Nonlinear Generation of Fluting Perturbations by Kink Mode in a Twisted Magnetic Tube

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...

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Veröffentlicht in:Solar physics 2022-09, Vol.297 (9), Article 116
Hauptverfasser: Ruderman, M. S., Petrukhin, N. S.
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description 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.
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subjects Approximation
Astrophysics and Astroparticles
Atmospheric Sciences
Dependent variables
Equilibrium
Fluid flow
Grooving
Independent variables
Magnetic fields
Magnetohydrodynamics
Mathematical analysis
Perturbation methods
Physics
Physics and Astronomy
Plasma
Solar physics
Space Exploration and Astronautics
Space Sciences (including Extraterrestrial Physics
title Nonlinear Generation of Fluting Perturbations by Kink Mode in a Twisted Magnetic Tube
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