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

Heading: 
Space and Atmospheric Physics
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
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
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