Abstract
The dynamics of a confined discrete monolayer adsorbed on a corrugated substrate with steps is analyzed through a minimum set of parameters required to characterize the confinement with respect to the infinite system. Using typical values for the force constants which link the layer sides to the substrate, we give analytical conditions for the occurrence of specific modes having a strong amplitude close to the sides of the system. We thus distinguish side modes which have a quasi-acoustical behavior and obey the same features as Rayleigh waves for surfaces from localized modes with a quasi-optical behavior which lie above the bulk bands of the layer. It is concluded that these localized modes should be observed in inelastic helium scattering experiments.
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