Structure of Two-Dimensional Magnetostatic Equilibria in the Presence of Gravity

  1. C. T. Russell,
  2. E. R. Priest and
  3. L. C. Lee
  1. T. Amari1 and
  2. J. J. Aly2

Published Online: 21 MAR 2013

DOI: 10.1029/GM058p0327

Physics of Magnetic Flux Ropes

Physics of Magnetic Flux Ropes

How to Cite

Amari, T. and Aly, J. J. (1990) Structure of Two-Dimensional Magnetostatic Equilibria in the Presence of Gravity, in Physics of Magnetic Flux Ropes (eds C. T. Russell, E. R. Priest and L. C. Lee), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM058p0327

Author Information

  1. 1

    Applied Mathematics Division, The University, St Andrews, Fife, Scotland

  2. 2

    Service d'Astrophysique, Centre d'etudes Nucléaires de Saclay, 91191 Gif-Sur-Yvette Cedex, France

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1990

ISBN Information

Print ISBN: 9780875900261

Online ISBN: 9781118663868

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Keywords:

  • Solar photosphere;
  • Magnetic flux;
  • Astrophysics

Summary

We report the results of an analytical study of several 2D (x-invariant) models describing the equilibrium of a plasma occupying the half-space {z>0} and submitted to a magnetic field and to a constant vertical gravitational field. These models differ from each other by the assumptions which are made on the way matter is spatially distributed. In models 1 and 2 (directly aimed to describe the magnetic support of solar prominences), the plasma is taken to be concentrated in a vertical sheet and in a filament, respectively, the external supporting field being a constant-α force-free field, while in model 3, the plasma is taken to occupy all the half-space and to have a uniform temperature. For each of these models, we establish general results concerning in particular the existence and the uniqueness of solutions, thus bringing about several interesting “nonequilibrium” phenomena.