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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.