Bond Orientational Order Parameters in the Crystalline Phases of the Classical Yukawa-Wigner Bilayers

TL;DR

This study investigates the structural phases of a bilayer of particles with Yukawa interactions, identifying phase transitions and analyzing crystalline order using Monte Carlo simulations and bond orientational order parameters.

Contribution

It introduces a detailed analysis of crystalline phases and phase transitions in Yukawa-Wigner bilayers using Monte Carlo methods and bond orientational order parameters.

Findings

Identified two first order phase transitions and one second order transition.

Characterized crystalline phases using bond orientational order parameters.

Analyzed center-to-center correlations in the bilayer system.

Abstract

We present a study of the structural properties of the crystalline phases for a planar bilayer of particles interacting via repulsive Yukawa potentials in the weak screening region. The study is done with Monte Carlo computations and the long ranged contributions to energy are taken into account with the Ewald method for quasi-two dimensional systems. Two first order phase transitions (fluid-solid and solid-solid) and one second order transition (solid-solid) are found when the surface density is varied at constant temperature. A particular attention is pay to the characteristics of the crystalline phases by the analysis of bond orientational order parameters and center-to-center correlations functions.