Non-linear damping of standing kink waves computed with Elsasser variables

Abstract

In a previous paper, we computed the energy density and the non-linear energy cascade rate for transverse kink waves using Elsasser variables. In this paper, we focus on the standing kink waves, which are impulsively excited in coronal loops by external perturbations. We present an analytical calculation to compute the damping time due to the non-linear development of the Kelvin-Helmholtz instability. The main result is that the damping time is inversely proportional to the oscillation amplitude. We compare the damping times from our formula with the results of numerical simulations and observations. In both cases we find a reasonably good match. The comparison with the simulations show that the non-linear damping dominates in the high amplitude regime, while the low amplitude regime shows damping by resonant absorption. In the comparison with the observations, we find a power law inversely proportional to the amplitude ${\eta }^{-1}$ as an outer envelope for our Monte Carlo data points.

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Cited by in corpus (13)

• Decayless oscillations in solar coronal bright points
• Weak damping of propagating MHD kink waves in the quiescent corona
• Cut-off of transverse waves through the solar transition region
• A statistical study of propagating MHD kink waves in the quiescent corona
• Influence of the Lower Atmosphere on Wave Heating and Evaporation in Solar Coronal Loops
• Bayesian evidence for a nonlinear damping model for coronal loop oscillations
• Decayless oscillations in 3D coronal loops excited by a power-law driver
• Do Periods of Decayless Kink Oscillations of Solar Coronal Loops Depend on Noise?
• The dynamics and observability of circularly polarized kink waves
• Unveiling the True Nature of Plasma Dynamics from the Reference Frame of a Super-penumbral Fibril
• Kelvin-Helmholtz instability and heating in oscillating loops perturbed by power-law transverse wave drivers
• Transverse kink oscillations of inhomogeneous prominence threads: numerical analysis and H$\alpha$ forward modelling
• Identification of Nonlinear Damping of Transverse Loop Oscillations by KHI-induced Turbulence