Geodesic
Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an Alfv\'en wave by a dissipative plasma
Matematičeskoe modelirovanie, Tome 33 (2021) no. 8, pp. 83-96

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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. 
@article{MM_2021_33_8_a4,
     author = {A. A. Taiurskii},
     title = {Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an {Alfv\'en} wave by a dissipative plasma},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {83--96},
     publisher = {mathdoc},
     volume = {33},
     number = {8},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2021_33_8_a4/}
}
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A. A. Taiurskii. Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an Alfv\'en wave by a dissipative plasma. Matematičeskoe modelirovanie, Tome 33 (2021) no. 8, pp. 83-96. http://geodesic.mathdoc.fr/item/MM_2021_33_8_a4/