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

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

2002-11-08

arxiv.org/abs/cond-mat/0211172v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevE.67.031602

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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