Eigenmodes of the Boundary of a Magnetic Barrier Flowed Around by Plasma: the Boundary Membrane Model, Linear and Nonlinear Resonances, and Couplings with Internal Modes

Savin S.P. Lyakhov V.V. Neshchadim V.M. Zelenyi L.M. Nemecek Z. Safrankova J. Klimov S.I. Skalsky S.A. Ryazantseva M.O. Rakhmanova L.S. Wang C. Li H. Blecki J. Rauch J.-L. Kozak L. Suvorova A. Lezhen L.A.
February 2021 Pleiades journals

Journal of Experimental and Theoretical Physics
2021 #132 Issue 2 285 - 293 pp.

Abstract: The linear and nonlinear resonances and cascades affecting significantly the interaction of a collisionless plasma flow with a magnetic barrier and the plasma penetration into the barrier are studied using the near-Earth magnetopause as an example. Our linear theory of the membrane instability of the boundary of a magnetic barrier, the magnetopause, explains the structure of the spectra and bi-spectra of fluctuations on different segments of the boundary layers near the magnetopause and the resonances at frequencies 0.05–0.5 mHz. The recorded compressibility of waves under the magnetopause implies that their excitation by Alfv’en resonances alone is impossible. We assume, as a general principle, an approximate coincidence of the frequencies of different harmonics of different resonances as a condition for the amplification of resonances to nonlinear amplitudes and their propagation into the ionosphere. We confirm the presence of resonant waves near the magnetopause and demonstrate a nonlinear three-wave cascade interaction of compressible (0.05–5 mHz) and incompressible waves under the magnetopause that provides the excitation of resonances of magnetic field lines and waveguide resonances at frequencies 1–25 mHz without a close coincidence of the frequencies with linear resonances at the magnetopause and the bow shock. This can also provide a nonlinear coupling of linear and nonlinear resonances in other multilayered media (for example, in the plasma and neutral sheets of the geomagnetic tail and between it and the magnetopause). An example of the excitation of a waveguide mode inside the magnetopause by nonlinear membrane waves is given. We have detected a nonlinear excitation and interaction of most “magic” harmonics under the magnetopause.

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Space Research Institute, Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russian Federation
DTO “Institute of Ionosphere”, Almaty, 050020, Kazakhstan
Charles University, Prague, 1636, Czech Republic
National Space Science Center, SAS, Beijing, 100190, China
Space Research Center, Warsaw, 57622, Poland
Laboratory of Physics and Chemistry of the Environment and Space, Orleans, 45071, France
Kyiv Taras Shevchenko University, SRI NASU-SSAU, Kyiv, 01601, Ukraine
GPS Science and Application Research Center, National Central University, Taoyuan, 32001, Taiwan

Space Research Institute
DTO “Institute of Ionosphere”
Charles University
National Space Science Center
Space Research Center
Laboratory of Physics and Chemistry of the Environment and Space
Kyiv Taras Shevchenko University
GPS Science and Application Research Center

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