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Title: Coulomb log for conductivity of dense plasmas

Abstract

The Coulomb log (log Λ) approximation is widely used to approximate electron transport coefficients in dense plasmas. It is a classical approximation to the momentum transport cross section. Here, the accuracy of this approximation for electrical conductivity in dense plasmas is assessed by comparing to fully quantum mechanical calculations for realistic scattering potentials. It is found that the classical approximation is accurate to ±10% when log Λ > 3, irrespective of the plasma species. The thermodynamic regime (density and temperature) for which log Λ > 3 corresponds to does, however, strongly depend on the material. For increasing Z, log Λ is greater than 3 for increasingly high temperatures and lower densities.

Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1477704
Report Number(s):
LA-UR-18-27955
Journal ID: ISSN 1070-664X
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 9; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; electrical conductivity; plasmas; Born approximation; transport properties

Citation Formats

Starrett, C. E. Coulomb log for conductivity of dense plasmas. United States: N. p., 2018. Web. doi:10.1063/1.5053124.
Starrett, C. E. Coulomb log for conductivity of dense plasmas. United States. doi:10.1063/1.5053124.
Starrett, C. E. Thu . "Coulomb log for conductivity of dense plasmas". United States. doi:10.1063/1.5053124.
@article{osti_1477704,
title = {Coulomb log for conductivity of dense plasmas},
author = {Starrett, C. E.},
abstractNote = {The Coulomb log (log Λ) approximation is widely used to approximate electron transport coefficients in dense plasmas. It is a classical approximation to the momentum transport cross section. Here, the accuracy of this approximation for electrical conductivity in dense plasmas is assessed by comparing to fully quantum mechanical calculations for realistic scattering potentials. It is found that the classical approximation is accurate to ±10% when log Λ > 3, irrespective of the plasma species. The thermodynamic regime (density and temperature) for which log Λ > 3 corresponds to does, however, strongly depend on the material. For increasing Z, log Λ is greater than 3 for increasingly high temperatures and lower densities.},
doi = {10.1063/1.5053124},
journal = {Physics of Plasmas},
number = 9,
volume = 25,
place = {United States},
year = {Thu Sep 27 00:00:00 EDT 2018},
month = {Thu Sep 27 00:00:00 EDT 2018}
}

Journal Article:
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Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865