Structure and Correlations for Harmonically Confined Charges

TL;DR

This paper reviews how Coulomb charges confined by harmonic potentials exhibit complex structures at strong coupling, emphasizing the importance of correlations in shell formation, supported by comparisons with simulations.

Contribution

It provides a simplified density functional theory highlighting correlations' role in shell structures and extends previous simulation comparisons.

Findings

Correlations are essential for shell formation.

Density functional theory captures key structural features.

Comparison with simulations validates theoretical insights.

Abstract

Coulomb charges confined by a harmonic potential display a rich structure at strong coupling, both classical and quantum. A simple density functional theory is reviewed showing the essential role of correlations in forming shell structure and order within the shells. An overview of previous comparisons with molecular dynamics and Monte Carlo simulations is summarized and extended.