The self-consistent determination of HF electroconductivity of strongly coupled plasmas

TL;DR

This paper presents a self-consistent method to calculate the dynamic electrical conductivity of strongly coupled, fully ionized plasmas across a wide range of densities and temperatures, using Green function theory and Matsubara frequencies.

Contribution

It introduces a novel self-consistent approach based on Green function methods to determine plasma conductivity as a function of frequency, extending previous models.

Findings

Results agree well with existing theoretical data.

Provides conductivity data for high-density plasmas.

Models the real and imaginary parts of conductivity across frequencies.

Abstract

Here is presented the calculation of the dynamic electrical conductivity of fully ionized, strongly coupled plasmas as a function of the external electric field frequency $\omega$. The calculations are based on the the formula for the energy-dependent collision frequency which is determined by means of the Green function theory methods, as a sum over the Matsubara frequencies. The domain of extremely high electron density: $10^{21}\leq n_{e}\leq 10^{24} \textrm{cm}^{-3}$, and for the temperature varying from $10 \textrm{kK}$ to $1.000 \textrm{kK}$ was examined. The real and imaginary parts of the conductivity for every electron density are presented in the generalized Drude-like form as a two-parameter function of the frequency $\omega$ in the region $0 < \omega < 0.5\omega_{p}$, where $\omega_{p}$ is the plasma frequency. A good agreement between the obtained results and the existing theoretical and computing simulation data is shown.