Fermi-degeneracy and discrete-ion effects in the spherical-cell model and electron-electron correlation effects in hot dense plasmas

Journal Article · Sun Nov 15 00:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.6596· OSTI ID:6946439

Furukawa, H; Nishihara, K ^[1]

---

1. Institute of Laser Engineering, Osaka University, Suita, Osaka, 565 (Japan)

The spherical-cell model (F. Perrot, Phys. Rev. A 25, 489 (1982); M. W. C. Dharma-wardana and F. Perrot, {ital ibid}. 26, 2096 (1982)) is improved to investigate laser-produced hot, dense plasmas. The free-electron distribution function around a test free electron is calculated by using the Fermi integral in order that the free-electron--free-electron correlation function includes Fermi-degeneracy effects, and also that the calculation includes the discrete-ion effect. The free-electron--free-electron, free-electron--ion, and ion-ion correlation effects are coupled, within the framework of the hypernetted-chain approximation, through the Ornstein-Zernike relation. The effective ion-ion potential includes the effect of a spatial distribution of bound electrons. The interparticle correlation functions and the effective potential acting on either an electron or an ion in hot, dense plasmas are calculated numerically. The Fermi-degeneracy effect on the correlation functions between free electrons becomes clear for the degeneracy parameter {theta}{approx lt}1. The discrete-ion effect in the calculation of the correlation functions between free electrons affects the electron-ion pair distribution functions for {ital r}{sub {ital s}}{approx gt}3. As an application of the proposed model, the strong-coupling effect on the stopping power of charged particles (Xin-Zhong Yan, S. Tanaka, S. Mitake, and S. Ichimaru, Phys. Rev. A 32, 1785 (1985)) is estimated. While the free-electron--ion strong-coupling effect and the Fermi-degeneracy effect incorporated in the calculation of the free-electron distribution function around a test free electron enhance the stopping number, the quantum-diffraction effect incorporated in the quantal hypernetted-chain equations (J. Chihara, Prog. Theor. Phys. 72, 940 (1984); Phys. Rev. A 44, 1247 (1991); J. Phys. Condens. Matter 3, 8715 (1991)) reduces the stopping number substantially.

• OSTI ID: 6946439
• Journal Information: Physical Review A. General Physics; (United States), Vol. 46:10; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
HOT PLASMA
PLASMA SIMULATION
LASER-PRODUCED PLASMA
COULOMB FIELD
DISTRIBUTION FUNCTIONS
ELECTRON CORRELATION
IONS
PLASMA DENSITY
STATISTICAL MODELS
CHARGED PARTICLES
CORRELATIONS
ELECTRIC FIELDS
FUNCTIONS
MATHEMATICAL MODELS
PLASMA
SIMULATION
700350* - Plasma Production
Heating
Current Drive
& Interactions- (1992-)