Mode-coupling theory of the dense one-component plasma

Abstract

Density and current fluctuation spectra of the one-component plasma with plasma parameter $\Gamma =140\mathrm{}$ are calculated self-consistently within a mode-coupling approximation for longitudinal and transverse memory kernels. The theory uses as input the static two- and three-particle-correlation functions. The resulting spectra are in satisfactory agreement with molecular-dynamics calculations for all wave numbers. In particular, the peak structure of density-fluctuation and shear-mode spectra in the intermediate-wave-number regime as well as their interrelationships are discussed in terms of the mode-decay processes.