Random sequential adsorption of shrinking or spreading particles

TL;DR

This paper introduces a one-dimensional irreversible adsorption model where particles change size immediately after adsorption, providing exact solutions for fill factor and variance, and comparing them with approximate methods.

Contribution

It presents a novel model of adsorption with immediate particle size change and derives exact analytical solutions for key properties.

Findings

Exact solutions for fill factor and variance are obtained.

Size change significantly affects the adsorption characteristics.

Approximate solutions are validated against exact results.

Abstract

We present a model of one-dimensional irreversible adsorption in which particles once adsorbed immediately shrink to a smaller size or expand to a larger size. Exact solutions for the fill factor and the particle number variance as a function of the size change are obtained. Results are compared with approximate analytical solutions.