Electrostatic self-assembly of neutral particles on a dielectric substrate: A theoretical study via a multiple-image method and an effective-dipole approach

TL;DR

This theoretical study introduces a multiple-image method and an effective-dipole approach to analyze electrostatic interactions of neutral dielectric particles on a charged substrate, revealing how dielectric contrasts influence particle assembly.

Contribution

The paper develops a novel theoretical framework combining multiple-image and effective-dipole methods to accurately model electrostatic self-assembly of neutral particles on dielectric surfaces.

Findings

Dielectric contrast causes polarization reversal in particles.

Transition from attraction to repulsion depends on dielectric differences.

Particles tend to form stable hexagonal structures on the substrate.

Abstract

A multiple-image method is developed to accurately calculate the electrostatic interaction between neutral dielectric particles and a uniformly charged dielectric substrate. The difference in dielectric constants between the particle and the solvent medium leads to a reversal of positive and negative polarizations in the particle. The variance in dielectric constants between the solvent medium and the substrate causes a transition from attractive to repulsive forces between the particle and the substrate. A nonuniform electrostatic field is generated by the polarized charges on the substrate due to mutual induction. These characteristics of electrostatic manipulation determine whether particles are adsorbed onto the substrate or pushed away from it. The self-assembled particles tend to aggregate in a stable hexagonal structure on the substrate. These findings provide new insights into self-assembly processes involving neutral particles on a dielectric substrate.