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Magnetostatic equilibria and current sheets in a sheared magnetic field with an X-point

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Abstract

When a two-dimensional magnetic field containing X-points is sheared, in general current sheets appear all along the separatrices and the X-points are structurally unstable. Their splitting into pairs of cusp points near which the magnetic field is of self-similar form is suggested. Solutions both inside and outside the cusps are obtained and are matched together by the conditions of continuity of the flux function and continuity of magnetic pressure.

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Author notes

  1. G. Vekstein

    Present address: Academy of Sciences, Siberian Division, Institute of Nuclear Physics, Novosibirsk 90, Russia

Authors and Affiliations

  1. Mathematical and Computational Sciences Department, The University, KY16 9SS, St Andrews, UK

    G. Vekstein & E. R. Priest

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  1. G. Vekstein
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  2. E. R. Priest
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Vekstein, G., Priest, E.R. Magnetostatic equilibria and current sheets in a sheared magnetic field with an X-point. Sol Phys 146, 119–125 (1993). https://doi.org/10.1007/BF00662173

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  • DOI: https://doi.org/10.1007/BF00662173

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