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The interface vibrational contribution to the thermodynamic functions of the system of liquid and solid separated by a planar interface


We study theoretically the interface vibrational contribution to thermodynamic properties of a system of solid and liquid in contact across a planar interface. We express thermodynamic quantities such as the free energy and specific heat in terms of the interface density of vibrational states. We derive a simple analytic expression for this function in terms of the static Green's tensor of the system. In order to calculate the free energy, we modify the Debye model to apply it to the interface problem. We also obtain the dynamical Green's tensor for the system of liquid and solid separated by a planar interface. © 1997 Elsevier Science Ltd.

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