The MHD stability of a twisted flux tube prominence model

A. W. Longbottom, A. W. Hood

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3 Citations (Scopus)


The ideal magnetohydrodynamic (MHD) stability of the 2D twisted magnetic flux tube prominence model of Cartledge and Hood (1993) is investigated. The model includes a temperature profile that varies from realistic prominence values up to typical coronal values. The prominence is considered to be of finite-width and finite height. The stability properties of the prominence models are studied by using a method that generates a separate necessary condition and a sufficient condition. These conditions give bounds on the parameters that define marginal stability. In many cases these bounds are quite close so that further, more detailed, stability calculations are not necessary. A number of parameter regimes are examined, corresponding to different profiles of the prominence temperatures, densities, and magnetic field shear. It is found that the model admits realistic stable and unstable loop lengths for observed prominence parameters when the axial magnetic field component does not vanish.
Original languageEnglish
Pages (from-to)51-68
JournalSolar Physics
Publication statusPublished - 1 Sept 1994


  • Coronal Loops
  • Current Density
  • Current Sheets
  • Force-Free Magnetic Fields
  • Magnetic Field Configurations
  • Magnetic Flux
  • Magnetohydrodynamic Stability
  • Mathematical Models
  • Plasma Density
  • Plasma Temperature
  • Solar Corona
  • Solar Magnetic Field
  • Solar Prominences
  • Boundary Conditions
  • Coefficients
  • Euler-Lagrange Equation
  • Partial Differential Equations
  • Potential Fields


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