Abstract

Kelvin–Helmholtz instability is examined by considering the dust charge fluctuations in a dusty plasma. Electrons and ions are assumed to be in Boltzmann equilibria and the dust grains to follow the fluid equations with a full adiabatic equation of state. The transverse shear in the flow parallel to the magnetic field is considered. The instability is found to grow for limiting wave numbers for a particular value of shear velocity. The effect of adiabatic dust plasma pressure is to enhance the growth rate of the instability. For dense plasma, growth of the instability is affected by the presence of dust charge fluctuations.

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