A continuum model reproducing the multiple frequency crossovers in acoustic attenuation in glasses
arXiv:2105.02864 · doi:10.1016/j.jnoncrysol.2022.121472
Abstract
Structured metamaterials are at the core of extensive research, promising for acoustic and thermal engineering. Nevertheless, the computational cost required for correctly simulating large systems imposes to use a continuous model to describe the effective behavior without knowing the atomistic details. Crucially, a correct description needs to describe both the extrinsic interface-induced and the intrinsic atomic scale-originated phonon scattering, especially when the component material is made of glass, a highly dissipative material in which wave attenuation is strongly dependent on frequency as well as on temperature. In amorphous systems, the effective acoustic attenuation triggered by multiple mechanisms is now well characterized and exhibits a nontrivial frequency dependence with a double crossover of power laws. In this work, we propose a continuum viscoelastic model based on the hierarchical strategy multi-scale approach, able to reproduce well the phonon attenuation in a large frequency range, spanning three orders of magnitude from GHz to THz with a dependence, including the influence of temperature.
arXiv comment26 pages, 3 figures
References in corpus (24)
- Local elasticity map and plasticity in a model Lennard-Jones glass
- Continuum limit of amorphous elastic bodies: A finite-size study of low frequency harmonic vibrations
- Inhomogeneous elastic response of silica glass
- Glass-specific behavior in the damping of acoustic-like vibrations
- Vibrational instability, two-level systems and Boson peak in glasses
- Anomalous properties of the acoustic excitations in glasses on the mesoscopic length-scale
- Thermal conductance at the interface between crystals using equilibrium and non-equilibrium molecular dynamics
- The Boson Peak and its Relation with Acoustic Attenuation in Glasses
- Boson peak and Ioffe-Regel criterion in amorphous silicon-like materials: the effect of bond directionality
- Observation of the onset of strong scattering on high frequency acoustic phonons in densified silica glass
- Acoustic excitations and elastic heterogeneities in disordered solids
- Hypersound damping in vitreous silica measured by picosecond acoustics
- Sound attenuation in stable glasses
- Nonlinear quasilocalized excitations in glasses. I. True representatives of soft spots
- Propagative and diffusive regimes of acoustic damping in bulk amorphous material
- Theory of harmonic dissipation in disordered solids
- Theory for the density of interacting quasi-localised modes in amorphous solids
- Is the Structural Relaxation of Glasses Controlled by Equilibrium Shear Viscosity?
- Sound damping in glasses: interplay between anharmonicities and elastic heterogeneities
- Dynamic sound attenuation at hypersonic frequencies in silica glass
- Anderson transition for elastic waves in three dimensions
- A new way to evaluate x-ray Brillouin scattering data
- High frequency acoustic modes in vitreous Beryllium Fluoride probed by inelastic X-ray scattering
- Ioffe-Regel criterion and viscoelastic properties of amorphous solids