One-dimensional, geometrically stratified semi-empirical models of the quiet-Sun photosphere and lower chromosphere

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Main Authors: Borrero, J. M., Milic, I., Yabar, A. Pastor, Kaithakkal, A. J., Rodriguez, J. de la Cruz
Format: Preprint
Published: 2024
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author Borrero, J. M.
Milic, I.
Yabar, A. Pastor
Kaithakkal, A. J.
Rodriguez, J. de la Cruz
author_facet Borrero, J. M.
Milic, I.
Yabar, A. Pastor
Kaithakkal, A. J.
Rodriguez, J. de la Cruz
contents One-dimensional, semi-empirical models of the solar atmosphere are widely employed in numerous contexts within solar physics, ranging from the determination of element abundances and atomic parameters to studies of the solar irradiance and from Stokes inversions to coronal extrapolations. These models provide the physical parameters (i.e. temperature, gas pressure, etc.) in the solar atmosphere as a function of the continuum optical depth $τ_{\rm c}$. The transformation to the geometrical $z$ scale (i.e. vertical coordinate) is provided via vertical hydrostatic equilibrium. Our aim is to provide updated, one-dimensional, semi-empirical models of the solar atmosphere as a function of $z,$ but employing the more general case of three-dimensional magneto-hydrostatic equilibrium (MHS) instead of vertical hydrostatic equilibrium (HE). We employed a recently developed Stokes inversion code that, along with non-local thermodynamic equilibrium effects, considers MHS instead of HE. This code is applied to spatially and temporally resolved spectropolarimetric observations of the quiet Sun obtained with the CRISP instrument attached to the Swedish Solar Telescope. We provide average models for granules, intergranules, dark magnetic elements, and overall quiet-Sun as a function of both $τ_{\rm c}$ and $z$ from the photosphere to the lower chromosphere. We demonstrate that, in these quiet-Sun models, the effect of considering MHS instead of HE is negligible. However, employing MHS increases the consistency of the inversion results before averaging. We surmise that in regions with stronger magnetic fields (i.e. pores, sunspots, network) the benefits of employing the magneto-hydrostatic approximation will be much more palpable.
format Preprint
id arxiv_https___arxiv_org_abs_2404_07067
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle One-dimensional, geometrically stratified semi-empirical models of the quiet-Sun photosphere and lower chromosphere
Borrero, J. M.
Milic, I.
Yabar, A. Pastor
Kaithakkal, A. J.
Rodriguez, J. de la Cruz
Solar and Stellar Astrophysics
One-dimensional, semi-empirical models of the solar atmosphere are widely employed in numerous contexts within solar physics, ranging from the determination of element abundances and atomic parameters to studies of the solar irradiance and from Stokes inversions to coronal extrapolations. These models provide the physical parameters (i.e. temperature, gas pressure, etc.) in the solar atmosphere as a function of the continuum optical depth $τ_{\rm c}$. The transformation to the geometrical $z$ scale (i.e. vertical coordinate) is provided via vertical hydrostatic equilibrium. Our aim is to provide updated, one-dimensional, semi-empirical models of the solar atmosphere as a function of $z,$ but employing the more general case of three-dimensional magneto-hydrostatic equilibrium (MHS) instead of vertical hydrostatic equilibrium (HE). We employed a recently developed Stokes inversion code that, along with non-local thermodynamic equilibrium effects, considers MHS instead of HE. This code is applied to spatially and temporally resolved spectropolarimetric observations of the quiet Sun obtained with the CRISP instrument attached to the Swedish Solar Telescope. We provide average models for granules, intergranules, dark magnetic elements, and overall quiet-Sun as a function of both $τ_{\rm c}$ and $z$ from the photosphere to the lower chromosphere. We demonstrate that, in these quiet-Sun models, the effect of considering MHS instead of HE is negligible. However, employing MHS increases the consistency of the inversion results before averaging. We surmise that in regions with stronger magnetic fields (i.e. pores, sunspots, network) the benefits of employing the magneto-hydrostatic approximation will be much more palpable.
title One-dimensional, geometrically stratified semi-empirical models of the quiet-Sun photosphere and lower chromosphere
topic Solar and Stellar Astrophysics
url https://arxiv.org/abs/2404.07067