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

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871806· OSTI ID:278972

Fromy, P; Deutsch, C; Maynard, G ^[1]

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1. Laboratoire de Physique des Gaz et Plasmas (Associe au CNRS), Bat. 212, Universite Paris XI, 91405 Orsay (France)

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.}

• OSTI ID: 278972
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 3; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ATOMIC MODELS
DENSE PLASMA
DENSITY FUNCTIONAL METHOD
EQUATIONS OF STATE
HOT PLASMA
IONIZED GASES
THERMODYNAMIC PROPERTIES
THOMAS-FERMI MODEL