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Low-frequency instabilities of collisionless plasma and the 16-moment approximation

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Abstract

Using the 16-moment equations that take into account heat fluxes in anisotropic collisionless plasma, the properties of magnetohydrodynamic (MHD) instabilities are investigated. For all instabilities occurring in the MHD approach (the normal incompressible firehose instability, the second compressible almost longitudinal firehose instability, and the almost transverse mirror instability of slow magnetosonic modes, as well as thermal instability caused by the heat flux directed along the magnetic field), their kinetic analogs are considered. The kinetic dispersion relation in the low-frequency range in the vicinity of the ion thermal velocity is analyzed. The flow of plasma ions along the magnetic field is taken into account. The thresholds and instability growth rates obtained in the MHD and kinetic approaches are found to be in good agreement. This indicates that the 16-moment MHD equations adequately describe the dynamics of collisionless plasma.

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Authors and Affiliations

  1. Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow, 142190, Russia

    N. S. Dzhalilov & V. D. Kuznetsov

  2. Shamakhy Astrophysical Observatory, National Academy of Sciences of Azerbaijan, P.O.Box 153, Central Post Office, Baku, Az-1000, Azerbaijan

    N. S. Dzhalilov

Authors
  1. N. S. Dzhalilov
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  2. V. D. Kuznetsov
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Correspondence to N. S. Dzhalilov.

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Original Russian Text © N.S. Dzhalilov, V.D. Kuznetsov, 2013, published in Fizika Plazmy, 2013, Vol. 39, No. 12, pp. 1122–1130.

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Dzhalilov, N.S., Kuznetsov, V.D. Low-frequency instabilities of collisionless plasma and the 16-moment approximation. Plasma Phys. Rep. 39, 1026–1034 (2013). https://doi.org/10.1134/S1063780X13120027

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  • DOI: https://doi.org/10.1134/S1063780X13120027

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