Abstract
The Kelvin–Helmholtz (K–H) instability in a magnetized nonuniform velocity sheared dusty plasma is investigated accounting for the effects of dust polarization force due to inhomogeneity in background plasma number densities. A three-component fluid model for dusty plasma is formulated considering Boltzmann electron/ion fluids and flowing magnetized dust fluids whose dynamics are affected due to the presence of dust polarization force. A dispersion relation for the K–H instability is derived by applying normal mode analysis on the linearized perturbation equations of the system. It is found that the polarization parameter dependent dust acoustic mode significantly modifies the dispersion relation of the K–H instability. The critical shear required to excite the K–H instability (S > Scrit) decreases with an increase in the dust polarization parameter and dust cyclotron frequency. The growth rate of the K–H instability is observed to be suppressed due to the presence of the dust polarization parameter. The results have been discussed for experimental magnetized dusty plasmas, which shows that under considered parametric limits, one cannot ignore the presence of dust polarization force on the excitation of the K–H instability in dusty plasmas. The astrophysical consequences are also discussed in Saturn’s E-ring in the limiting case of varying dust grain size.
Highlights
The Kelvin–Helmholtz (K–H) instability is known to be a parallel velocity shear instability that occurs in a plasma flowing parallel to the direction of the magnetic field with cross direction velocity flow to the magnetic field
The critical shear required to excite the K–H instability in sheared dusty plasmas scitation.org/journal/adv in λ, but it decreases due to the increase in the polarization parameter
We have presented analytical studies of the K–H instability in magnetized sheared dusty plasmas considering dust polarization force
Summary
The Kelvin–Helmholtz (K–H) instability is known to be a parallel velocity shear instability that occurs in a plasma flowing parallel to the direction of the magnetic field with cross direction velocity flow to the magnetic field. Luo et al. performed experimental studies to observe the effects of negative charged dust particles on the K–H instability in a magnetized cesium plasma. They estimated the shear parameter S ≈ 0.5–2.0 by computing the radial derivative of the parallel ion flow ∂vi(r)/∂r. Owing to large astrophysical and laboratory significance of dust polarization in nonuniform dusty plasmas, one should consider this force for the investigations of the K–H instability. In this paper, we have investigated, for the first time, the effects of polarization force on the K–H instability of magnetized nonuniform sheared dusty plasmas.
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