Quasi-Static Evolution of a Three-Dimensional Force-Free Magnetic Flux Tube or Arcade

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

Published Online: 21 MAR 2013

DOI: 10.1029/GM058p0235

Physics of Magnetic Flux Ropes

Physics of Magnetic Flux Ropes

How to Cite

Aly, J. J. (1990) Quasi-Static Evolution of a Three-Dimensional Force-Free Magnetic Flux Tube or Arcade, 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/GM058p0235

Author Information

  1. Service d'Astrophysique—CEN Saclay— 91191 Gif-Sur-Yvette-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 consider in the perfectly conducting half-space { z < o } a simple topology line-tied force-free magnetic field [See PDF for text that cannot be displayed in HTML] and its quasistatic evolution driven by motions imposed to the feet of its lines on the boundary {z = o}. We discuss in particular: i) the possibility of a global Euler representation of [See PDF for text that cannot be displayed in HTML]; ii) the equations satisfied by the field; iii) the existence and stability of solutions of these equations; iv) their asymptotic behaviour at large time. We also discuss for the particular case of an axisymmetric arcade the possibility of a transition by reconnection to a lower energy state when the topology of the lines is allowed to change (the assumption of an ideal embedded plasma being partly released).