Abstract
We present a versatile cooperative three-state model with adsorption and evaporation defined on different topologies: two- and three-dimensional lattices and Cayley trees. We discuss this model in the context of two main applications: silica and titania self-assembled optical coatings on glass substrates and drug encapsulation of two different types of nanoparticles on tree-like synthetic polymers called dendrimers and described mathematically as Cayley trees. We present analytical and Monte Carlo simulation results for these different topologies and discuss other possible extensions of the model to social sciences.
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