Theoretical Modeling of an Ion-Beam-Driven Kelvin–Helmholtz Instability in a Plasma Cylinder Having Negatively Charged Dust Grains

An ion beam propagating through a magnetized plasma cylinder having negatively charged dust grains drives the Kelvin-Helmholtz instability (KHI) via Cerenkov interaction. The frequency and the growth rate of the KHI increase with the relative density of negatively charged dust grains δ. However, for large relative density of dust grains δ, the growth rate of KHI saturates. Moreover, beam density plays an important role in enhancing the growth rate of the KHI. It is also observed that finite boundary effects modify the dispersion properties of the KHI. The growth rate of KHI in a plasma cylinder is destabilized under the effect of dust charge fluctuations for relatively large velocity shears and low density of negatively charged dust grains δ. A comparative study of results is done for finite and infinite geometries of plasma waveguide.