Nonlinear-response-function approach to binary ionic mixtures: Dynamical theory
The authors generalize the Golden-Kalman one-component-plasma (OCP) nonlinear-response-function approach to the formulation of a dynamical theory for binary-ionic-mixture plasmas. The principal result of the new dynamical theory is a self-consistent approximation scheme for the calculation of linear ionic polarizabilities and collective-mode structure at long wavelengths and arbitrary coupling strengths. The approximation scheme is constructed from the dynamical nonlinear fluctuation-dissipation theorem and the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) kinetic equation prepared in the velocity-average approximation (VAA). Equilibrium three-point correlations, quadratic response functions, and the dynamical superposition approximation are all central elements of the theory. The theory is exact at zero frequency and exactly reproduces the coefficients of the high-frequency-moment-sum-rule expansion through order 1/..omega../sup 4/. Collective-mode calculations based on the new approximation scheme indicate that the (positive) shift in the plasma frequency is temperature dependent at weak coupling and temperature independent at very strong coupling. These calculations, moreover, reproduce the qualitative features of the Hansen-McDonald-Vieillefosse molecular-dynamics data for the dispersion of the optical mode in the strong-coupling regime, while at the same time very nearly reproducing the weak-coupling frequency shift predicted by Baus's microscopic theory. The authors conclude that the temperature-dependent broadening and shifting of the plasma made at weak coupling is controlled primarily by ionic interdiffusion transport.
- Research Organization:
- School of Physics, The University of New South Wales, Kensington, New South Wales 2033, Australia
- OSTI ID:
- 5424484
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 32:3; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
BBGKY EQUATION
BINARY MIXTURES
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
DIFFUSION
DISPERSIONS
EQUATIONS
FUNCTIONS
IONS
MIXTURES
NONLINEAR PROBLEMS
PLASMA
RESPONSE FUNCTIONS
TRANSPORT THEORY