Abstract

Observations at millimetre wavelengths provide a valuable tool to study the small-scale dynamics in the solar chromosphere. We evaluate the physical conditions of the atmosphere in the presence of a propagating shock wave and link that to the observable signatures in mm-wavelength radiation, providing valuable insights into the underlying physics of mm-wavelength observations. A realistic numerical simulation from the three-dimensional radiative magnetohydrodynamic code Bifrost is used to interpret changes in the atmosphere caused by shock wave propagation. High-cadence (1 s) time series of brightness temperature (Tb) maps are calculated with the Advanced Radiative Transfer code at the wavelengths 1.309 mm and 1.204 mm, which represents opposite sides of spectral band 6 of the Atacama Large Millimeter/submillimeter Array (ALMA). An example of shock wave propagation is presented. The brightness temperatures show a strong shock wave signature with large variation in formation height between approximately 0.7 and 1.4 Mm. The results demonstrate that millimetre brightness temperatures efficiently track upwardly propagating shock waves in the middle chromosphere. In addition, we show that the gradient of the brightness temperature between wavelengths within ALMA band 6 can potentially be used as a diagnostics tool in understanding the small-scale dynamics at the sampled layers. This article is part of the Theo Murphy meeting issue 'High-resolution wave dynamics in the lower solar atmosphere'.

Highlights

  • The solar atmosphere is highly dynamic at small scales at chromospheric heights, under quiet Sun conditions with low magnetic-field strength [1]

  • The shock wave example presented in this study exhibits a predominantly vertical propagation, which is to be expected for the region under consideration, with magnetic fields of minimal inclination

  • We use realistic numerical 3D MHD simulations from the Bifrost code, including non-local thermal equilibrium (LTE), non-equilibrium hydrogen ionization, of the solar atmosphere to study small-scale dynamics connected to propagating shock waves and how these are perceived in mm-wavelength radiation

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Summary

Introduction

The solar atmosphere is highly dynamic at small scales at chromospheric heights, under quiet Sun conditions with low magnetic-field strength [1]. Three-dimensional (3D) simulations, for instance those by Wedemeyer et al [16], exhibit a dynamic mesh-like pattern of hot filaments from shock waves surrounding cooler post-shock regions. Such 3D simulations are employed by Wedemeyer-Böhm et al [17] and Loukitcheva et al [18] to explore the use of millimetre and submillimetre wavelengths as diagnostic tools for the chromosphere. Other observational studies of small-scale shock signatures have found that the magnetic field activity and orientation may play a major role in quiet Sun regions [27,28], where shock waves propagate in both weak (or non-magnetized) and strong field-concentrated regions.

Simulation set-up
Example of shock wave
Findings
Discussion
Conclusion
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