Nonlinear Generation of Fluting Perturbations by Kink Mode

Nonlinear Generation of Fluting Perturbations by Kink Mode We study the excitation of fluting perturbations in a magnetic tube by an initially imposed kink mode. We use the ideal magnetohydrodynamic (MHD) equations in the cold-plasma approximation. We also use the thin-tube approximation and scale the dependent and independent variables accordingly. Then we assume that the dimensionless amplitude of the kink mode is small and use it as an expansion parameter in the regular perturbation method. We obtain the expression for the tube boundary perturbation in the second-order approximation. This perturbation is a superposition of sausage and fluting perturbations. The amplitude of the fluting perturbation takes its maximum at the middle of the tube, and it monotonically decreases with the distance from the middle of the tube. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Solar Physics Springer Journals

Nonlinear Generation of Fluting Perturbations by Kink Mode

Solar Physics , Volume 292 (8) – Aug 11, 2017
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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by The Author(s)
Subject
Physics; Astrophysics and Astroparticles; Atmospheric Sciences; Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
ISSN
0038-0938
eISSN
1573-093X
D.O.I.
10.1007/s11207-017-1133-0
Publisher site
See Article on Publisher Site

Abstract

We study the excitation of fluting perturbations in a magnetic tube by an initially imposed kink mode. We use the ideal magnetohydrodynamic (MHD) equations in the cold-plasma approximation. We also use the thin-tube approximation and scale the dependent and independent variables accordingly. Then we assume that the dimensionless amplitude of the kink mode is small and use it as an expansion parameter in the regular perturbation method. We obtain the expression for the tube boundary perturbation in the second-order approximation. This perturbation is a superposition of sausage and fluting perturbations. The amplitude of the fluting perturbation takes its maximum at the middle of the tube, and it monotonically decreases with the distance from the middle of the tube.

Journal

Solar PhysicsSpringer Journals

Published: Aug 11, 2017

References

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