Collective ion dynamics in Coulomb one-component plasmas within the self-consistent relaxation theory

TL;DR

This paper develops a theoretical framework for understanding collective ion behavior in Coulomb one-component plasmas, aligning well with simulation data and requiring minimal input parameters.

Contribution

It introduces a self-consistent relaxation theory that incorporates multi-particle correlations for Coulomb plasmas, improving predictive accuracy.

Findings

The theory accurately reproduces dynamic structure factors.

Results agree with molecular dynamics simulations.

The formalism captures key plasma features.

Abstract

In this paper, we present the theoretical formalism describing the collective ion dynamics of the nonideal Coulomb classical one-component plasmas on the basis of the self-consistent relaxation theory. The theory is adapted to account for correlations between the frequency relaxation parameters that characterize the three- and four-particle dynamics and the parameters associated with the two-particle dynamics. The dynamic structure factor spectra and dispersion characteristics calculated for a wide range of wave numbers are in agreement with the molecular dynamics simulation data and the results obtained with the theory of the frequency moments. The proposed formalism reproduces all the features inherent to the Coulomb one-component plasmas and requires only knowledge of the coupling parameter and the information about the structure.