Dispersive shock waves in partially ionised plasmas

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...

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Bibliographic Details
Published in:Advances in space research 2019-02, Vol.63 (4), p.1472-1482
Main Authors: Ballai, I., Forgács-Dajka, E., Marcu, A.
Format: Article
Language:English
Subjects:
Nonlinear waves
Partially ionised plasmas
Shocks
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Summary: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 renormalization 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.
ISSN:0273-1177
1879-1948
DOI:10.1016/j.asr.2018.10.024