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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
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
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
Linking options:
https://www.mathnet.ru/eng/mm4313 https://www.mathnet.ru/eng/mm/v33/i8/p83
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Abstract page: | 224 | Full-text PDF : | 40 | References: | 50 | First page: | 4 |
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