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Title: Thomas{endash}Fermi-like and average atom models for dense and hot matter

Abstract

All the Thomas{endash}Fermi approaches to the thermodynamics and atomic physics properties of dense and ionized matter consisting of a single element are systematically derived and compared within a density-functional theoretical framework. The corresponding results are contrasted to those of the average atom model by using similar approximations for exchange, correlation, and gradient corrections. Emphasis is led on equations of state, ionization, level shifts, and radial moments. The same numerical algorithms are used to unravel similar trends or identify specific ones, in terms of density and temperature variations. The most sophisticated Thomas{endash}Fermi{endash}Dirac{endash}Weiz{umlt a}cker method yields the closest results to the hybrid average atom model using quantized bound states. Parameters ranges of potential interest for inertially confined thermonuclear fusion stress out density in the 0.1{endash}10 times the solid, and temperature up to 10 keV. {copyright} {ital 1996 American Institute of Physics.}

Authors:
; ;  [1]
  1. Laboratoire de Physique des Gaz et Plasmas (Associe au CNRS), Bat. 212, Universite Paris XI, 91405 Orsay (France)
Publication Date:
OSTI Identifier:
278972
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 3; Journal Issue: 3; Other Information: PBD: Mar 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; 70 PLASMA PHYSICS AND FUSION; HOT PLASMA; THOMAS-FERMI MODEL; ATOMIC MODELS; EQUATIONS OF STATE; IONIZED GASES; THERMODYNAMIC PROPERTIES; DENSE PLASMA; DENSITY FUNCTIONAL METHOD

Citation Formats

Fromy, P, Deutsch, C, and Maynard, G. Thomas{endash}Fermi-like and average atom models for dense and hot matter. United States: N. p., 1996. Web. doi:10.1063/1.871806.
Fromy, P, Deutsch, C, & Maynard, G. Thomas{endash}Fermi-like and average atom models for dense and hot matter. United States. doi:10.1063/1.871806.
Fromy, P, Deutsch, C, and Maynard, G. Fri . "Thomas{endash}Fermi-like and average atom models for dense and hot matter". United States. doi:10.1063/1.871806.
@article{osti_278972,
title = {Thomas{endash}Fermi-like and average atom models for dense and hot matter},
author = {Fromy, P and Deutsch, C and Maynard, G},
abstractNote = {All the Thomas{endash}Fermi approaches to the thermodynamics and atomic physics properties of dense and ionized matter consisting of a single element are systematically derived and compared within a density-functional theoretical framework. The corresponding results are contrasted to those of the average atom model by using similar approximations for exchange, correlation, and gradient corrections. Emphasis is led on equations of state, ionization, level shifts, and radial moments. The same numerical algorithms are used to unravel similar trends or identify specific ones, in terms of density and temperature variations. The most sophisticated Thomas{endash}Fermi{endash}Dirac{endash}Weiz{umlt a}cker method yields the closest results to the hybrid average atom model using quantized bound states. Parameters ranges of potential interest for inertially confined thermonuclear fusion stress out density in the 0.1{endash}10 times the solid, and temperature up to 10 keV. {copyright} {ital 1996 American Institute of Physics.}},
doi = {10.1063/1.871806},
journal = {Physics of Plasmas},
number = 3,
volume = 3,
place = {United States},
year = {1996},
month = {3}
}