Volume 499, Number 1, May III 2009
|Page(s)||17 - 20|
|Published online||25 March 2009|
Linear force-free field of a toroidal symmetry
Center for Plasma Astrophysics, K.U. Leuven 3001, Belgium
2 Solar Observatory, Prairie View A& M University, Prairie View 77446, USA e-mail: firstname.lastname@example.org
3 Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of Russian Academy of Sciences, Troitsk 142190, Russia
4 Astronomical Institute, Academy of Sciences of the Czech Republic, Boční II 1401, 141 31 Praha 4, Czech Republic
Accepted: 1 March 2009
Context. Interplanetary flux ropes are often described by linear force-free fields. To account for their curvature, toroidal configurations valid for large aspect ratios are used. However, in some cases, flux ropes need to be approximated by a toroid with a low aspect ratio.
Aims. The aim is to find an analytical description of a linear force-free magnetic field of toroidal geometry, not restricted to large aspect ratios.
Methods. The solution is found as a superposition of fields given by linear force-free cylinders tangential to a generating toroid.
Results. The obtained solution describes toroidal flux ropes with reasonable shapes and magnetic field values. The field is exactly linear force-free for arbitrary aspect ratios. The new solution can be applied for solar and interplanetary flux ropes, astrophysical objects, and laboratory plasma.
Key words: magnetic fields / solar wind / Sun: coronal mass ejections (CMEs)
© ESO, 2009
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