Title: Direct excitation of resonant torsional Alfven waves by footpoint motions
Authors: Ruderman, MS ×
Berghmans, D
Goossens, Marcel
Poedts, Stefaan #
Issue Date: 1997
Publisher: Springer verlag
Series Title: Astronomy and astrophysics vol:320 issue:1 pages:305-318
Abstract: The present paper studies the heating of coronal loops by linear resonant Alfven waves that are excited by the motions of the photospheric footpoints of the magnetic field lines. The analysis is restricted to torsionally polarised footpoint motions in an axially symmetric system so that only torsional Alfven waves are excited. For this subclass of footpoint motions, the Alfven and cusp singularities are absent from the analysis which means that resonant coupling between global modes of the loop and localised oscillations is avoided. Instead, the focus is on the resonances due to the finite extent of the loop in the longitudinal direction: at the radii where Alfven waves travelling back and forth along the length of the loop are in phase with the footpoint motions, the oscillations grow unbounded in ideal MHD. Inclusion of electrical resistivity and viscosity as dissipation mechanisms prevents singular growth and we can look at the steady state in which the energy injected at the photospheric part of the loop is balanced by the energy dissipated at the dissipative layer around the resonance. In this sense, we show that the direct excitation of Alfven waves by torsionally polarised footpoint motions leads to a very efficient heating mechanism for coronal loops, even without resonant coupling to global modes.
ISSN: 1432-0746
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Plasma-astrophysics Section
Centre for Language and Education, Leuven
× corresponding author
# (joint) last author

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