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Matematicheskoe modelirovanie, 2021, Volume 33, Number 8, Pages 83–96
DOI: https://doi.org/10.20948/mm-2021-08-05
(Mi mm4313)
 

Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an Alfvén wave by a dissipative plasma

A. A. Taiurskii

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
References:
Abstract: The paper investigates a mathematical model of the absorption of an Alfvén wave in an inhomogeneous incompressible dissipative plasma using the equations of two-fluid electromagnetic hydrodynamics. It is shown that a consequence of taking into account bremsstrahlung is the finiteness of the penetration depth of the Alfvén wave into an inhomogeneous plasma and a steady quasi-stationary regime of the Alfvén wave absorption. Density inhomogeneities of two types are considered – hump and hollows, which are distributed according to the Gaussian law. The dependences on the value of the hump of the penetration depth of the Alfvén wave into the inhomogeneous plasma and the maximum temperatures of electrons and ions are obtained. The study showed that an increase in the amplitude of the incident wave leads to an increase in the maximum values of the electron and ion temperatures, as well as the depth of penetration of the Alfvén wave into an inhomogeneous dissipative plasma.
Keywords: classical MHD, electromagnetic hydrodynamics (EMHD), Alphen wave, bremsstrahlung.
Received: 09.03.2021
Revised: 28.04.2021
Accepted: 24.05.2021
English version:
Mathematical Models and Computer Simulations, 2022, Volume 14, Issue 2, Pages 241–249
DOI: https://doi.org/10.1134/S2070048222020144
Document Type: Article
Language: Russian
Citation: A. A. Taiurskii, “Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an Alfvén wave by a dissipative plasma”, Matem. Mod., 33:8 (2021), 83–96; Math. Models Comput. Simul., 14:2 (2022), 241–249
Citation in format AMSBIB
\Bibitem{Tay21}
\by A.~A.~Taiurskii
\paper Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an Alfv\'en wave by a dissipative plasma
\jour Matem. Mod.
\yr 2021
\vol 33
\issue 8
\pages 83--96
\mathnet{http://mi.mathnet.ru/mm4313}
\crossref{https://doi.org/10.20948/mm-2021-08-05}
\transl
\jour Math. Models Comput. Simul.
\yr 2022
\vol 14
\issue 2
\pages 241--249
\crossref{https://doi.org/10.1134/S2070048222020144}
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    Математическое моделирование
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