Magnetodynamics of a multicomponent (dusty) plasma. I. Rotation waves near low-frequency cutoff in a homogeneous medium

By considering one of the species of a two-ion species plasma to be massive charged dust particles, the origin of the low-frequency cutoff in a multispecies plasma is found to be a fluid rotation of the light component with a characteristic frequency, Ωr=(ZnH∕ne)ΩL, where nH and ne are densities of the heavy component and electrons, respectively, Z is the charge state of the heavy component, and ΩL is the light ion cyclotron frequency. A fluid resonance at ω=Ωr modifies the properties of plasma oscillations in the vicinity of the cutoff and gives rise to the rotation waves in a manner similar to the cyclotron waves. The presence of a heavy component leads to the nonlinear Schrödinger equation for the system. The nonlinear dynamics of such a system consists of a combination of strong and weak turbulence with strong turbulence dominating in the long wavelength and the weak turbulence dominating in the short wavelength.