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Nonlinear phonon modes in second-order anharmonic coupled monoatomic chains

Abstract : We have used multiple-time-scales perturbation theory as well as the numerical methods of molecular dynamics and spectral energy density (SED) to investigate the phonon band structure of a two-chain model with second-order anharmonic interactions. We show that when one chain is linear and the other is nonlinear, the two-chain model exhibits a nonlinear resonance near a critical wave number due to mode self-interaction. The nonlinear resonance enables wave number-dependent interband energy transfer. We have also shown that there exist nonlinear modes within the spectral gap separating the lower and upper branches of the phonon band structure. These modes result from three phonon interactions between a phonon belonging to the nonlinear branch and two phonons lying on the lower branch. This phenomenon offers a mechanism for phonon splitting.
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https://hal.archives-ouvertes.fr/hal-03305039
Contributor : Jérôme Vasseur Connect in order to contact the contributor
Submitted on : Wednesday, July 28, 2021 - 4:13:02 PM
Last modification on : Tuesday, October 19, 2021 - 6:38:26 PM

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Bertrand Dubus, N. Swinteck, K. Muralidharan, Jérôme Olivier Vasseur, P. Deymier. Nonlinear phonon modes in second-order anharmonic coupled monoatomic chains. Journal of Vibration and Acoustics, American Society of Mechanical Engineers, 2016, 138 (4), ⟨10.1115/1.4033457⟩. ⟨hal-03305039⟩

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