Kinetic models of Quantum Size Effect-directed nanocluster self-assembly in atomic corrals

Two simple kinetic models of quantum size effect-directed nanocluster self-assembly in circular atomic corrals are discussed. The models correspond to an adsorption (either a physisorption or a chemisorption) and an adsorption-diffusion regimes that are typical at low and high temperatures, respectively. Small magnitudes of a variation of the electronic local density of states is shown to be the prime factor that impedes self-assembly in the latter regime.