Theory of sound attenuation in amorphous solids from nonaffine motions

@article{Baggioli2022TheoryOS,
  title={Theory of sound attenuation in amorphous solids from nonaffine motions},
  author={Matteo Baggioli and Alessio Zaccone},
  journal={Journal of Physics: Condensed Matter},
  year={2022},
  volume={34}
}
We present a theoretical derivation of acoustic phonon damping in amorphous solids based on the nonaffine response formalism for the viscoelasticity of amorphous solids. The analytical theory takes into account the nonaffine displacements in transverse waves and is able to predict both the ubiquitous low-energy diffusive damping ∼k 2, as well as a novel contribution to the Rayleigh damping ∼k 4 at higher wavevectors and the crossover between the two regimes observed experimentally. The… 

References

SHOWING 1-10 OF 77 REFERENCES
Effects of coordination and pressure on sound attenuation, boson peak and elasticity in amorphous solids.
TLDR
An effective medium theory of elasticity is presented that unifies sound attenuation, transport and length scales entering elasticity in a single framework where disorder is not the main parameter controlling the boson peak, in agreement with observations.
Fluctuating Elasticity Fails to Capture Anomalous Sound Scattering in Amorphous Solids.
TLDR
This work analyzes 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 and 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.
Key role of retardation and non-locality in sound propagation in amorphous solids as evidenced by a projection formalism.
TLDR
It is shown that small scale disorder effects can be rigorously reduced to the existence, in the Navier-like wave equation of the continuum, of a generalized elasticity tensor, which is not only retarded, since scatterers are dynamical, but also non-local.
Unified theory of vibrational spectra in hard amorphous materials
The phonon spectra of solids, described through the measurable vibrational density of states (VDOS), provide a wealth of information about the underlying atomic structure and bonding, and they
Parameter-free predictions of the viscoelastic response of glassy polymers from non-affine lattice dynamics.
TLDR
The theoretical results provide evidence that the mechanical glass transition itself is continuous and thus represents a crossover rather than a true phase transition, and makes parameter-free predictions of the dynamic viscoelastic moduli obtained in coarse-grained simulations of polymer glasses at non-zero temperatures.
Sound attenuation in low temperature amorphous solids is primarily determined by non-affine displacements
Sound attenuation in low temperature amorphous solids originates from their disordered structure. However, its detailed mechanism is still being debated. Here we analyze sound attenuation starting
Atomic theory of viscoelastic response and memory effects in metallic glasses
An atomic-scale theory of the viscoelastic response of metallic glasses is derived from first principles, using a Zwanzig-Caldeira-Leggett system-bath Hamiltonian as a starting point within the
Atomic-scale origin of dynamic viscoelastic response and creep in disordered solids.
TLDR
It is shown that the viscoelastic responses of all three model disordered solids collapse onto a master curve upon normalizing by the overall strength of inversion-symmetry breaking in each system.
Universal Origin of Boson Peak Vibrational Anomalies in Ordered Crystals and in Amorphous Materials.
TLDR
The theory explains the recent experimental observations of boson peak in perfectly ordered crystals, which cannot be explained based on previous theoretical frameworks, and also explains, for the first time, how the vibrational spectrum changes with the atomic density of the solid, and explains recent experimental observed of this effect.
Approximate analytical description of the nonaffine response of amorphous solids
An approximation scheme for model disordered solids is proposed that leads to the fully analytical evaluation of the elastic constants under explicit account of the inhomogeneity (nonaffinity) of the
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