Abstract
Partial ionised solar plasma has received recently more attention as several processes in the solar atmosphere could not be explained by assuming a fully ionised state. In this study, we investigate the numerically temporal evolution of waves driven by a spectrum of waves in a thin magnetic stratified flux tube. The plasma dynamics is studied considering a two-fluid (charged particles and neutrals) framework, for a frequency regime that is comparable with the collisional frequencies between ions and neutral particles. The evolutionary equations for the two species have been derived analytically, and analytical solutions are obtained considering an initial value problem. Our results show that the charged population oscillates in such a way that an observer would sense a wave propagating with the frequency of the driver, and this signal is followed by a decaying wake that oscillates with the cutoff frequency. Thanks to collisions between ions and neutrals, the wave associated with the neutral species is very rapidly decaying.
Similar content being viewed by others
References
T.V. Zaqarashvili, M.L. Khodachenko, H.O. Rucker, Magnetohydrodynamic waves in solar partially ionized plasmas: two-fluid approach. Astron. Astrophys. 529, A82 (2011). EDP Sciences
R. Soler, M. Carbonell, J.L., Ballester, Magnetoacoustic waves in a partially ionized two-fluid plasma. Astrophys. J. Suppl. Ser. 209(1), 16 (2013). IOP Publishing
A. Alharbi, I. Ballai, V. Fedun, G. Verth, Slow magnetoacoustic waves in gravitationally stratified two-fluid plasmas in strongly ionized limit. Mon. Not. R. Astron. Soc. (MNRAS). 501(2), 1940–1950 (2021)
F. Zhang, S. Poedts, A. Lani, B. Kuźma, K. Murawski, Two-fluid modeling of acoustic wave propagation in gravitationally stratified isothermal media. Astrophys. J. 911(2), 119 (2021). IOP Publishing
I. Ballai, Linear waves in partially ionized plasmas in ionization non-equilibrium. Front. Astron. Space Sci. 6, 39 (2019)
A. Alharbi, I. Ballai, V. Fedun, G. Verth, Waves in weakly ionized solar plasmas. Mon. Not. R. Astron. Soc. 511(4)5274–5286. Oxford University Press (2022)
J.L. Ballester, I. Alexeev, M. Collados, T. Downes, R.F. Pfaff, H. Gilbert, M. Khodachenko, E. Khomenko, I.F. Shaikhislamov, R. Soler, et al., Partially ionized plasmas in astrophysics. Space Sci. Rev. 214, 1–149 (2018). Springer
S. Shelyag, E. Khomenko, A. de Vicente, D. Przybylski, Heating of the partially ionized solar chromosphere by waves in magnetic structures. Astrophys. J. Lett. 819(1), L11 (2016). IOP Publishing
H. Lamb, Proc. Lond. Math. Soc. 7, 122 (1909)
I. Ballai, R. Erdélyi, J. Hargreaves, Slow magnetohydrodynamic waves in stratified and viscous plasmas. Phys. Plasmas 13, 4 (2006). AIP Publishing
R.J. Defouw, Wave propagation along a magnetic tube. Astrophys J 209, 266–269 (1976)
K. Murawski, T.V. Zaqarashvili, Numerical simulations of spicule formation in the solar atmosphere. Astron. Astrophys. 519, A8 (2010). EDP Sciences
I.C. Rae, B. Roberts, Pulse propagation in a magnetic flux tube. Astrophysical Journal Part 1. 256, 761-767 (1982). Research supported by the science research council
S. Routh, Z.E., Musielak, M.N. Sundar, S.S. Joshi, S. Charan, New cutoff frequency for torsional Alfven waves propagating along wide solar magnetic flux tubes. Astrophys. Space Sci. 365, 1–8 (2020). Springer
E.H. Avrett, R. Loeser, Models of the solar chromosphere and transition region from SUMER and HRTS observations: formation of the extreme-ultraviolet spectrum of hydrogen, carbon, and oxygen. Astrophys. J. Suppl. Ser. 175(1), 229 (2008). IOP Publishing
E. Khomenko, M. Collados, N. Shchukina, A. Diaz, Evershed flow observed in neutral and singly ionized iron lines. Astron. Astrophys. 584, A66 (2015). EDP Sciences
J.E. Vernazza, E.H. Avrett, R. Loeser, Structure of the solar chromosphere. III-Models of the EUV brightness components of the quiet-sun. Astrophys. J. Suppl. Ser. 45, 635-725 (1981)
G. Sutmann, Z.E. Musielak, P. Ulmschneider, Acoustic wave propagation in the solar atmosphere. III. Analytic solutions for adiabatic wave excitations. Astron. Astrophys. 340, 556–568 (1998)
P. Ulmschneider, Z.E. Musielak, On the generation of nonlinear magnetic tube waves in the solar atmosphere. II. Longitudinal tube waves. Astron. Astrophys. 338, 311-321 (1998)
Acknowledgements
I would like to thank Dr. Istvan Ballai (University of Sheffield, UK) for helpful suggestions and for reading the draft of this paper. The author is grateful to the referee for the constructive comments that helped to improve the paper.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interest
The author declares no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Alharbi, A. Guided Oscillations in Partially Ionised Solar Chromosphere Driven by a Spectrum of Waves. Braz J Phys 54, 38 (2024). https://doi.org/10.1007/s13538-023-01410-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s13538-023-01410-w