Simulation study of random sequential adsorption of mixtures on a triangular lattice

TL;DR

This study uses Monte Carlo simulations to analyze how the symmetry of objects affects the kinetics and coverage in the random sequential adsorption of mixtures on a triangular lattice, revealing exponential approach to jamming and coverage variations.

Contribution

It introduces a numerical analysis of the influence of shape symmetry on adsorption kinetics and coverage in binary mixtures on a lattice, highlighting the role of object symmetry in jamming behavior.

Findings

Approach to jamming is exponential with a parameter linked to symmetry.

Jamming coverage can be higher or intermediate depending on object geometry.

Coverage varies with fractional concentration of mixture components.

Abstract

Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the lattice. We concentrate here on the influence of the symmetry properties of the shapes on the kinetics of the deposition processes in two-component mixtures. Approach to the jamming limit in the case of mixtures is found to be exponential, of the form: $\theta(t) \sim \theta_{jam}-\Delta\theta \exp (-t/\sigma),$ and the values of the parameter $\sigma$ are determined by the order of symmetry of the less symmetric object in the mixture. Depending on the local geometry of the objects making the mixture, jamming coverage of a mixture can be either greater than both single-component jamming coverages or it can be in between these values. Results of the simulations for various fractional concentrations of the objects in the mixture are also presented.