PMID: 22587190May 17, 2012Paper

Dielectric function beyond the random-phase approximation: kinetic theory versus linear response theory

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H Reinholz, G Röpke

Abstract

Calculating the frequency-dependent dielectric function for strongly coupled plasmas, the relations within kinetic theory and linear response theory are derived and discussed in comparison. In this context, we give a proof that the Kohler variational principle can be extended to arbitrary frequencies. It is shown to be a special case of the Zubarev method for the construction of a nonequilibrium statistical operator from the principle of the extremum of entropy production. Within kinetic theory, the commonly used energy-dependent relaxation time approach is strictly valid only for the Lorentz plasma in the static case. It is compared with the result from linear response theory that includes electron-electron interactions and applies for arbitrary frequencies, including bremsstrahlung emission. It is shown how a general approach to linear response encompasses the different approximations and opens options for systematic improvements.

References

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Jan 15, 1989·Physical Review A: General Physics·G Röpke, R Redmer
Nov 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H ReinholzS Nagel
Sep 15, 1994·Physical Review. B, Condensed Matter·C F Richardson, N W Ashcroft
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H ReinholzA Wierling
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Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G RöpkeH Reinholz
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W A StygarD L Fehl
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Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C Fortmann

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Citations

Feb 20, 2020·Physical Review. E·Nathaniel R Shaffer, Charles E Starrett
May 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H ReinholzR Redmer
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H B NersisyanH H Matevosyan

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