Correlations between conduction electrons in dense plasmas
Abstract
Most treatments of electron-electron correlations in dense plasmas either ignore them entirely (random phase approximation) or neglect the role of ions (jellium approximation). In this work, we go beyond both these approximations to derive a formula for the electron-electron static structure factor which properly accounts for the contributions of both ionic structure and quantum-mechanical dynamic response in the electrons. The result can be viewed as a natural extension of the quantum Ornstein-Zernike theory of ionic and electronic correlations, and it is suitable for dense plasmas in which the ions are classical and the conduction electrons are quantum-mechanical. Here, the corresponding electron-electron pair distribution functions are compared with the results of path integral Monte Carlo simulations, showing good agreement whenever no strong electron resonance states are present. We construct approximate potentials of mean force which describe the effective screened interaction between electrons. Significant deviations from Debye-Hückel screening are present at temperatures and densities relevant to high-energy density experiments involving warm and hot dense plasmas. The presence of correlations between conduction electrons is likely to influence the electron-electron contribution to the electrical and thermal conductivity. It is expected that excitation processes involving the conduction electrons (e.g., free-free absorption) will also be affected.
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1819148
- Report Number(s):
- LA-UR-19-30977
Journal ID: ISSN 2470-0045; TRN: US2214070
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 1; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Shaffer, Nathaniel Ray, and Starrett, Charles Edward. Correlations between conduction electrons in dense plasmas. United States: N. p., 2020.
Web. doi:10.1103/physreve.101.013208.
Shaffer, Nathaniel Ray, & Starrett, Charles Edward. Correlations between conduction electrons in dense plasmas. United States. https://doi.org/10.1103/physreve.101.013208
Shaffer, Nathaniel Ray, and Starrett, Charles Edward. Fri .
"Correlations between conduction electrons in dense plasmas". United States. https://doi.org/10.1103/physreve.101.013208. https://www.osti.gov/servlets/purl/1819148.
@article{osti_1819148,
title = {Correlations between conduction electrons in dense plasmas},
author = {Shaffer, Nathaniel Ray and Starrett, Charles Edward},
abstractNote = {Most treatments of electron-electron correlations in dense plasmas either ignore them entirely (random phase approximation) or neglect the role of ions (jellium approximation). In this work, we go beyond both these approximations to derive a formula for the electron-electron static structure factor which properly accounts for the contributions of both ionic structure and quantum-mechanical dynamic response in the electrons. The result can be viewed as a natural extension of the quantum Ornstein-Zernike theory of ionic and electronic correlations, and it is suitable for dense plasmas in which the ions are classical and the conduction electrons are quantum-mechanical. Here, the corresponding electron-electron pair distribution functions are compared with the results of path integral Monte Carlo simulations, showing good agreement whenever no strong electron resonance states are present. We construct approximate potentials of mean force which describe the effective screened interaction between electrons. Significant deviations from Debye-Hückel screening are present at temperatures and densities relevant to high-energy density experiments involving warm and hot dense plasmas. The presence of correlations between conduction electrons is likely to influence the electron-electron contribution to the electrical and thermal conductivity. It is expected that excitation processes involving the conduction electrons (e.g., free-free absorption) will also be affected.},
doi = {10.1103/physreve.101.013208},
journal = {Physical Review E},
number = 1,
volume = 101,
place = {United States},
year = {Fri Jan 31 00:00:00 EST 2020},
month = {Fri Jan 31 00:00:00 EST 2020}
}
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