Integrated Forces on Slender Magnetic Flux Loops with Twisted Field Lines

Details Integrated Forces on Slender Magnetic Flux Loops with Twisted Field Lines Integrated Forces on Slender Magnetic Flux Loops with Twisted Field Lines

Dec 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993aas...183.0701g&link_type=abstract

American Astronomical Society, 183rd AAS Meeting, #07.01; Bulletin of the American Astronomical Society, Vol. 25, p.1299

Astronomy and Astrophysics

Astronomy

Scientific paper

The integrated forces acting on a slender noncircular loop having magnetic field line twist are investigated. The loop-aligned electric current, which gives the field line twist, generates a magnetic field according to the Biot-Savart law. Thus, the Lorentz forces acting on each segment of the loop depend upon the explicit shape of the entire loop. To date, solutions in the integrated form exist only for the geometry of a section of a circular toroidal loop [Chen, Ap. J., 338, 453, 1989.] The inclusion of gravity makes it necessary to consider noncircular loops. If the local minor radius along the length of the loop is much smaller than the local radius of curvature of the loop, then a reduced expression for the local Lorentz forces can be found. In this formulation, the magnetic field and thus the Lorentz force acting on any segment of the loop are due to the loop-aligned electric current from the entire loop. We carry out a detailed study of the equilibrium and dynamics of slender twisted magnetic flux loops which are not constrained to be circular. Work sponsored by ONR. Garren is an ONR Postdoctoral Fellow.

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