Random Sequential Adsorption of Mixtures of Dimers and Monomers on a Pre-Treated Bethe Lattice

TL;DR

This paper investigates the process of random sequential adsorption of monomers and dimers on a pre-patterned Bethe lattice, providing analytical solutions relevant for surface engineering and self-assembly.

Contribution

It introduces analytical solutions for competitive adsorption of monomers and dimers on a pre-patterned Bethe lattice, advancing understanding of surface patterning effects.

Findings

Analytical expressions for adsorption coverage were derived.

Pre-patterning influences the adsorption dynamics significantly.

Results aid in designing better self-assembly processes.

Abstract

We report studies of random sequential adsorption on the pre-patterned Bethe lattice. We consider a partially covered Bethe lattice, on which monomers and dimers deposit competitively. Analytical solutions are obtained and discussed in the context of recent efforts to use pre-patterning as a tool to improve self-assembly in micro- and nano-scale surface structure engineering.