Parametric interaction of whistler waves and kinetic Alfvén waves in the space plasmas

Physics

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Satellite observations show a close relationship between the whistlers and lower-hybrid waves in space plasmas. Intense whistler waves generated by lighting discharges [17] or by quasi-monochromatic VLF transmitters can be unstable to three-wave parametric interaction. Work [7] demonstrates experimental results about excited lower hybrid waves by VLF whistler mode waves in the topside ionosphere and near magnetosphere. Kinetic Alfvén waves are often observed by satellites [21, 32]. In this paper we consider analytically a possible mechanism of this relationship - parametric interaction of whistler pump waves with lower-hybrid and Alfvén waves in magnetized plasma with small plasma parameter. In the dynamics of Alfvén waves the kinetic effects (finite ion Larmor radius and electron inertia) are taken into account. A nonlinear dispersion equation describing three-wave interaction is obtained in the framework of two-fluid magnetohydrodynamics. The instability growth rates and time of instability development are found. Our theoretical investigation shows that the whistler mode well be an effective source of the lower hybrid and Alfvén waves in the magnetospheric plasma. This nonlinear process can take place in the Earth magnetosphere and in the solar atmosphere. The products of the decay -- lower-hybrid and kinetic Alfvén waves -- can effectively interact with magnetospheric and solar plasmas.

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