Collective modes and correlations in one-component plasmas

TL;DR

This paper investigates static and dynamic correlations in one-component plasmas with boundaries, focusing on spheroidal and spherical geometries, and utilizes collective mode analysis to compute time-dependent correlations.

Contribution

It provides detailed calculations of potential and surface charge correlations in bounded plasmas, incorporating collective mode analysis for the first time in this context.

Findings

Computed static and time-dependent correlations for spheroidal and spherical plasmas.

Linked collective electrostatic modes to dynamic correlation functions.

Results align with experimental data for spherical plasmas.

Abstract

The static and time-dependent potential and surface charge correlations in a plasma with a boundary are computed for different shapes of the boundary. The case of a spheroidal or spherical one-component plasma is studied in detail because experimental results are available for such systems. Also, since there is some knowlegde both experimental and theoretical about the electrostatic collective modes of these plasmas, the time-dependent correlations are computed using a method involving these modes.