Phonon modes and heat capacity of monolayer films adsorbed in spherical pores.
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.
Trasca
R A
RA
Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
Vidales
A M
AM
Cole
M W
MW