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

TRASCA, M.A.; VIDALES, A M; COLE, M.W.

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 2003 vol. 67 p. 1 - 4

1539-3755

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 δ functions, and the heat capacity exhibits Arrhenius behavior at low temperatures. At high temperatures, the heat capacity approaches the C∼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.