Kinetics of Particles Adsorption Processes Driven by Diffusion

TL;DR

This paper analytically investigates the kinetics of colloidal particle adsorption onto surfaces, incorporating diffusion and geometrical factors, resulting in a generalized Langmuir equation aligned with recent simulation data.

Contribution

It introduces the first kinetic equation for surface coverage that accounts for diffusion and geometry, advancing understanding of adsorption processes.

Findings

Derived a generalized Langmuir equation for adsorption kinetics.

Predictions align with recent simulation results.

Highlights the importance of diffusion in adsorption dynamics.

Abstract

The kinetics of the deposition of colloidal particles onto a solid surface is analytically studied. We take into account both the diffusion of particles from the bulk as well as the geometrical aspects of the layer of adsorbed particles. We derive the first kinetic equation for the coverage of the surface (a generalized Langmuir equation) whose predictions are in agreement with recent simulation results where diffusion of particles from the bulk is explicitly considered.