Contribution of phase-mixing of Alfvén waves to coronal heating in multi-harmonic loop oscillations
arXiv:1804.10562 · doi:10.1051/0004-6361/201732251
Abstract
Kink oscillations of a coronal loop are observed and studied in detail because they provide a unique probe into the structure of coronal loops through MHD seismology and a potential test of coronal heating through the phase-mixing of Alfvén waves. In particular, recent observations show that standing oscillations of loops often involve also higher harmonics, beside the fundamental mode. The damping of these kink oscillations is explained by mode coupling with Alfvén waves. We investigate the consequences for wave-based coronal heating of higher harmonics and what coronal heating observational signatures we may use to infer the presence of higher harmonic kink oscillations. We perform a set of non-ideal MHD simulations where the damping of the kink oscillation of a flux tube via mode coupling is modelled. Our MHD simulation parameters are based on the seismological inversion of an observation for which the first three harmonics are detected. We study the phase-mixing of Alfvén waves that leads to the deposition of heat in the system, and we apply the seismological inversion techniques to the MHD simulation output. We find that the heating due to phase-mixing of the Alfvén waves triggered by the damping of the kink oscillation is relatively small, however we can illustrate i) how the heating location drifts due to the subsequent damping of lower order harmonics. We also address the role of the higher order harmonics and the width of the boundary shell in the energy deposition. We conclude that the coronal heating due to phase-mixing seems not to provide enough energy to maintain the thermal structure of the solar corona even when multi-harmonics oscillations are included, and these oscillations play an inhibiting role in the development of smaller scale structures.
References in corpus (20)
- MHD Waves and Coronal Seismology: an overview of recent results
- MPI-AMRVAC for Solar and Astrophysics
- A Contemporary View of Coronal Heating
- Nonlinear Instability of kink oscillations due to shear motions
- Decayless low-amplitude kink oscillations: a common phenomenon in the solar corona?
- Coronal Loop Oscillations Observed with AIA - Kink-Mode with Cross-Sectional and Density Oscillations
- Resonant Absorption of Transverse Oscillations and Associated Heating in a Solar Prominence. II- Numerical aspects
- Recent advances in coronal heating
- Resonant Absorption of Transverse Oscillations and Associated Heating in a Solar Prominence. I- Observational aspects
- A statistical study of decaying kink oscillations detected using SDO/AIA
- Resonant absorption in complicated plasma configurations: applications to multi-stranded coronal loop oscillations
- Heating by transverse waves in simulated coronal loops
- Damping of nonlinear standing kink oscillations: a numerical study
- Modelling observed decay-less oscillations as resonantly enhanced Kelvin-Helmholtz vortices from transverse MHD waves and their seismological application
- The effects of resistivity and viscosity on the Kelvin-Helmholtz instability in oscillating coronal loops
- Observational Signatures of Coronal Loop Heating and Cooling Driven by Footpoint Shuffling
- 3D MHD modeling of twisted coronal loops
- Contribution of mode coupling and phase-mixing of Alfvén waves to coronal heating
- Identification of different types of kink modes in coronal loops: principles and application to TRACE results
- Alfvén wave phase-mixing in flows: Why over-dense, solar coronal, open magnetic field structures are cool?
Cited by in corpus (14)
- Coronal heating by MHD waves
- Kink oscillations of coronal loops
- Heating effects from driven transverse and Alfvén waves in coronal loops
- Amplitudes and energy fluxes of simulated decayless kink oscillations
- The First 3D Coronal Loop Model Heated by MHD Waves against Radiative Losses
- Wave heating in gravitationally stratified coronal loops in the presence of resistivity and viscosity
- Contribution of observed multi frequency spectrum of Alfvén waves to coronal heating
- Coronal loop transverse oscillations excited by different driver frequencies
- Phase mixing of nonlinear Alfven waves
- Transition to turbulence in nonuniform coronal loops driven by torsional Alfven waves
- Effect of Coronal Loop Structure on Wave Heating by Phase Mixing
- Investigating the damping rate of phase-mixed Alfven waves
- Propagating Kink Waves in an Open Coronal Magnetic Flux Tube with Gravitational Stratification: Magnetohydrodynamic Simulation and Forward Modelling
- Forward Modelling of MHD Waves in Braided Magnetic Fields