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Cylindrical prominences and the magnetic influence of the photospheric boundary

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Abstract

We construct exact, non-linear, solutions for an horizontal, cylindrical, current-carrying, prominence supported against solar gravity by the action of a Lorentz force. The solutions incorporate the photosphere boundary condition, proposed by van Tend and Kuperus (1978), and analyzed by them for line filaments. Our solutions have finite radius for the prominence material and, as well as satisfying the equations of magnetostatic equilibrium, they allow for the continuity of gas pressure, and of the normal and tangential components of magnetic field across the circular prominence boundary. We show that an infinity of solutions is possible and we illustrate the basic behavior by investigation of a special case.

We also give a prescription for constructing equilibrium fields for any horizontal prominence with arbitrary cross-section and with an arbitrary external magnetic field. The prescription is ideally suited for numerical codes and we suggest that both the equilibrium of such shapes can easily be accomplished numerically together with their evolutionary history.

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Authors and Affiliations

  1. Department of Physics and Enrico Fermi Institute, University of Chicago, 60637, Chicago, Ill., U.S.A.

    I. Lerche

  2. Lau Kuei Huat Pte(S.) Ltd., 55, Shipyard Rd., 22, Singapore, Republic of Singapore

    B. C. Low

Authors
  1. I. Lerche
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  2. B. C. Low
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Lerche, I., Low, B.C. Cylindrical prominences and the magnetic influence of the photospheric boundary. Sol Phys 66, 285–303 (1980). https://doi.org/10.1007/BF00150586

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  • DOI: https://doi.org/10.1007/BF00150586

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