Self-Similar Solutions up to Flashpoint in Highly Wound Magnetostatics

Details Self-Similar Solutions up to Flashpoint in Highly Wound Magnetostatics Self-Similar Solutions up to Flashpoint in Highly Wound Magnetostatics

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.267..146l&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 267, NO. 1/MAR1, P. 146, 1994

Astronomy and Astrophysics

Astronomy

101

Accretion, Accretion Discs - Mhd - Sun: Magnetic Fields - Galaxies: Magnetic Fields

Scientific paper

A general theorem on force-free fields is proved and applied to highly wound field configurations. In axial symmetry such configurations expand along a cone of semi-angle 60° as the system is wound up. The self-similar field structure is determined. After 1/√3 turns the system reaches flashpoint with a discharge around this cone releasing toroidal flux loops to infinity. All poloidal flux then visits infinity.

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