Resonantly damped fast MHD kink modes in longitudinally stratified tubes with thick non-uniform transitional layers

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Magnetohydrodynamics (Mhd), Methods: Numerical, Sun:, Oscillations, Sun: Magnetic Fields

Scientific paper

Resonantly damped fast kink quasi-modes are computed in fully
resistive magnetohydrodynamics (MHD) for two-dimensional equilibrium
models. The equilibrium model is a straight cylindrically symmetric flux
tube with a plasma density that is non-uniform both across and along the
loop. The non-uniform layer across the loop is not
restricted to be thin, but its thickness can reach values up to the
loop diameter.
Our results indicate that
the period and damping of coronal loop oscillations mainly depend on the density contrast
and the inhomogeneity length-scale and are independent of the details of
longitudinal stratification, depending on the weighted mean density,
weighted with the wave energy. For fully non-uniform loops, quasi-modes can
interact with resistive Alfvén eigenmodes leading to avoided crossings
and gaps in the complex frequency plane. The present study extends previous
studies on coronal loop oscillations in one-dimensional equilibrium models
with thick boundary layers and in equilibria with longitudinally stratified loops under the
thin boundary approximation, and allow for a better comparison between
observations and theory raising the prospect of coronal seismology using
the time damping of coronal loop oscillations.

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