Computational study of a class of cooperative sequential adsorption models on Cayley trees and two- dimensional lattices

We present a Monte Carlo simulation study of a class of cooperative sequential adsorption models with constant and variable attachment rates and their possible applications for ionic self-assembly of thin films, drug encapsulation of nanoparticles and susceptible-infected-recovered epidemic models. We do a comparison study of these models on a Cayley tree and a two - dimensional lattice and discuss the cases for which four-branch Cayley trees are good approximations for two -dimensional lattices.