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.
Similar content being viewed by others
REFERENCES
Abraham-Shrauner, B., Shock jump conditions for an anisotropic plasma, J. Plasma Phys., 1967, vol. 1, no. 3, pp. 379–381.
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.
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.
Hudson, P.D., Shocks in an anisotropic plasma, J. Plasma Physics, 1977, vol. 17, no. 3, pp. 419–432.
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.
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
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
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.
Lynn, Y.M., Discontinuities in an anisotropic plasma, Phys. Fluids, 1967, vol. 10, pp. 2278–2280.
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.
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.
Neubauer, F.M., Jump relations for shocks in an anisotropic plasma, Z. Phys., 1970, vol. 237, pp. 205–223.
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.
Polovin, R.V. and Demutskii, V.P., Fundamentals of Magnetohydrodynamics, Springer, 1990.
Ramos, J.J., Dynamic evolution of the heat fluxes in a collisionless magnetized plasma, Phys. Plasmas, 2003, vol. 10, no. 9, pp. 3601–3607.
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.
Taussig, R.T., Normal ionizing shock waves, Phys. Fluids, 1965, vol. 8, no. 9, pp. 1616–1627.
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.
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0016793220070154