Energy Buildup in a Quadrupolar Corona

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Scientific paper

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7509 Corona, 7513 Coronal Mass Ejections (2101), 7524 Magnetic Fields

Scientific paper

We consider the buildup of magnetic energy in a force-free model corona with quadrupolar boundary conditions at the coronal base. Our broad goal is to explore the energetics of the corona prior to coronal mass ejections. Specifically, we compare the maximum possible energy with that of a fully open field with the same boundary conditions; Aly and Sturrock have conjectured that the latter is the upper bound on the energy of force-free fields without detached flux. As found earlier for dipolar and other bipolar boundary conditions, it appears possible in the quadrupolar case to develop solutions with detached flux ropes, whose energy exceeds the open-field energy. Calculation of the open-field energy proves more difficult in the quadrupolar case, where the configuration of current sheets is not obvious from symmetry, and we present a method for finding this energy.

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