An analytical and computational study of a stochastic adsorption model with variable attachment and detachment rates

We present a stochastic model for adsorption and evaporation of monomers with applications to optical coatings. We consider a general case of attachment and detachment rates dependent on the overall number of particles in the system. The model is applicable to all dimensions and topologies, and can describe a variety of two-state physical systems. We report analytical results for the time-dependent particle density. We compare our analytical results with experimental data and Monte Carlo simulations.