Ballai, I. orcid.org/0000-0002-3066-7653, Forgacs-Dajka, E. and Marcu, A. (2019) Dispersive shock waves in partially ionised plasmas. Advances in Space Research, 63 (4). pp. 1472-1482. ISSN 0273-1177
Abstract
Compressional waves propagating in the partially ionised solar lower atmospheric plasmas can easily steepen into nonlinear waves, including shocks. Here we investigate the effect of weak dispersion generated by Hall currents perpendicular to the ambient magnetic field on the characteristics of shock waves. Our study will also focus on the interplay between weak dispersion and partial ionisation of the plasma. Using a multiple scale technique we derive the governing equation in the form of a Korteweg-de Vries-Burgers equation. The effect of weak dispersion on shock waves is obtained using a perturbation technique. The secular behaviour of second order terms is addressed with the help of a renormalisation technique. Our results show that dispersion modifies the characteristics of shock waves and this change is dependent also on the ionisation degree of the plasma. Dispersion can create short lived oscillations in the shocked plasma. The shock fronts become wider with the increase in the number of neutrals in the plasma.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 Elsevier. This is an author produced version of a paper subsequently published in Advances in Space Research. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | Partially ionised plasmas; Nonlinear waves; Shocks |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number LEVERHULME TRUST (THE) IN-2014-016 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 25 Oct 2018 09:16 |
Last Modified: | 10 May 2024 14:02 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.asr.2018.10.024 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:137769 |