Heating by transverse waves in simulated coronal loops

Abstract

Recent numerical studies of oscillating flux tubes have established the significance of resonant absorption in the damping of propagating transverse oscillations in coronal loops. The nonlinear nature of the mechanism has been examined alongside the Kelvin-Helmholtz instability, which is expected to manifest in the resonant layers at the edges of the flux tubes. While these two processes have been hypothesized to heat coronal loops through the dissipation of wave energy into smaller scales, the occurring mixing with the hotter surroundings can potentially hide this effect. We aim to study the effects of wave heating from driven and standing kink waves in a coronal loop. Using the MPI-AMRVAC code, we perform ideal, three dimensional magnetohydrodynamic (MHD) simulations of both (a) footpoint driven and (b) free standing oscillations in a straight coronal flux tube, in the presence of numerical resistivity. We have observed the development of Kelvin-Helmholtz eddies at the loop boundary layer of all three models considered here, as well as an increase of the volume averaged temperature inside the loop. The main heating mechanism in our setups was Ohmic dissipation, as indicated by the higher values for the temperatures and current densities located near the footpoints. The introduction of a temperature gradient between the inner tube and the surrounding plasma, suggests that the mixing of the two regions, in the case of hotter environment, greatly increases the temperature of the tube at the site of the strongest turbulence, beyond the contribution of the aforementioned wave heating mechanism.

10 pages, 10 figures

References in corpus (12)

• MPI-AMRVAC for Solar and Astrophysics
• Nonlinear Instability of kink oscillations due to shear motions
• Fine strand-like structure in the solar corona from MHD transverse oscillations
• First direct measurements of transverse waves in solar polar plumes using SDO/AIA
• A global view of velocity fluctuations in the corona below 1.3 $R_{\odot }$ with CoMP
• Damping of nonlinear standing kink oscillations: a numerical study
• Magnetohydrodynamic kink waves in nonuniform solar flux tubes: phase mixing and energy cascade to small scales
• The Dynamics of Rapid Redshifted and Blueshifted Excursions in the Solar Halpha line
• Modelling observed decay-less oscillations as resonantly enhanced Kelvin-Helmholtz vortices from transverse MHD waves and their seismological application
• Long-Period Intensity Pulsations in Coronal Loops Explained by Thermal Non-Equilibrium Cycles
• Kelvin-Helmholtz instability in solar chromospheric jets: theory and observation
• Observational signatures of transverse MHD waves and associated dynamic instabilities

Cited by in corpus (20)

• Coronal heating by MHD waves
• Excitation of decay-less transverse oscillations of coronal loops by random motions
• Decayless oscillations in solar coronal bright points
• 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
• Wave modes excited by photospheric p-modes and mode conversion in a multi-loop system
• An Analytical Model of the Kelvin-Helmholtz Instability of Transverse Coronal Loop Oscillations
• Transverse loop oscillations via vortex shedding: a self oscillating process
• Contribution of observed multi frequency spectrum of Alfvén waves to coronal heating
• Coronal cooling as a result of mixing by the nonlinear Kelvin--Helmholtz instability
• Coronal loop transverse oscillations excited by different driver frequencies
• Estimating the energy dissipation {from Kelvin-Helmholtz instability induced} turbulence in oscillating coronal loops}
• Resonant absorption in expanding coronal magnetic flux tubes with uniform density
• Resonant absorption of surface sausage and surface kink modes under photospheric conditions
• Transition to turbulence in nonuniform coronal loops driven by torsional Alfven waves
• Excitation and evolution of coronal oscillations in self-consistent 3D radiative MHD simulations of the solar atmosphere
• Impulsively Generated Kink Wave Trains in Solar Coronal Slabs
• Transition to turbulence in nonuniform coronal loops driven by torsional Alfvén waves. II. Extended analysis and effect of magnetic twist
• Quasimodes in the cusp continuum in nonuniform magnetic flux tubes