NONLINEAR SCATTERING OF ALFVEN WAVES OFF LOW-FREQUENCY DUST MODES IN A MAGNETIZED DUSTY PLASMA

The three-wave nonlinear scattering of an electromagnetic Alfven wave off a low-frequency dust mode, viz. dust-Bernstein mode in a homogeneo us, magnetized, hot and collisionless dusty plasma, has been analytica lly investigated. The Vlasov equation in ter ms of gyrokinetic variabl es has been employed to find the nonlinear response of the plasma part icles including the finite-Larmor-radius thermal kinetic effects. An a pproximate expression for the comparative growth Fates of the three-wa ve parametric instability has been obtained. It is noted that for the usual dusty plasma parameters the parametric scattering of the electro magnetic Alfven waves through the dust-Bernstein modes in the low-dens ity limit is more efficient than that in the high-density limit.