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Oblique shock waves in a two electron temperature superthermally magnetized plasma

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Abstract

A study is presented for the oblique propagation of low-frequency ion acoustic (IA) shock waves in a magnetized plasma consisting of cold ions and two temperature superthermally distributed electrons. A nonlinear Korteweg de-Vries-Burger (KdV-Burger) equation is obtained by using the reductive perturbation method (RPM) which governs the dynamics of the IA shock wave. Using the solution of KdV-Burger equation, the characteristics of the IA shock wave have been studied for various plasma parameters. The combined effects of the cold to hot electron temperature ratio (\(\sigma\)), the density ratio of hot electrons to ions (\(f\)), the superthermality of cold and hot electrons (\(\kappa_{c}, \kappa_{h}\)), the strength of the magnetic field (\(\omega_{ci}\)), and the obliqueness (\(\theta\)), significantly influence the profile of the shock wave. The findings in the present study could be important for the electrostatic wave structures in the Saturn’s magnetosphere, where two temperature electrons exist with a kappa distribution.

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Acknowledgements

The work of ASB is supported by Natural Sciences and Engineering Research Council of Canada (NSERC). This work was supported by the IBS and the NFRI of Korea. This research was also supported by National R&D Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT & Future Planning (2015M1A7A1A02050238).

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Authors and Affiliations

  1. Department of Physics & Engineering Physics, University of Saskatchewan Saskatoon, Saskatoon, SK, S7N 5E2, Canada

    A. S. Bains

  2. POSTECH, Hyoja-Dong San 31, KyungBuk, Pohang, 790-784, South Korea

    A. Panwar & C. M. Ryu

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  1. A. S. Bains
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  2. A. Panwar
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Correspondence to C. M. Ryu.

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Bains, A.S., Panwar, A. & Ryu, C.M. Oblique shock waves in a two electron temperature superthermally magnetized plasma. Astrophys Space Sci 360, 17 (2015). https://doi.org/10.1007/s10509-015-2530-1

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