Shielding of a moving test charge in a quantum plasma

The linearized potential of a moving test charge in a one-component fully degenerate fermion plasma is studied using the Lindhard dielectric function. The motion is found to greatly enhance the Friedel oscillations behind the charge, especially for velocities larger than half of the Fermi velocity,...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2010-08, Vol.82 (2 Pt 2), p.026410-026410, Article 026410
Main Authors: Else, D, Kompaneets, R, Vladimirov, S V
Format: Article
Language:English
Subjects:
AMPLITUDES
ASYMPTOTIC SOLUTIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIELECTRIC PROPERTIES
ELECTRIC POTENTIAL
ELECTRICAL PROPERTIES
FERMIONS
MATHEMATICAL SOLUTIONS
OSCILLATIONS
PERMITTIVITY
PHYSICAL PROPERTIES
PLASMA
PLASMA POTENTIAL
PLASMA WAVES
QUANTUM PLASMA
SHIELDING
TUNNEL EFFECT
VELOCITY
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Summary:The linearized potential of a moving test charge in a one-component fully degenerate fermion plasma is studied using the Lindhard dielectric function. The motion is found to greatly enhance the Friedel oscillations behind the charge, especially for velocities larger than half of the Fermi velocity, in which case the asymptotic behavior of their amplitude changes from 1/r3 to 1/r2.5. In the absence of the quantum recoil (tunneling) the potential reduces to a form similar to that in a classical Maxwellian plasma, with a difference being that the plasma oscillations behind the charge at velocities larger than the Fermi velocity are not Landau damped.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.82.026410