Jamming and percolation in the random sequential adsorption of a binary mixture on the square lattice

TL;DR

This paper investigates how the size and flux of particles in a binary mixture affect jamming coverage and percolation on a square lattice, revealing that mixtures lower the percolation threshold compared to monomers alone.

Contribution

It introduces a model for binary mixture adsorption on a lattice, analyzing the effects of particle size and flux on percolation and jamming, which was not previously explored.

Findings

Percolation of monomers occurs at lower thresholds in mixtures than with monomers alone.

Higher flux or larger particle size decreases the monomer percolation threshold.

The onset of percolation depends on size ratio R and flux F in the binary mixture.

Abstract

We study the competitive irreversible adsorption of a binary mixture of monomers and square-shaped particles of linear size $R$ on the square lattice. With the random sequential adsorption model, we investigate how the jamming coverage and percolation properties depend on the size ratio $R$ and relative flux $F$. We find that the onset of percolation of monomers is always lower for the binary mixture than in the case with only monomers ($R=1$). Moreover, for values $F$ below a critical value, the higher is the flux or size of the largest species, the lower is the value of the percolation threshold for monomers.