Abstract

Abstract This paper examines a mechanism proposed by Low (1987) for the formation of current sheets in two-dimensional potential magnetic fields in the solar corona, by photospheric compression parallel to the plane of the field. In contrast to earlier work by Syrovatskii (1974) this mechanism does not require a magnetic neutral point. We develop methods for analysing the change in B due to a compression, and for detecting current sheets by counting the rotations of the magnetic field vector along the photosphere. Methods are also given for calculating the position and lengths of the current sheets, and the magnetic energy they release on reconnection. For the more realistic field which decays suitably at infinity, we find that only nonlinear compressions of restricted form can generate current sheets, and that the energy released is small. Unless other example fields or compressions yield much larger energies, this mechanism seems an unlikely explanation for solar flares.

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