Abstract
The three-wave nonlinear scattering of an electromagnetic Alfven wave off a low-frequency dust mode,viz. dust-Bernstein mode in a homogeneous, magnetized, hot and collisionless dusty plasma, has been analytically investigated. The Vlasov equation in terms of gyrokinetic variables has been employed to find the nonlinear response of the plasma particles including the finite-Larmor-radius thermal kinetic effects. An approximate expression for the comparative growth rates of the three-wave parametric instability has been obtained. It is noted that for the usual dusty plasma parameters the parametric scattering of the electromagnetic Alfven waves through the dust-Bernstein modes in the low-density limit is more efficient than that in the high-density limit.
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