Linear force-free field of a toroidal symmetry

Details Linear force-free field of a toroidal symmetry Linear force-free field of a toroidal symmetry

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009a%26a...499...17r&link_type=abstract

Astronomy and Astrophysics, Volume 499, Issue 1, 2009, pp.17-20

Astronomy and Astrophysics

Astrophysics

2

Magnetic Fields, Solar Wind, Sun: Coronal Mass Ejections (Cmes)

Scientific paper

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.

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