Thomas-Fermi equation of state: The hot curve
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 Laboratory (LANL), Los Alamos, NM (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5972885
- Report Number(s):
- LA-UR-89-2100; CONF-890894-1; ON: DE89014229
- Resource Relation:
- Conference: 13. international workshop on condensed matter theories, Campos de Jordao, Brazil, 6-12 Aug 1989; Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
Similar Records
General structure of the Thomas-Fermi equation of state
Equation of state and sound velocity of a helium plasma by Thomas-Fermi-Dirac molecular dynamics
Universal approximate analytical solution of the Thomas--Fermi equation for ions
Journal Article
·
Thu Aug 15 00:00:00 EDT 1991
· Physical Review A. General Physics; (United States)
·
OSTI ID:5972885
Equation of state and sound velocity of a helium plasma by Thomas-Fermi-Dirac molecular dynamics
Journal Article
·
Fri Sep 15 00:00:00 EDT 2006
· Physics of Plasmas
·
OSTI ID:5972885
Universal approximate analytical solution of the Thomas--Fermi equation for ions
Journal Article
·
Mon Oct 01 00:00:00 EDT 1973
· Phys. Rev., A, v. 8, no. 4, pp. 1688-1701
·
OSTI ID:5972885
Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS OF STATE
THOMAS-FERMI MODEL
BOUNDARY CONDITIONS
FERMI GAS
FREE ENERGY
SERIES EXPANSION
STATISTICS
TEMPERATURE DEPENDENCE
ATOMIC MODELS
ENERGY
EQUATIONS
FLUIDS
GASES
MATHEMATICAL MODELS
MATHEMATICS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS OF STATE
THOMAS-FERMI MODEL
BOUNDARY CONDITIONS
FERMI GAS
FREE ENERGY
SERIES EXPANSION
STATISTICS
TEMPERATURE DEPENDENCE
ATOMIC MODELS
ENERGY
EQUATIONS
FLUIDS
GASES
MATHEMATICAL MODELS
MATHEMATICS
PHYSICAL PROPERTIES
THERMODYNAMIC PROPERTIES
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics