Characterization of domain formation during random sequential adsorption of stiff linear $k$-mers onto a square lattice

TL;DR

This study uses computer simulations to analyze how stiff linear $k$-mers randomly deposit onto a square lattice, forming isotropic monolayers with local anisotropic domains through distinct stages of formation.

Contribution

It introduces a classification based on the 'excluded area' concept to analyze domain formation stages during random sequential adsorption of $k$-mers.

Findings

Identification of three stages of domain formation

Quantitative analysis of lattice site types during deposition

Insights into local anisotropy development in monolayers

Abstract

Using computer simulation, we have studied the random sequential adsorption of stiff linear $k$-mers onto a square lattice. Each such particle occupies $k$ adjacent lattice sites. During deposition, the two mutually perpendicular orientations of the particles are equiprobable, hence, a macroscopically isotropic monolayer is formed. However, this monolayer is locally anisotropic, since the deposited particles tend to form domains of particles with the same orientation. Using the "excluded area" concept, we have classified lattice sites into several types and examined how the fraction of each type of lattice site varies as the number of deposited particles increases. The behaviors of these quantities have allowed us to identify the following stages of domain formation (i) the emergence of domain seeds; (ii) the filling of domains; (iii) densification of the domains.