Geometrical and transport properties of sequential adsorption clusters

TL;DR

This paper studies how the geometrical and transport properties of percolating clusters formed by cooperative sequential adsorption depend on a parameter q, revealing size effects and implications for particle adsorption processes.

Contribution

It introduces a model of cooperative sequential adsorption with Arrhenius rates and analyzes its impact on cluster backbone and conductance.

Findings

Prefactors depend on q

Finite size effects are significant for small q

Backbone and conductance are affected by q

Abstract

We investigate transport properties of percolating clusters generated by irreversible cooperative sequential adsorption (CSA) on square lattices with Arrhenius rates given by ki= q^(ni), where ni is the number of occupied neighbors of the site i, and q a controlling parameter. Our results show a dependence of the prefactors on q and a strong finite size effect for small values of this parameter, both impacting the size of the backbone and the global conductance of the system. These results might be pertinent to practical applications in processes involving adsorption of particles.