A general nonlinear theory for low-frequencyelectromagnetic field generation due to high-frequency nonuniform andnonstationary electromagnetic radiations in cold, uniform, multicomponent,dusty magnetoplasmas is developed. This theory permits us to consider thenonlinear action of all waves that can exist in such plasmas. The equationsare derived for the dust grain velocities in the low-frequency nonlinearelectric fields arising due to the presence of electromagnetic cyclotronwaves travelling along the background magnetic field. The dust grains areconsidered to be magnetized as well as unmagnetized. Different regimes forthe dust particle dynamics, depending on the spatio-temporal change of thewave amplitudes and plasma parameters, are discussed. It is shown thatinduced nonlinear electric fields can have both an electrostatic andelectromagnetic nature. Conditions for maximum dust acceleration are found.The results obtained may be useful for understanding the possible mechanismsof dust grain dynamics in astrophysical, cosmic and laboratory plasmas underthe action of nonuniform and nonstationary electromagnetic waves.
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