Electrostatic interactions in the presence of surface charge regulation: exact results

TL;DR

This paper provides exact solutions for electrostatic interactions involving surface charge regulation in one-dimensional models, revealing how charge and dipole correlations depend on separation and electrolyte concentration.

Contribution

It introduces a family of exactly solvable one-dimensional models to analyze charge regulation effects on electrostatic interactions, including both plates and dielectric particles.

Findings

Disjoining pressure and charge correlations are explicitly calculated.

Charge regulation significantly influences electrostatic interactions.

Results depend on separation distance and electrolyte concentration.

Abstract

We study the problem of charge regulation and its effects on electrostatic interactions between dissociable charge groups immersed in a univalent electrolyte, within a family of one dimensional exactly solvable models. We consider the case of both charge regulated plates, but also the interaction of pairs of finite size dielectric "particles". Using the transfer matrix formalism we are able to determine the disjoining pressure as well as the correlations between the charge and the dipole moments of the objects as a function of their separation and electrolyte concentration