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М.Б. Гавриков, А.А. Таюрский

58

ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2017. № 2

Таюрский Алексей Александрович

— канд. физ.-мат. наук, научный сотрудник ИПМ

им. М.В. Келдыша (Российская Федерация, 125047, Москва, Миусская пл., д. 4).

Просьба ссылаться на эту статью следующим образом:

Гавриков М.Б., Таюрский А.А. Пространственное нелинейное поглощение альфвенов-

ской волны диссипативной плазмой

//

Вестник МГТУ им. Н.Э. Баумана. Сер. Естествен-

ные науки. 2017. № 2. C. 40–59. DOI: 10.18698/1812-3368-2017-2-40-59

SPATIAL NONLINEAR ALFVEN WAVE ABSORPTION

BY DISSIPATIVE PLASMA

M.B. Gavrikov

1,

2

nadya_p@cognitive.ru

A.A. Tayurskiy

1

tayurskiy2001@mail.ru

1

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow,

Russian Federation

2

Bauman Moscow State Technical University, Moscow, Russian Federation

Abstract

Keywords

The mathematical model of Alfven wave absorption makes

it possible, in particular, to explain the anomalous heating

of the solar corona by Alfven waves generated in the lower,

much colder layers of the sun. According to calculations,

Alfven wave absorption occurs over distances of the skin

order, on which classical magnetohydrodynamics (MHD)

equations are obviously inapplicable. Therefore, the re-

search is based on equations of the two-fluid MHD with a

full account of the electron inertia. The study revealed

a number of important regularities, in particular, the depth

finitness of the layer heating, where Alfven waves penetrate

into plasma. In our research we evaluated the penetration

depth and established the parameters of Alfven waves

absorbed, and their convergence to the quasi-stationary

mode

Сlassic magnetohydrodynamics

(MHD), electromagnetic hydrody-

namics (EMHD), Alfven wave

absorption, bremsstrahlung

REFERENCES

[1] Alfvén H. Cosmical electrodynamics. Clarendon Press, 1963. 228 p.

[2] Landau L.D., Lifshits E.M. Teoreticheskaya fizika. T. 8. Elektrodinamika sploshnykh sred

[Theoretical physics. Vol. 8. Electrodynamics of continuous media]. Moscow, Nauka Publ.,

1982. 652 p.

[3] McIntosh S.W., Pe Pontien B., Carlsson M., Hansteen V., Boerner P., Goossens M. Alfvenic

waves with sufficient energy to power the quiet solar corona and fast solar wind.

Nature

, 2011,

vol. 475, pp. 478–480. DOI: 10.1038/nature10235

Available at:

http://www.nature.com/nature/journal/v475/n7357/full/nature10235.html

[4] Braginskiy S.I. Yavleniya perenosa v plazme [Transport phenomenon in plasma].

Voprosy

teorii plazmy. Vyp. 1

[Plasma theory questions. Iss. 1]. Moscow, Gosatomizdat Publ., 1963,

pp. 183–272 (in Russ.).