# Reply to "Comment on 'Thomson rings in a disk' "

## TL;DR

This paper defends a model for analyzing equilibrium configurations of charged particles in a disk, highlighting its efficiency and accuracy, and refutes criticisms claiming it fails to predict hexagonal structures for large particle numbers.

## Contribution

The authors demonstrate that their model effectively traces equilibrium configurations with reduced computational effort and aligns well with molecular dynamics results, countering previous criticisms.

## Key findings

- Model accurately predicts equilibrium configurations
- Reduces computational effort significantly
- Aligns with molecular dynamics results

## Abstract

We demonstrate that our model [Phys.Rev. E91, 032312 (2015)] serves as a useful tool to trace the evolution of equilibrium configurations of one-component charged particles confined in a disk. Our approach reduces significantly the computational effort in minimizing the energy of equilibrium configurations and demonstrates a remarkable agreement with the values provided by molecular dynamics calculations. We show that the Comment misrepresents our paper, and fails to provide plausible arguments against the formation hexagonal structure for n>200 in molecular dynamics calculations.