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Article Dans Une Revue Physical Review E Année : 2022

Lévy walk of quasiballistic phonons in nanowires

Résumé

© 2022 American Physical Society.Phonon transport in square-cross-section nanowires is studied using spectral Monte Carlo simulations. Our results show the evolution of the different transport regimes described by Lévy statistics as a function of the surface roughness-to-thermal wavelength ratio σ/λ. More precisely, the relationship between the Lévy index γ describing the mean free path distribution ψ(Λ) and σ/λ is established for the classical diffusive regime, the superdiffusive regime, and the ballistic regime in the nanowire. Besides the conventional superdiffusive regime that is marked by ψ(Λ) with a single heavy-tailed peak, we reveal an unconventional superdiffusive subregime featuring ψ(Λ) with sawtooth oscillations when σ/λ∼0.01. Investigation of the direction of propagation of phonons shows a significant narrowing of the angular distribution around the long axis of the nanowire due to the diffuse scattering at rough boundaries when σ/λ>0.1. These results shed light on the transport mechanisms of quasiballistic phonons and will help in nanowire design for specific applications.
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Dates et versions

hal-04227246 , version 1 (15-01-2024)

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Jay Amrit, Aymeric Ramiere, Linxi Weng, Jie Xie, Jincui Li. Lévy walk of quasiballistic phonons in nanowires. Physical Review E , 2022, ⟨10.1103/PhysRevE.105.064123⟩. ⟨hal-04227246⟩
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