Adsorption-Desorption Kinetics: A Review of a Classical Problem

TL;DR

This review analyzes adsorption-desorption kinetics within the lattice gas model, highlighting the importance of proper transition coefficients and proposing an energetically consistent approach to avoid anomalous behaviors in observable predictions.

Contribution

It demonstrates that detailed balance alone does not ensure correct kinetics and introduces a new energetic framework for more accurate modeling.

Findings

Transition coefficients must be carefully chosen to avoid anomalous behavior.

Certain interaction parameters lead to unphysical kinetics despite detailed balance.

A new energetic approach yields consistent observable predictions.

Abstract

In this work we have analyzed the adsorption-desorption kinetics in the framework of the lattice gas model. We have shown that the coefficients representing the transition probabilities must be carefully chosen even when they fulfill the principle of detailed balance, otherwise the observables arising from the kinetics present anomalous behavior. We have demonstrated that when the adsorption $A_i$ and desorption $D_i$ coefficients are linearly related through a parameter $\gamma$, there are values of lateral interaction, $V$, that lead to bad behavior in the kinetics. We have shown a phase diagram for the allowed values of $V$ and $\gamma$, concluding that detailed balance does not guarantee a correct physical behavior of the observables obtained from the rate equations like adsorption isotherms, sticking coefficients and thermal desorption spectra. Alternatively, we have introduced a description of the adsorption-desorption processes based in a simple but consistent energetic argument that leads to a correct behavior of the observables without physical inconsistencies.