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Numerical Study of the Effect of Plasma Inhomogeneity with Bremsstrahlung and Photorecombination Radiation on the Absorption of an Alfven Wave

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Abstract

A mathematical model of the nonlinear absorption of a plane Alfven by a dissipative inhomogeneous plasma, due to dissipative effects, also bremsstrahlung and photorecombination radiation, are numerically investigated in the paper. Density inhomogeneities specified using a Gaussian distribution are considered. The study is based on the equations of two-fluid electromagnetic hydrodynamics with full allowance for the inertia of electrons. The proposed implicit difference scheme for computing plane-parallel flows of two-fluid plasma made it possible to reveal a number of important absorption patterns. In particular, it is shown that the dependence of absorption with allowance for bremsstrahlung and photorecombination radiation for an inhomogeneous plasma leads to the effect of blocking the Alfven wave in a dissipative plasma and the appearance of a quasi-stationary mode of absorption of the Alfven wave. The dependencies of the depth of penetration of the Alfven wave and the maximum temperatures of electrons and ions on the values of the density inhomogeneity are obtained.

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Funding

This work was supported by Moscow Center of Fundamental and Applied Mathematics, Agreement with the Ministry of Science and Higher Education of the Russian Federation, no. 075-15-2022-283.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    A. A. Taiurskii

  2. Bauman Moscow State Technical University, 105005, Moscow, Russia

    A. A. Taiurskii

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  1. A. A. Taiurskii
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Correspondence to A. A. Taiurskii.

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(Submitted by A. B. Muravnik)

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Taiurskii, A.A. Numerical Study of the Effect of Plasma Inhomogeneity with Bremsstrahlung and Photorecombination Radiation on the Absorption of an Alfven Wave. Lobachevskii J Math 44, 78–85 (2023). https://doi.org/10.1134/S1995080223010407

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  • DOI: https://doi.org/10.1134/S1995080223010407

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