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Structured metamaterials are at the core of extensive research, promising for thermal and acoustic engineering. However, the computational cost required for correctly simulating large systems imposes to use continuous modeling, able to grasp the physics at play without entering in the atomistic details. Crucially, a correct description needs to describe both the extrinsic interface-induced and the intrinsic atomic scale-originated phonon scattering. This latter becomes considerably important when the metamaterial is made out of a glass, which is intrinsically highly dissipative and with a wave attenuation strongly dependent on frequency and 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. Here we propose a continuum mechanical model for a viscoelastic medium, able to bridge atomic and macroscopic scales in amorphous materials and reproduce well the phonon attenuation from GHz to THz with a ${omega}^2-{omega}^4-{omega}^2$ dependency, including the influence of temperature.
The sound attenuation in the THz region is studied down to T=16 K in glassy glycerol by inelastic x-ray scattering. At striking variance with the decrease found below 100 K in the GHz data, the attenuation in the THz range does not show any T depende
The temperature dependence of the thermal conductivity of amorphous solids is markedly different from that of their crystalline counterparts, but exhibits universal behaviour. Sound attenuation is believed to be related to this universal behaviour. R
Experimental results on the density of states and on the acoustic modes of glasses in the THz region are compared to the predictions of two categories of models. A recent one, solely based on an elastic instability, does not account for most observat
A theory for the vibrational dynamics in disordered solids [W. Schirmacher, Europhys. Lett. {bf 73}, 892 (2006)], based on the random spatial variation of the shear modulus, has been applied to determine the wavevector ($k$) dependence of the Brillou
The attenuation of long-wavelength phonons (waves) by glassy disorder plays a central role in various glass anomalies, yet it is neither fully characterized, nor fully understood. Of particular importance is the scaling of the attenuation rate $Gamma