Onset of negative dispersion in one-component-plasma revisited

TL;DR

This paper presents a straightforward method to accurately predict the onset of negative dispersion in the plasmon mode of the classical one-component plasma, applicable to both 2D and 3D systems, aligning well with existing simulations.

Contribution

It introduces a simple, effective approach to describe the long-wavelength dispersion of the OCP, focusing on the negative dispersion onset, improving upon previous models.

Findings

Predicted negative dispersion onset matches numerical simulations.

Method applicable to both 2D and 3D OCP systems.

Provides a simpler alternative to complex theoretical models.

Abstract

A simple approach to describe the long-wavelength dispersion of the longitudinal (plasmon) mode of the classical one-component-plasma (OCP), with the main objective to correctly capture the onset of negative dispersion, is proposed. The approach is applicable to both three-dimensional and two-dimensional OCP. The predicted onset of negative dispersion compares well with the available results from numerical simulations and more sophisticated theoretical models.