title: Phonon modes and heat capacity of monolayer films adsorbed in spherical pores.
abstract: We examine the hydrodynamic phonon spectrum of a monolayer film adsorbed on the wall of a spherical pore. Due to the boundary conditions, the monolayer film exhibits a discrete phonon spectrum. The corresponding density of states per unit frequency is thus a set of delta functions, and the heat capacity exhibits Arrhenius behavior at low temperatures. At high temperatures, the heat capacity approaches the C approximately T2 behavior of a two-dimensional monolayer film. Our results for the spherical surface film are compared to previous calculations for films confined to a cylindrical surface.
authors.affiliation: Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: R A
authors.initials: RA
authors.lastname: Trasca
authors.forename: A M
authors.initials: AM
authors.lastname: Vidales
authors.forename: M W
authors.initials: MW
authors.lastname: Cole