Abstract:
The study of Kelvin Helmholtz instability is proposed for quantum plasma
systems on implement the Quantum Hydrodynamic (QHD) type. For the instability
analysis, dispersion relation is derived for an electrostatic mode for a non-relativistic
quantum plasma system where quantum effects are considered on taking Fermi
pressure, exchange-correlation potential and tunneling potential with and without
the collisional effects. The imaginary part of the dispersion relation provided the
damping of the Kelvin Helmholtz Instability (KHI) in quantum plasmas. The
analytical result is studied numerically on varying different parameters like external
magnetic field, streaming speed, electron number density and the gradient scale
length over the KHI, depicted in the terms of graphs.