# General theory of charge regulation within the Poisson-Boltzmann framework: study of a sticky-charged wall model

## TL;DR

This paper presents a new sticky-charge wall model for charge regulation within the Poisson-Boltzmann framework, allowing analysis of electrolyte structural effects on charge regulation through modified boundary conditions.

## Contribution

It introduces a simple, intuitive model that modifies boundary conditions in the PB equation to study charge regulation effects.

## Key findings

- Model effectively captures charge regulation behavior.
- Structural details of electrolytes influence charge regulation.
- Modified boundary conditions provide new insights into electrolyte interactions.

## Abstract

This work introduces a sticky-charge wall model as a simple and intuitive representation of charge regulation. Implemented within the mean-field level of description, the model modifies the boundary conditions without affecting the underlying Poisson-Boltzmann (PB) equation of an electrolyte. Employing various modified PB equations, we are able to assess how various structural details of an electrolyte influence charge regulation.