The expected duration of random sequential adsorption

TL;DR

This paper derives a universal asymptotic formula for the expected duration of random sequential adsorption processes on finite graphs, where particles irreversibly occupy sites and inhibit further adsorption.

Contribution

It introduces a universal asymptotic formula for the mean duration of random sequential adsorption on finite graphs, accounting for multiple particle types and inhibition effects.

Findings

Derived a universal asymptotic formula for mean duration

Applicable to various types of particles and graphs

Provides insights into the kinetics of surface adsorption processes

Abstract

When gas molecules bind to a surface they may do so in such a way that the adsorption of one molecule inhibits the arrival of others. We consider random sequential adsorption in which the empty sites of a graph are irreversibly occupied in random order by a variety of types of ``particles.'' In a finite region the process terminates when no more particles can arrive. A universal asymptotic formula for the mean duration is given.