# Trilayer dusty plasma lattice: structure and dynamics

## TL;DR

This paper investigates the structure and dynamics of a trilayer Yukawa crystal, analyzing its stability and collective modes to understand its physical properties.

## Contribution

It introduces a comprehensive analysis of trilayer Yukawa crystals, including lattice structure optimization and collective mode stability assessment.

## Key findings

- Optimal lattice structure identified through interaction energy comparison
- Collective modes calculated and eigenvalues analyzed for stability
- Lattice stability confirmed by positive eigenvalues

## Abstract

In this paper, we studied the structure and dynamics for a trilayer Yukawa crystal. We firstly studied the optimal lattice structure by comparing lattice interaction energy from different lattice distribution, after that, we did the collective mode calculation and analyzed its eigenvectors, if the lattice structure is stable, all the eigenvalues of the dynamical matrix should be positive.