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Matematicheskoe modelirovanie, 2013, Volume 25, Number 8, Pages 65–79 (Mi mm3410)  

This article is cited in 8 scientific papers (total in 8 papers)

Spartial nonlinear absorption of Alfven waves in the dissipative plasma

M. B. Gavrikov, A. A. Tayurskiy

Keldysh Institute of Applied Mathematics RAS
Full-text PDF (519 kB) Citations (8)
References:
Abstract: In this paper we study numerically the nonlinear absorption of a plane Alfven wave incident on the stationary boundary dissipative plasma caused by the magnetic viscosity, hydrodynamic viscosity and thermal conductivity of electrons and ions and the energy exchange between plasma components. Relevance of the proposed research is caused by a number of workers in 2011, the heating mechanism of solar corona and solar wind generation as a result of the decay of plasma Alfven waves generated in the lower significantly colder layers of the sun. Since, as shown by calculations, the absorption of Alfvén waves occurs at wavelengths order of the skin, in which the equations of classical MHD clearly inapplicable, the research is based on equations of two-fluid magnetohydrodynamics taking into account the inertia of the electrons. The proposed implicit difference scheme for calculating the plane-parallel flows two-fluid plasma revealed a number of important patterns of absorption, in particular to study the dependence the absorption on Alfven wave frequency and electron thermal conductivity and viscosity.
Keywords: Alfven wave, electromagnetic hydrodynamics, magnetic viscosity, hydrodynamic viscosity and thermal conductivity of electrons and ions.
Received: 27.09.2012
Bibliographic databases:
Document Type: Article
UDC: 533.95
Language: Russian
Citation: M. B. Gavrikov, A. A. Tayurskiy, “Spartial nonlinear absorption of Alfven waves in the dissipative plasma”, Mat. Model., 25:8 (2013), 65–79
Citation in format AMSBIB
\Bibitem{GavTay13}
\by M.~B.~Gavrikov, A.~A.~Tayurskiy
\paper Spartial nonlinear absorption of Alfven waves in the dissipative plasma
\jour Mat. Model.
\yr 2013
\vol 25
\issue 8
\pages 65--79
\mathnet{http://mi.mathnet.ru/mm3410}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3202327}
Linking options:
  • https://www.mathnet.ru/eng/mm3410
  • https://www.mathnet.ru/eng/mm/v25/i8/p65
  • This publication is cited in the following 8 articles:
    1. A. A. Tayurskii, “Issledovanie vliyaniya neodnorodnosti plazmy s uchetom tormoznogo i fotorekombinatsionnogo izluchenii na pogloschenie alfvenovskoi volny”, Preprinty IPM im. M. V. Keldysha, 2023, 005, 16 pp.  mathnet  crossref
    2. A. A. Taiurskii, “Influence of plasma inhomogeneity with allowance for bremsstrahlung on nonlinear absorption of an Alfvén wave by a dissipative plasma”, Math. Models Comput. Simul., 14:2 (2022), 241–249  mathnet  crossref  crossref
    3. A. A. Tayurskii, “Vliyanie neodnorodnosti plazmy s uchetom tormoznogo izlucheniya na pogloschenie alfvenovskoi volny dissipativnoi plazmoi”, Preprinty IPM im. M. V. Keldysha, 2021, 016, 16 pp.  mathnet  crossref
    4. M. B. Gavrikov, A. A. Tayurskii, “Issledovanie vliyaniya neodnorodnosti plazmy na nelineinoe pogloschenie alfvenovskoi volny dissipativnoi plazmoi pri uchete fotorekombinatsionnogo izlucheniya”, Preprinty IPM im. M. V. Keldysha, 2020, 037, 16 pp.  mathnet  crossref
    5. Gavrikov M.B. Pestryakova V N. Taiurskii A.A., Xlvii Zvenigorod International Conference on Plasma Physics and Controlled Fusion, Journal of Physics Conference Series, 1647, ed. Ivanov V. Grishina I. Voronova E., IOP Publishing Ltd, 2020  crossref  isi
    6. M. B. Gavrikov, A. A. Taiurskii, “Influence of synchrotron and photorecombination radiation on absorption of alfven wave by dissipative plasma”, Math. Models Comput. Simul., 12:4 (2020), 579–589  mathnet  crossref  crossref  elib
    7. M. B. Gavrikov, A. A. Tayurskii, “Vliyanie sinkhrotronnogo i fotorekombinatsionnogo izluchenii na nelineinoe pogloschenie alfvenovskoi volny dissipativnoi plazmoi”, Preprinty IPM im. M. V. Keldysha, 2018, 234, 19 pp.  mathnet  crossref  elib
    8. Taiurskii A.A., Gavrikov M.B., “Spatial Nonlinear Absorption of Alfven Waves By Dissipative Plasma Taking Account Bremsstrahlung”, Application of Mathematics in Technical and Natural Sciences (Amitans'16), AIP Conference Proceedings, 1773, ed. Todorov M., Amer Inst Physics, 2016, 090003  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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