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Nanoscale Phononic Crystals and Structures

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Acoustic Metamaterials and Phononic Crystals

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 173))

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Abstract

The objective of this chapter is to explore advances in the development of phononic crystals and phononic structures at the nanoscale. The downscaling of phononic structures to nanometric dimensions requires an atomic treatment of the constitutive materials. At the nanoscale, the propagation of phonons may not be completely ballistic (wave-like) and nonlinear phenomena such as phonon–phonon scattering occur. We apply second-order perturbation theory to a one-dimensional anharmonic crystal to shed light on phonon self-interaction and three-phonon scattering processes. We emphasize the competition between dispersion effects induced by the structure, anharmonicity of the atomic bonds, and boundary scattering. These phenomena are illustrated by several examples of atomistic models of nanoscale phononic structures simulated using the method of molecular dynamics (MD). Special attention is also paid to size effects.

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Acknowledgments

This material is partly based upon work supported by the National Science Foundation under Grant No. 1148936 and Grant No. 0924103.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, University of Arizona, Tucson, AZ, 85721, USA

    N. Swinteck, Pierre A. Deymier, K. Muralidharan & R. Erdmann

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  1. N. Swinteck
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  2. Pierre A. Deymier
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  3. K. Muralidharan
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  4. R. Erdmann
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Correspondence to N. Swinteck .

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  1. , Dept. of Materials Science and Engineeri, University of Arizona, East James E. Rogers Way 1235, Tucson, 85721-0012, Arizona, USA

    Pierre A. Deymier

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Swinteck, N., Deymier, P.A., Muralidharan, K., Erdmann, R. (2013). Nanoscale Phononic Crystals and Structures. In: Deymier, P. (eds) Acoustic Metamaterials and Phononic Crystals. Springer Series in Solid-State Sciences, vol 173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31232-8_9

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  • DOI: https://doi.org/10.1007/978-3-642-31232-8_9

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