Irreversible Deposition of Line Segment Mixtures on a Square Lattice: Monte Carlo Study

TL;DR

This study uses Monte Carlo simulations to analyze the irreversible deposition of mixtures of line segments on a square lattice, revealing how mixture composition affects jamming limits and proposing a kinetic equation for coverage.

Contribution

It introduces a detailed Monte Carlo analysis of mixed segment deposition and proposes a new kinetic equation for jamming coverage based on empirical data.

Findings

Jamming limits decrease with increasing probability of long segments.

Mixtures have higher jamming limits than pure segment types.

Jamming limits peak at certain long segment lengths for fixed mixture probabilities.

Abstract

We have studied kinetics of random sequential adsorption of mixtures on a square lattice using Monte Carlo method. Mixtures of linear short segments and long segments were deposited with the probability $p$ and $1-p$, respectively. For fixed lengths of each segment in the mixture, the jamming limits decrease when $p$ increases. The jamming limits of mixtures always are greater than those of the pure short- or long-segment deposition. For fixed $p$ and fixed length of the short segments, the jamming limits have a maximum when the length of the long segment increases. We conjectured a kinetic equation for the jamming coverage based on the data fitting.