Phonon scattering in one-dimensional anharmonic crystals and superlattices

Analytical and numerical study

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Second-order perturbation theory based on multiple time scale analysis is used to illuminate three-phonon scattering processes in the one-dimensional anharmonic monoatomic crystal. Molecular dynamics simulation techniques in conjunction with spectral energy density analyses are used to quantify phonon mode lifetime in (1) the monoatomic crystal and (2) a series of superlattice configurations. It is found that the lifetime of vibrational modes in the monoatomic crystal is inherently long, because the conditions for conservation of wave vector and frequency are pathologically difficult to satisfy. Superlattice configurations, however, offer band-folding effects, whereby the availability of phonon decay channels decreases the lifetime of the vibrational modes supported by the medium.

Original languageEnglish (US)
Article number041016
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume135
Issue number4
DOIs
StatePublished - 2013

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Phonon scattering
Superlattices
superlattices
life (durability)
Crystals
vibration mode
scattering
crystals
configurations
folding
availability
Molecular dynamics
conservation
Conservation
flux density
perturbation theory
Availability
molecular dynamics
Computer simulation
decay

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanical Engineering
  • Mechanics of Materials

Cite this

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abstract = "Second-order perturbation theory based on multiple time scale analysis is used to illuminate three-phonon scattering processes in the one-dimensional anharmonic monoatomic crystal. Molecular dynamics simulation techniques in conjunction with spectral energy density analyses are used to quantify phonon mode lifetime in (1) the monoatomic crystal and (2) a series of superlattice configurations. It is found that the lifetime of vibrational modes in the monoatomic crystal is inherently long, because the conditions for conservation of wave vector and frequency are pathologically difficult to satisfy. Superlattice configurations, however, offer band-folding effects, whereby the availability of phonon decay channels decreases the lifetime of the vibrational modes supported by the medium.",
author = "Swinteck, {Nichlas Z.} and Krishna Muralidharan and Deymier, {Pierre A}",
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AB - Second-order perturbation theory based on multiple time scale analysis is used to illuminate three-phonon scattering processes in the one-dimensional anharmonic monoatomic crystal. Molecular dynamics simulation techniques in conjunction with spectral energy density analyses are used to quantify phonon mode lifetime in (1) the monoatomic crystal and (2) a series of superlattice configurations. It is found that the lifetime of vibrational modes in the monoatomic crystal is inherently long, because the conditions for conservation of wave vector and frequency are pathologically difficult to satisfy. Superlattice configurations, however, offer band-folding effects, whereby the availability of phonon decay channels decreases the lifetime of the vibrational modes supported by the medium.

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