Effect of pressure gradients and line-tying on the magnetic stability of coronal loops

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Abstract

An analytical solution for the stability of a simple magnetostatic field is derived, including the effects of the dense photosphere and of pressure gradients. A simple equilibrium state is chosen, and the effects of line-tying and of pressure gradients are considered. The model loop consists of a uniform cylinder of axial flux, surrounded by a purely azimuthal field and separated by a current sheet of thickness 2(delta). The sharp pinch is studied in which delta goes to zero.
Original languageEnglish
Pages (from-to)247-263
JournalGeophysical and Astrophysical Fluid Dynamics
Volume20
DOIs
Publication statusPublished - 1982

Keywords

  • Coronal Loops
  • Magnetohydrodynamic Stability
  • Magnetostatics
  • Pressure Effects
  • Pressure Gradients
  • Current Sheets
  • Cylinders
  • Lines Of Force
  • Photosphere

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