Kinetic Alfvén waves with finite Larmor radius effects have been examined rigorously in a uniform dusty plasma in the presence of an external/ambient magnetic field. Two-potential theory has been applied for these electromagnetic waves and the dispersion relation is derived which shows a cutoff frequency at the dust-lower-hybrid frequency due to the hybrid motion of magnetized ions and cold and unmagnetized dust dynamics. The dust charge fluctuation effect was analyzed for finding the damping of the electromagnetic kinetic Alfvén waves, which arises on account of the electrostatic parallel component of the waves. The dust charge fluctuation damping is seen to be contributed dominantly by the perpendicular motion of electrons and ions in the dusty magnetoplasma.

The instability of Dust-Lower-Hybrid (DLH) wave is examined in detail in the uniform dusty magnetoplasmas. The time dependent charging effects on dust particles around its equilibrium charge Qd0 are taken into account based on Orbit-Limited Probe theory. The quantum characteristics of the system like Bohm potential and Fermi degenerate pressure are dealt using the quantum hydrodynamic model of plasmas. The external magnetic field and size of the dust particles have new physical effects over the dissipative instability of DLH wave in the quantum plasma regime.

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The time-dependent charging phenomenon of dust particles is timely studied in quantum plasmas with low frequency dust dynamical temporal scales referred to as dust acoustic waves. The quantum effects are incorporated through Fermi pressure, exchange-correlation potential as well as the Bohm potential. The quantum fluid model is employed in getting the dispersion relation pointing to the damping instability. The damping instability is analysed across the whole spectrum k, on varying ion-thermal temperature, electron number density and the dust radii. The applications of this work are pointed out in the laboratory and the astrophysical dense plasma systems.

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