Resistive ballooning modes in line-tied coronal fields. II - Loops

Computer Science – Numerical Analysis

Scientific paper

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Coronal Loops, Perturbation Theory, Plasma Density, Solar Corona, Solar Magnetic Field, Differential Equations, Equilibrium Equations, Numerical Analysis

Scientific paper

The resistive stability of coronal loops to perturbations with short wavelength across the magnetic field is analysed, taking full account of the line tying effect due to the presence of the photosphere. The results presented are similar to those previously obtained for arcades: configurations with a pressure profile decreasing with distance from the loop axis at some point are found to be always unstable, the growth rate γ increasing monotonically with the wavenumber (n) and scaling approximately as γ ≡ (n2Dr)1/3 in the limit of large n.

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