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Abstract
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In this paper the electrostatic two-stream instability is investigated for a large range of plasma numberdensity using the quantum hydrodynamic model by incorporating the relativistic degeneracy, electron-exchange, quantum diffraction and strong parallel quantizing magnetic field
effects. It is found that the electron diffraction effect significantly alters the instability growth rate in a wide range of
plasma number density. Two cases of classical and quantum
Landau quantization limits are compared and the parametric instability condition is closely inspected. It is remarked
that for a given streaming speed the instability is bounded by
an upper plasma number-density limit. It is also shown that
for a given stream speed there is a maximal growth rate corresponding to specific plasma number-density and perturbation wavelength. Current study can help in better understanding of electron-beam plasma interactions and energy
exchange for a wide area of number densities ranging from
solid density, inertial confined plasmas, big planetary cores
and compact stars. It may also be useful in understanding
of electrostatic beam-plasma interactions and origin of large
magnitude sustainable electrical currents in super-intense
plasmas with critically high magnetic fields such as, pulsars,
white dwarf interiors and neutron star crusts.
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