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Article Dans Une Revue Physical Review Letters Année : 2019

Fluctuating Elasticity Fails to Capture Anomalous Sound Scattering in Amorphous Solids

Résumé

The fluctuating elasticity (FE) model, introduced phenomenologically and developed by Schirmacher [J. Non-Cryst. Solids 357, 518 (2011)], is today the only theoretical framework available to analyze low-temperature elastic acoustic scattering in glasses. Its existing formulations, which neglect the tensorial nature of elasticity and exclude long-range disorder correlations, predict that the acoustic damping coefficients obey the standard Rayleigh scaling law: Γ ∼ k dþ1 , with k the acoustic wave vector, in dimension d. However, recent numerical data, supported by the analysis of existing experimental results, show that Γ does not obey this scaling law but Γ ∼ −k dþ1 ln k. Here we analyze in detail how a fully tensorial FE model can be constructed as a long wavelength approximation of the elastic response of the discrete, atomistic, problem. We show that, although it incorporates all long-range correlations, it fails to capture the observed damping in two respects: (i) it misses the anomalous scaling, and predicts the standard Rayleigh law; (ii) it grossly underestimates the amplitude of scattering by about 2 orders of magnitude. This brings clear evidence that the small scale nonaffine displacement fields, although not simply reducible to local defects, play a crucial role in acoustic wave scattering and hence cannot be ignored.
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Dates et versions

hal-03942523 , version 1 (17-01-2023)

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Christiane Caroli, Anaël Lemaître. Fluctuating Elasticity Fails to Capture Anomalous Sound Scattering in Amorphous Solids. Physical Review Letters, 2019, 123 (5), pp.0555011-0555015. ⟨10.1103/physrevlett.123.055501⟩. ⟨hal-03942523⟩
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