Phonons in an Inhomogeneous Continuum: Vibrations of an Embedded Nanoparticle

2003/10/31 by Daniel B. Murray, Lucien Saviot
Physics and Astronomy · #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.69.094305

published as Phys. Rev. B 69, 094305 (2004) · RevTeX4, 10 pages, 6 figures

arxiv created 2004/03/27 · arxiv updated 2009/12/01

Abstract

The spectrum of acoustic vibrational modes of an inhomogeneous elastic continuum are analyzed with application to a spherical nanoparticle embedded in an infinite glass block. The relationship of these modes to the discrete vibrational spectrum of a free sphere is studied. The vibrational modes of a sphere with a fixed surface are relevant in some situations. Comparisons are also made to calculations of mode frequency and damping based on complex valued frequency.

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