Magnetohydrodynamic kink waves in two-dimensional non-uniform prominence threads

Abstract

We analyse the oscillatory properties of resonantly damped transverse kink oscillations in two-dimensional prominence threads. The fine structures are modelled as cylindrically symmetric magnetic flux tubes with a dense central part with prominence plasma properties and an evacuated part, both surrounded by coronal plasma. The equilibrium density is allowed to vary non-uniformly in both the transverse and the longitudinal directions.We examine the influence of longitudinal density structuring on periods, damping times, and damping rates for transverse kink modes computed by numerically solving the linear resistive magnetohydrodynamic (MHD) equations. The relevant parameters are the length of the thread and the density in the evacuated part of the tube, two quantities that are difficult to directly estimate from observations. We find that both of them strongly influence the oscillatory periods and damping times, and to a lesser extent the damping ratios. The analysis of the spatial distribution of perturbations and of the energy flux into the resonances allows us to explain the obtained damping times. Implications for prominence seismology, the physics of resonantly damped kink modes in two-dimensional magnetic flux tubes, and the heating of prominence plasmas are discussed.

12 pages, 9 figures, A&A accepted

References in corpus (9)

• Nonlinear Instability of kink oscillations due to shear motions
• Analytic approximate seismology of transversely oscillating coronal loops
• Transverse oscillations of flowing prominence threads observed with Hinode
• Damping of Fast Magnetohydrodynamic Oscillations in Quiescent Filament Threads
• Damping of filament thread oscillations: effect of the slow continuum
• Non-adiabatic magnetohydrodynamic waves in a cylindrical prominence thread with mass flow
• Seismology of Standing Kink Oscillations of Solar Prominence Fine Structures
• The effect of the solar corona on the attenuation of small-amplitude prominence oscillations. I. Longitudinal magnetic field
• Nonlinear effects in resonant layers in solar and space plasmas

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