Finite temperature static charge screening in quantum plasmas

Bengt Eliasson, Massoud Akbari-Moghanjoughi

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The shielding potential around a test charge is calculated, using the linearized quantum hydrodynamic formulation with the statistical pressure and Bohm potential derived from finite temperature kinetic theory, and the temperature effects on the force between ions is assessed. The derived screening potential covers the full range of electron degeneracy in the equation of state of the plasma electrons. An attractive force between shielded ions in an arbitrary degenerate plasma exists below a critical temperature and density. The effect of the temperature on the screening potential profile qualitatively describes the ion-ion bound interaction strength and length variations. This may be used to investigate physical properties of plasmas and in molecular-dynamics simulations of fermion plasma. It is further shown that the Bohm potential including the kinetic corrections has a profound effect on the Thomson scattering cross section in quantum plasmas with arbitrary degeneracy.
LanguageEnglish
Number of pages18
JournalPhysics Letters A
Early online date27 May 2016
DOIs
Publication statusE-pub ahead of print - 27 May 2016

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screening
ions
temperature
Thomson scattering
electron plasma
kinetic theory
scattering cross sections
shielding
temperature effects
critical temperature
equations of state
physical properties
fermions
hydrodynamics
molecular dynamics
formulations
kinetics
profiles
electrons
simulation

Keywords

  • quantum plasma
  • screening
  • Fermi-Dirac distribution

Cite this

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Finite temperature static charge screening in quantum plasmas. / Eliasson, Bengt; Akbari-Moghanjoughi, Massoud.

In: Physics Letters A, 27.05.2016.

Research output: Contribution to journalArticle

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T1 - Finite temperature static charge screening in quantum plasmas

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AU - Akbari-Moghanjoughi, Massoud

PY - 2016/5/27

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AB - The shielding potential around a test charge is calculated, using the linearized quantum hydrodynamic formulation with the statistical pressure and Bohm potential derived from finite temperature kinetic theory, and the temperature effects on the force between ions is assessed. The derived screening potential covers the full range of electron degeneracy in the equation of state of the plasma electrons. An attractive force between shielded ions in an arbitrary degenerate plasma exists below a critical temperature and density. The effect of the temperature on the screening potential profile qualitatively describes the ion-ion bound interaction strength and length variations. This may be used to investigate physical properties of plasmas and in molecular-dynamics simulations of fermion plasma. It is further shown that the Bohm potential including the kinetic corrections has a profound effect on the Thomson scattering cross section in quantum plasmas with arbitrary degeneracy.

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KW - screening

KW - Fermi-Dirac distribution

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