Dynamical mean-field theory for Coulomb systems: A novel approach.

Abstract

We develop a novel approach to dynamical particle correlations in a classical one-component plasma system. A self-consistent integral equation is obtained for the dynamical local field to be determined. We show that this dynamical local field possesses the following properties: (i) it simultaneously satisfies the conservation and compressibility sum rules; (ii) it has the requisite constant values depending on frequency for large wave numbers; and (iii) it develops an algebraic tail in the high-frequency limit for small wave numbers.