Skip to main content
Log in

Heat Fluxes in Collisionless Magnetohydrodynamic Shock Waves

  • Published:
Geomagnetism and Aeronomy Aims and scope Submit manuscript

Abstract

Properties of solutions for parallel magnetohydrodynamic (MHD) shock waves in collisionless plasma with heat fluxes obtained in the 8-moment MHD approximation are discussed. The domain of upstream shock-wave plasma parameters in which there are solutions that preserve physical meaning of the downstream plasma parameters is determined. New results have also been obtained for the heat fluxes behind the front of parallel shock waves in collisionless plasma.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. Abraham-Shrauner, B., Shock jump conditions for an anisotropic plasma, J. Plasma Phys., 1967, vol. 1, no. 3, pp. 379–381.

    Article  Google Scholar 

  2. Chew, G.F., Goldberger, M.L., and Low, F.E., The Boltzmann equation and one-fluid hydrodynamic equations in the absence of particle collisions, Proc. R. Soc. London, 1956, vol. A236, pp. 112–118.

    Google Scholar 

  3. Demars, H.G. and Schunk, R., Solar wind proton velocity distributions: Comparison of the bi-Maxwellian based 16-moment expansion with observations, Planet. Space Sci., 1990, vol. 38, pp. 1091–1103.

    Article  Google Scholar 

  4. Hudson, P.D., Shocks in an anisotropic plasma, J. Plasma Physics, 1977, vol. 17, no. 3, pp. 419–432.

    Article  Google Scholar 

  5. Kuznetsov, V.D. and Dzhalilov, N.S., Sixteen-moment approximation for a collisionless plasma: Waves and instabilities, Plasma Phys. Rep., 2009, vol. 35, no. 11, pp. 962–975.

    Article  Google Scholar 

  6. Kuznetsov, V.D. and Osin, A.I., On the parallel shock waves in collisionless plasma with heat fluxes, Phys. Lett. A, 2018, vol. 382, pp. 2052–2054. https://doi.org/10.1016/j.physleta.2018.05.029

    Article  Google Scholar 

  7. Kuznetsov, V.D. and Osin, A.I., On the shock induced instabilities in collisionless plasma, Phys. Lett. A, 2020a, vol. 384, p. 126346. https://doi.org/10.1016/j.physleta.2020.126346

    Article  Google Scholar 

  8. Kuznetsov, V.D. and Osin, A.I., On the properties of solutions for MHD shock waves in collisionless plasma with heat fluxes, Arxiv, 2020b. https://arxiv.org/pdf/ 2003.09928.

  9. Lynn, Y.M., Discontinuities in an anisotropic plasma, Phys. Fluids, 1967, vol. 10, pp. 2278–2280.

    Article  Google Scholar 

  10. Matteini, L., Landi, S., Hellinger, P., et al., Evolution of the solar wind proton temperature anisotropy from 0.3 to 2.5 AU, Geophys. Res. Lett., 2007, vol. 34, L20105.

    Article  Google Scholar 

  11. Namikawa, T. and Hamabata, H., Propagation of hydrodynamic waves through a collisionless, heat-conducting plasma, J. Plasma Phys., 1981, vol. 26, no. 1, pp. 95–121.

    Article  Google Scholar 

  12. Neubauer, F.M., Jump relations for shocks in an anisotropic plasma, Z. Phys., 1970, vol. 237, pp. 205–223.

    Article  Google Scholar 

  13. Oraevskii, V.N., Chodura, R., and Feneberg, W., Hydrodynamic equations for plasmas in strong magnetic fields, I, Plasma Phys., 1968, vol. 10, pp. 819–828.

    Article  Google Scholar 

  14. Polovin, R.V. and Demutskii, V.P., Fundamentals of Magnetohydrodynamics, Springer, 1990.

    Google Scholar 

  15. Ramos, J.J., Dynamic evolution of the heat fluxes in a collisionless magnetized plasma, Phys. Plasmas, 2003, vol. 10, no. 9, pp. 3601–3607.

    Article  Google Scholar 

  16. Stansby, D., Salem, C., Matteini, L., and Horbury, T., A new inner heliosphere proton parameter dataset from the Helios mission, Sol. Phys., 2018, vol. 293, no. 11, id 155.

  17. Taussig, R.T., Normal ionizing shock waves, Phys. Fluids, 1965, vol. 8, no. 9, pp. 1616–1627.

    Article  Google Scholar 

  18. Zakharov, V.Yu., Low-amplitude waves in a collisionless magnetized plasma, in Voprosy magnitnoi gidrodinamiki plazmy bez stolknovenii v sil’nom magnitnom pole (Problems in Magnetohydrodynamics of a Collisionless Plasma in Strong Magnetic Field), Lyubimov, G.A. and Shikin, I.S., Eds., Moscow: MGU, 1988, pp. 48–70.

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to V. D. Kuznetsov or A. I. Osin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kuznetsov, V.D., Osin, A.I. Heat Fluxes in Collisionless Magnetohydrodynamic Shock Waves. Geomagn. Aeron. 60, 804–810 (2020). https://doi.org/10.1134/S0016793220070154

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0016793220070154

Navigation