Weak decaying collective-excitation approximation for Yukawa one-component plasmas

TL;DR

This paper develops a theoretical model for weak decaying collective excitations in strongly coupled Yukawa plasmas, accurately matching simulation data across various spatial scales without fitting parameters.

Contribution

It introduces a self-consistent relaxation theory model that describes collective dynamics in Yukawa plasmas over a wide range of scales, bridging hydrodynamics and interparticle distances.

Findings

Model reproduces dynamic structure factor spectra accurately.

Establishes connection with damped harmonic oscillator at small wave numbers.

Provides an analytical expression for sound attenuation coefficient.

Abstract

In this paper, the theoretical model of weak decaying collective excitations characteristic of many-particle systems with long-range interaction potentials is developed using the example of one-component strongly coupled Yukawa plasmas. The proposed model is based on the self-consistent relaxation theory of collective dynamics and covers spatial scales from extended hydrodynamics to scales related to the mean interparticle distance. The theoretical model reproduces the dynamic structure factor spectra and the corresponding dispersion characteristics in agreement with molecular dynamics simulation data without using any fitting parameters. In the limit of small wave numbers, the correspondence of the proposed theoretical model with the damped harmonic oscillator model is established. The simple analytical expression for the sound attenuation coefficient of strongly coupled Yukawa plasmas is obtained.