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We examine the hydrodynamic phonon spectrum of a monolayer film adsorbed onthe wall of a spherical pore. Due to the boundary conditions, the monolayerfilm exhibits a discrete phonon spectrum. The corresponding density of statesper unit frequency is thus a set of delta functions and the heat capacityexhibits Arrhenius behavior at low temperatures. At high temperatures, the heatcapacity approaches the C ~ T^2 behavior of a two-dimensional monolayer film.Our results for the spherical surface film are compared to previouscalculations for films confined to a cylindrical surface

Phonon modes and heat capacity of monolayer films adsorbed in spherical pores