Nonlinear interection of alfven waves and ionic acoustic waves in a magnetized plasma

1Yukhimuk, AK, 2Fal'ko, OG, 3Yukhimuk, VA, 1Kucherenko, VP, 2Fedun, VN
1Main Astronomical Observatory of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
2Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
3Taras Shevchenko National University of Kyiv, Kyiv, Ukraine; Newcastle University , Newcastle, Australia
Kosm. nauka tehnol. 1996, 2 ;(2):44–48
https://doi.org/10.15407/knit1996.03.044
Section: Space and Atmospheric Physics
Publication Language: Russian
Abstract: 
Nonlinear parametric interaction of kinetic Alfven waves and ionic acoustic waves in a magnetized plasma is considered on the basis of the two-fluid MHD. A nonlinear dispersion equation describing three-wave interaction is obtained. Expression is found for the growth rate of parametric instability. The instability growth rate is proportional to electron inertia length. Therefore, this process is possible only if one takes the electron inertia for Alfven waves into account. We use our theoretical results to explain some nonlinear processes in the ionospheric and space plasmas. For instance, the data from the recently launched "Freja" satellite show a close relationship between Alfven wave activity and ionic acoustic wave activity within auroral energization regions. These spikes of electromagnetic turbulence are interpreted as kinetic Alfven waves with a transverse scale of the order of the electron inertia length (с/wре  ~1 km).
Keywords: Alfven waves, ionic acoustic waves, ionosphere, parametric instability
References: 
Voitenko Yu. M. Superalfven Beams and Kinetic Alfven Waves in Cosmic  Plasma: Preprint No. ITP-89-9R (Institute for Theoretical Physics AS USSR), 42 p. (Kiev, 1989) [in Russian].
Vojtenko Yu. M., Krishtal' A. N., Malovichko P. P., Yukhimuk A. K. Current instability and generation of kinetic Alfvén waves in the Earth's magnetosphere. Geomagn. Aehron., 30 (3), 402— 406 [in Russian].
Yukhimuk A. K., Yukhimuk V. A., Kucherenko V. P. Nonlinear mechanism of Alfven waves generation in magnetized plasma. Kinematika Fiz. Nebesn. Tel, 11 (5) 71—77 (1995) [in Russian].
Yukhimuk V. A., Yukhimuk A. K. Parametric excitation of upper-hybrid and ionic acoustic waves in the space plasma. Kinematika Fiz. Nebesn. Tel, 10 (6), 67—73 (1994) [in Russian].
Chian A., Lopes S. R., Alves M. V. Nonlinear exitation of Longmuir and Alfven Waves by auroral whistler waves in the planetary magnetosphere. Astron. and Astrophys., 288 (3), 981—984 (1994).
Hasegawa A, Chen L. Ring current instabilities in the magneto- hydrodynamic frequency range. Ann. Geophys., 10 (9), 644—646 (1992).
Louarn P., Wahlund J. E., Chust T., et al. Observation of kinetic Alfven by the Freja spacecraft. Geophys. Res. Lett., 21 (17), 1847—1850 (1994).
https://doi.org/10.1029/94GL00882
Wahlund J. E., Louarn P., Chust T., et al. On ion acoustic turbulence and the nonlinear evolution of kinetic Alfven waves in aurora. Geophys. Res. Lett. 21 (17), 1831 — 1834 (1994).
https://doi.org/10.1029/94GL01289
Yukhimuk A. K., Kotsarenko N. Ja., Yukhimuk V. A. Nonlinear interaction of Alfven waves in solar atmosphere. Study of the solar-terrestrial system: Proc. 26th ESLAB Symp. Killarney, 16—19 June 1992, P. 337—341 (Noordwijk, 1992).

Zhou H. L., Kuo S. P. Cascading of the upper hybrid/electron Bernstein wave in ionospheric heating experiments. Phys. Fluids, 1 (9), 3044—3052 (1994).
https://doi.org/10.1063/1.870929