# How roughness affects the depletion mechanism

## TL;DR

This paper presents a simple, parameter-efficient model based on Asakura-Oosawa theory to describe how surface roughness influences depletion interactions, aligning well with numerical simulations and aiding in predicting colloidal aggregation.

## Contribution

The paper introduces an explicit, free-parameter model for depletion potential affected by surface roughness, extending the classical theory to more realistic colloidal surfaces.

## Key findings

- Model agrees with recent numerical simulations
- Predicts the onset of colloidal aggregation
- Allows investigation of roughness geometry effects

## Abstract

We develop a simple model, in the spirit of the Asakura-Oosawa theory, able to describe the effects of surface roughness on the depletion potential as a function of a small set of parameters. The resulting explicit expressions are easily computed, without free parameters, for a wide range of physically interesting conditions. Comparison with the recent numerical simulations [M. Kamp et al., Langmuir, 2016, 32, 1233] shows an encouraging agreement and allows to predict the onset of colloidal aggregation in dilute suspensions of rough particles. Furthermore, the model proves to be suitable to investigate the role of the geometry of the roughness.