Resonant absorption in expanding coronal magnetic flux tubes with uniform density

TL;DR

This study models resonant absorption of MHD waves in expanding coronal flux tubes, showing energy transfer between wave modes occurs without density gradients, highlighting the importance of magnetic field structure in wave heating.

Contribution

We introduce a new model demonstrating resonant absorption in expanding flux tubes without relying on density gradients, challenging previous assumptions in wave heating theories.

Findings

Resonant absorption occurs in expanding flux tubes without density gradients.

Energy transfer between wave modes is facilitated by magnetic field expansion.

Small-scale structures are concentrated near flux tube foot points.

Abstract

Aims. We investigate the transfer of energy between a standing kink mode and azimuthal Alfven waves within an expanding flux tube. We consider the process of resonant absorption in a loop with a non-uniform Alfven frequency profile but in the absence of a radial density gradient. Methods. Using the MHD code, Lare3d, we model an oscillating magnetic flux tube that expands radially with height. An initially straight loop structure with a magnetic field enhancement is relaxed towards a force-free state before a standing kink mode is introduced. Results. We demonstrate that the transverse gradient in Alfven frequency required for the existence of resonant field lines can be associated with the expansion of a high field-strength flux tube from concentrated flux patches. This allows for the conversion of energy between wave modes even in the absence of the density profile typically assumed in wave heating models. As with standing modes in straight flux tubes, small scales are dominated by the vorticity at the loop apex and by currents at the foot points. The azimuthal wave exhibits the structure of the expanded flux tube and is therefore associated with smaller length scales close to the foot points of the flux tube. Conclusions. Resonant absorption can proceed throughout the corona, even in the absence of dense loop structures. The flux tube and MHD waves considered are difficult to observe and our model highlights how estimating hidden wave power within the solar atmosphere can be problematic. We highlight that, for standing modes, the global properties of field lines are important for resonant absorption and coronal conditions at a single altitude will not fully determine the nature of MHD resonances. We provide a new model in partial response to the criticism that wave heating models cannot self-consistently generate or sustain the density profile upon which they typically rely.