General structure of the Thomas-Fermi equation of state

Journal Article · Thu Aug 15 04:00:00 EDT 1991 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.44.2271· OSTI ID:5369615

Baker, Jr, G A; Johnson, J D ^[1]

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1. Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico (USA)

We derive the behavior of the Thomas-Fermi equation of state near both the hot-curve'' (the limit as {ital T}{r arrow}{infinity} for a fixed de Broglie length) and the cold-curve'' (the zero-temperature isotherm) by using perturbation methods. We derive efficient computational formulas for the coefficients in these expansions using Pade methods. We are able to meld all of these results into a structurally correct representation of the Thomas-Fermi fluid pressure. We indicate how this representational structure can be used to construct the equation of state for realistic materials over large ranges of temperature and pressure. We also discuss the computation of the degree of ionization with and without the exchange correction.

• OSTI ID: 5369615
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 44:4; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMIC MODELS
DE BROGLIE WAVELENGTH
DEBYE LENGTH
DIMENSIONS
EQUATIONS
EQUATIONS OF STATE
FERMI GAS
FLUIDS
GASES
LENGTH
LOW TEMPERATURE
MATHEMATICAL MODELS
PADE APPROXIMATION
PHYSICAL PROPERTIES
QUANTUM FLUIDS
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
THOMAS-FERMI MODEL