TY - JOUR
T1 - Resonantly damped fast MHD kink modes in longitudinally stratified tubes with thick non-uniform transitional layers
AU - Arregui, Invio
AU - Van Doorsselaere, Tom
AU - Andries, Jesse
AU - Goossens, Marcel
AU - Kimpe, Dries
PY - 2005
Y1 - 2005
N2 - 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 Alfven 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.
AB - 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 Alfven 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.
UR - http://www.aanda.org/index.php?option=article&access=bibcode&bibcode=2005A%2526A...441..361APDF
M3 - Article
VL - 441
SP - 361
EP - 370
JO - Astronomy & Astrophysics
JF - Astronomy & Astrophysics
SN - 0004-6361
IS - 1
ER -