How much energy can be stored in a three-dimensional force-free magnetic field?

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Force-Free Magnetic Fields, Magnetic Flux, Solar Corona, Solar Flares, Solar Magnetic Field, Half Spaces, Magnetic Field Reconnection, Solar Atmosphere, Stellar Models

Scientific paper

Simple physical considerations indicate that the energy of any finite-energy, force-free magnetic field occupying a half-space, and having all its lines unknotted and tied to the half-space boundary, will not be larger than the energy of the 'open field' which has the same half-space boundary flux distribution. Attention is given to the consequences of this view for the solar corona's eruptive phenomena; an upper bound on the energy which a flare can release is implied, and any spontaneous transition of the coronal field to an open state is precluded.

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