Thomas-Fermi equation of state: The hot curve

Conference · Sun Jan 01 04:00:00 EST 1989

DOI:https://doi.org/10.1007/978-1-4613-0605-4_1· OSTI ID:5972885

Baker, Jr, G A; Johnson, J D

We derive the high-temperature limit of the equation of state based on the Thomas-Fermi statistical theory of the atom. The resulting ''hot curve'' is in fact the ideal Fermi gas. We expand the thermodynamic properties of this gas in powers of the fugacity and use this expansion to construct a representation of the pressure, accurate to about 0.1%. This representation is compared with the actual theory for aluminum and the ''hot curve'' is found to represent it well over a large region of interest in applications. 10 refs., 3 figs., 1 tab.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5972885
• Report Number(s): LA-UR-89-2100; CONF-890894-1; ON: DE89014229
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMIC MODELS
BOUNDARY CONDITIONS
ENERGY
EQUATIONS
EQUATIONS OF STATE
FERMI GAS
FLUIDS
FREE ENERGY
GASES
MATHEMATICAL MODELS
MATHEMATICS
PHYSICAL PROPERTIES
SERIES EXPANSION
STATISTICS
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
THOMAS-FERMI MODEL