Issue |
A&A
Volume 455, Number 2, August IV 2006
|
|
---|---|---|
Page(s) | 709 - 717 | |
Section | The Sun | |
DOI | https://doi.org/10.1051/0004-6361:20054430 | |
Published online | 04 August 2006 |
Fast magnetohydrodynamic oscillations in a force-free line-tied coronal arcade
1
Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, Scotland, UK e-mail: [antonio;bernie]@mcs.st-and.ac.uk
2
Departament de Física, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain e-mail: temury.zaqarashvili@uib.es
Received:
27
October
2005
Accepted:
28
April
2006
Aims.We discuss a simple model of a line-tied coronal arcade with piecewise constant density to explore the effects of curvature on radially polarised fast modes.
Methods.A partial differential equation is derived for the velocity perturbation of the fast modes and it is solved analytically in terms of Bessel functions of half integer order, obtaining a dispersion relation.
Results.The properties of the modes are studied in terms of the parameters. All the modes are leaky under these conditions. Besides the usual kink and sausage modes, new families are described: the vertical, swaying (longitudinal), and rocking modes arise.
Conclusions.The damping rates are similar to observed rates. For thin arcades the modes are markedly different from those of a straight slab and resemble more the modes of a circular membrane.
Key words: Sun: oscillations / Sun: magnetic fields / Sun: corona
© ESO, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.