Energy dissipation in solids under gigahertz (GHz) vibrations is critical to the performance of advanced devices and materials, for example, in nanoresonators used in quantum information systems. Here, we investigate energy loss from forced vibrations due to phonon scattering and thermalization. Our time-resolved models, based on the full phonon scattering matrix, show that intermode temperature differences compete with the effects of underrelaxed nonequilibrium phonons when the period of the forced oscillations is shorter than the phonon scattering rates, leading to the usual unimodal damping behavior as a function of oscillator frequency. In addition, the Akheizer damping mechanism used with the time-dependent phonon dynamics models captures the damping response in closer agreement with fully atomistic models in the ultrasonic to mid-GHz regime than phonon models that rely on the relaxation time approximation. These findings are shown to generalize to multiple single crystals, including silicon, diamond, and nickel.

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• Phonons
• Quantum information processing
• Ultrasound attenuation
• Micromechanical & nanomechanical oscillators
• Single crystal materials
• Boltzmann theory
• Molecular dynamics