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Stability of Alfvén modes in a collisionless anisotropic plasma confined by a highly curved magnetic field

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Abstract

The stability of Alfvén modes in a collisionless plasma with an anisotropic pressure in a highly curved magnetic field is studied. A linearized equation for describing longitudinally nonuniform MHD perturbations with frequencies below the bounce frequency is derived. In this equation, the perturbations of longitudinal and transverse pressures are calculated using a collisionless kinetic equation. It is shown that longitudinal fluxes of the transverse and longitudinal plasma energies give rise to pressure perturbations different from those in the Chew-Goldberger-Low collisionless hydrodynamics. The corresponding energy principle is constructed. A stability criterion for Alfvén modes is obtained and is found to be more stringent than that in the Chew-Gold-berger-Low model.

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Authors and Affiliations

  1. Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia

    I. A. Grigor’ev & V. P. Pastukhov

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  1. I. A. Grigor’ev
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  2. V. P. Pastukhov
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Original Russian Text © I.A. Grigor’ev, V.P. Pastukhov, 2008, published in Fizika Plazmy, 2008, Vol. 34, No. 4, pp. 297–310.

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Grigor’ev, I.A., Pastukhov, V.P. Stability of Alfvén modes in a collisionless anisotropic plasma confined by a highly curved magnetic field. Plasma Phys. Rep. 34, 265–277 (2008). https://doi.org/10.1134/S1063780X08040028

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  • DOI: https://doi.org/10.1134/S1063780X08040028

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