Debye model for the surface phonons

A quantum description of the surface waves in an isotropic elastic body without the use of the semiclassical quantization is proposed. The problem about the surface waves is formulated in the Lagrangian and Hamiltonian representations. Within the framework of the generalized Debye model, the contrib...

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Bibliographic Details
Published in:Low temperature physics (Woodbury, N.Y.) N.Y.), 2021-05, Vol.47 (5), p.412-419
Main Author: Poluektov, Yu. M.
Format: Article
Language:English
Subjects:
Elastic bodies
Enthalpy
Phonons
Porous media
Surface waves
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Summary:A quantum description of the surface waves in an isotropic elastic body without the use of the semiclassical quantization is proposed. The problem about the surface waves is formulated in the Lagrangian and Hamiltonian representations. Within the framework of the generalized Debye model, the contribution of the surface phonons (“rayleighons”) to thermodynamic functions is calculated. It is emphasized that the role of the surface phonons can be significant and even decisive in low-dimensional systems, granular and porous media, and that their contribution to the total heat capacity increases with decreasing temperature.
ISSN:1063-777X
1090-6517
DOI:10.1063/10.0004236