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

H. Reinholz*

G. Röpke

  • Universität Rostock, Institut für Physik, 18051 Rostock, Germany, Johannes-Kepler-Universität, Institut für Physik, 4040 Linz, Austria, and University of Western Australia School of Physics, WA 6009 Crawley, Australia

  • Universität Rostock, Institut für Physik, 18051 Rostock, Germany

  • *heidi.reinholz@uni-rostock.de
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Phys. Rev. E 85, 036401 – Published 8 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.036401

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.

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Phys. Rev. E 85, 036401– Published 8 March, 2012
  • Received 9 November 2011

©2012 American Physical Society

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