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Phonon Modes and Heat Capacity of Monolayer Films Adsorbed in Spherical Pores

R. A. Trasca·A. M. Vidales·M. W. Cole
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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 ~ T^2 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.

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R. A. Trasca, A. M. Vidales, M. W. Cole. 2002-11-08. Phonon Modes and Heat Capacity of Monolayer Films Adsorbed in Spherical Pores. https://doi.org/10.1103/physreve.67.031602

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