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Title: Density-matrix correlations in the relaxation theory of electron broadening

Abstract

Spectral lines of radiating atoms are broadened by perturbations due to the surrounding plasma environment. In line-broadening calculations, the statistical average of the perturbation is weighted by the density matrix, which, in thermal equilibrium, contains correlations between the radiator and plasma. These correlations, however, have been neglected by all line-broadening theories except for the kinetic theory. The relaxation theory of line broadening is a mathematically exact derivation containing only one physical approximation: neglect of density- matrix correlations. We revisit this derivation and improve it by including the correlations. The line-broadening operator derived with the updated relaxation theory differs from that derived from the kinetic theory, though both derivations are considered to be exact. The kinetic theory derivation predicts that density-matrix correlations result a strong static shift of spectral lines. Our derivation, on the other hand, predicts that the correlations are a frequency-dependent effect that affects the line wings, and there is no shift of the line due to correlations. In addition, we predict that changes in the line shape due to correlations are only noticeable at extremely high densities. To distinguish the more appropriate model, we compare the shifts calculated with the relaxation and kinetic theory with data. The comparisonmore » shows support for the relaxation theory and casts into doubt the accuracy of the derivation of the kinetic theory of line broadening.« less

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [3]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Univ. of Texas, Austin, TX (United States)
Publication Date:
Research Org.:
Univ. of Texas, Austin, TX (United States); The Univ. of Texas at Austin, Austin, TX (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
Contributing Org.:
Dr. Carlos Iglesias, Dr. Stephanie Hansen, Dr. Andrew Baczewski, and Dr. Daniel Jensen for stimulating discussions; Marc Schaeuble for help with the manuscript.
OSTI Identifier:
1507368
Alternate Identifier(s):
OSTI ID: 1460481; OSTI ID: 1574106
Grant/Contract Number:  
NA0003843; FWP-14-017426; SC0010623; FOA-0001634
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 98; Journal Issue: 1; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Gomez, Thomas A., Nagayama, Taisuke, Kilcrease, David P., Montgomery, Michael H., and Winget, Donald E. Density-matrix correlations in the relaxation theory of electron broadening. United States: N. p., 2018. Web. doi:10.1103/PhysRevA.98.012505.
Gomez, Thomas A., Nagayama, Taisuke, Kilcrease, David P., Montgomery, Michael H., & Winget, Donald E. Density-matrix correlations in the relaxation theory of electron broadening. United States. doi:10.1103/PhysRevA.98.012505.
Gomez, Thomas A., Nagayama, Taisuke, Kilcrease, David P., Montgomery, Michael H., and Winget, Donald E. Mon . "Density-matrix correlations in the relaxation theory of electron broadening". United States. doi:10.1103/PhysRevA.98.012505. https://www.osti.gov/servlets/purl/1507368.
@article{osti_1507368,
title = {Density-matrix correlations in the relaxation theory of electron broadening},
author = {Gomez, Thomas A. and Nagayama, Taisuke and Kilcrease, David P. and Montgomery, Michael H. and Winget, Donald E.},
abstractNote = {Spectral lines of radiating atoms are broadened by perturbations due to the surrounding plasma environment. In line-broadening calculations, the statistical average of the perturbation is weighted by the density matrix, which, in thermal equilibrium, contains correlations between the radiator and plasma. These correlations, however, have been neglected by all line-broadening theories except for the kinetic theory. The relaxation theory of line broadening is a mathematically exact derivation containing only one physical approximation: neglect of density- matrix correlations. We revisit this derivation and improve it by including the correlations. The line-broadening operator derived with the updated relaxation theory differs from that derived from the kinetic theory, though both derivations are considered to be exact. The kinetic theory derivation predicts that density-matrix correlations result a strong static shift of spectral lines. Our derivation, on the other hand, predicts that the correlations are a frequency-dependent effect that affects the line wings, and there is no shift of the line due to correlations. In addition, we predict that changes in the line shape due to correlations are only noticeable at extremely high densities. To distinguish the more appropriate model, we compare the shifts calculated with the relaxation and kinetic theory with data. The comparison shows support for the relaxation theory and casts into doubt the accuracy of the derivation of the kinetic theory of line broadening.},
doi = {10.1103/PhysRevA.98.012505},
journal = {Physical Review A},
number = 1,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}

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