledge of the structure of coronal magnetic field originating from the photosphere is relevant to the understanding of many solar activity phenomena, e.g. flares, solar prominences, coronal loops, and coronal heating. In most of the existing literature, these loop-like magnetic structures are modeled as force-free magnetic fields (FFMF) without any plasma flow. In this paper, we present several exact solution classes for nonlinear FFMF, in both translational and axisymmetric geometries. The solutions are considered for their possible relevance to astrophysics and solar physics problems. These are used to illustrate arcade-type magnetic field structures of the photosphere and twisted magnetic flux ropes through the coronal mass ejections (CMEs), as well as magnetic confinement fusion plasmas.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 2 , April 2014 , pp. 173 - 195
Copyright
Copyright © Cambridge University Press 2014 

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