Adsorption of a binary mixture of monomers with nearest-neighbour cooperative effects

TL;DR

This paper presents an exact model for binary monomer adsorption with cooperative effects on a 1D lattice, revealing how the jamming coverage depends on species attempt frequencies and contrasting with size-based models.

Contribution

It introduces an exact analytical expression for the coverage in a binary monomer adsorption model with cooperative effects, highlighting the influence of attempt frequency ratios.

Findings

Jamming coverage is a monotonic function of the attempt frequency ratio.

Coverage varies between single-species limits.

The structure of the jamming state is characterized.

Abstract

A model for the adsorption of a binary mixture on a one-dimensional infinite lattice with nearest neighbour cooperative effects is considered. The particles of the two species are both monomers but differ in the repulsive interaction experienced by them when trying to adsorb. An exact expression for the coverage of the lattice is derived. In the jamming limit, it is a monotonic function of the ratio between the attempt frequencies of the two species, varying between the values corresponding to each of the two single species. This is in contrast with the results obtained in other models for the adsorption of particles of different sizes. The structure of the jamming state is also investigated.