Abstract
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In this paper, the generalized viscoelastic collisional quantum hydrodynamic model is employed in
order to investigate the linear dielectric response of a quantum plasma in the presence of strong
electron-beam plasma interactions. The generalized Chandrasekhar’s relativistic degeneracy
pressure together with the electron-exchange and Coulomb interaction effects are taken into
account in order to extend current research to a wide range of plasma number density relevant to
big planetary cores and astrophysical compact objects. The previously calculated shear viscosity
and the electron-ion collision frequencies are used for strongly coupled ion fluid. The effect of the
electron-beam velocity on complex linear dielectric function is found to be profound. This effect is
clearly interpreted in terms of the wave-particle interactions and their energy-exchange according
to the sign of the imaginary dielectric function, which is closely related to the wave attenuation
coefficient in plasmas. Such kinetic effect is also shown to be in close connection with the stopping
power of a charged-particle beam in a quantum plasma. The effect of many independent plasma
parameters, such as the ion charge-state, electron beam-velocity, and relativistic degeneracy, is
shown to be significant on the growing/damping of plasma instability or energy loss/gain of the
electron-beam.
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