CLASSIFICATION OF DIAGRAMS FOR A PLASMA EQUATION-OF-STATE

Journal Article · Sun Jan 01 04:00:00 EST 1961 · J. Nuclear Energy, Pt. C. Plasma Phys.-Accelerators-Thermonuclear Research

DOI:https://doi.org/10.1088/0368-3281/2/1/332· OSTI ID:4014466

Levine, H B

Utilizing the Montroll-Ward approach to quantum statistics, generalized to many components, an equation of state is obtained for a high-temperature low- density plasma. A classification of diagrams is proposed analogous to that used in classical statistical mechanics. In the resulting expansion, the leading term is the ideal gas contribution plus the lowest-order exchange contribution plus the ring contribution, the latter representing the pressure effect of collective motions of a completely ionized plasma. Higher terms represent, successively, contributions of the single-particle motions. The classification eliminated the ultraviolet catastrophe which ordinarily arises in the treatment of Coulomb force bound states in statistical mechanics, since, in effect, it uses a screened Coulomb potential instead of the ordinary potential. In addition, the short range divergence, which occurs in classical theory because of the "fall" of the electron to the nucleus, does not arise, being prevented by the uncertainty principle. (auth)

• Research Organization: Univ. of California, Livermore
• NSA Number: NSA-15-017684
• OSTI ID: 4014466
• Report Number(s): UCRL-5618
• Journal Information: J. Nuclear Energy, Pt. C. Plasma Phys.-Accelerators-Thermonuclear Research, Journal Name: J. Nuclear Energy, Pt. C. Plasma Phys.-Accelerators-Thermonuclear Research Vol. Vol: 2
• Country of Publication: United States
• Language: English

Related Subjects

BOUND STATE
COLLECTIVE MODEL
DENSITY
DIAGRAMS
DIFFERENTIAL EQUATIONS
ELECTRIC POTENTIAL
ELECTRONS
ENERGY LEVELS
GASES
HIGH TEMPERATURE
IONIZATION
MANY BODY PROBLEM
MECHANICS
MOTION
NUCLEAR MODELS
NUCLEI
PHYSICS
PLASMA
PRESSURE
QUANTUM MECHANICS
STATISTICS
THERMODYNAMICS