Acoustic excitations and elastic heterogeneities in disordered solids

Understanding how sound propagates in disordered materials remains an open challenge. Perfect crystals allow for phonon-based descriptions of acoustic behavior. However, real materials often contain structural imperfections. These imperfections lead to mechanical heterogeneities at the nanoscale. Prior research has shown that such heterogeneities influence wave propagation. No prior work had resolved how these effects scale with disorder. This gap motivated the current investigation. The study aims to clarify the link between disorder and sound wave behavior.

This study investigates the relationship between sound waves and elastic heterogeneities in disordered solids. The goal is to unify the understanding of mechanical response and acoustic behavior. The researchers focus on how disorder affects wave propagation. They aim to bridge the gap between perfect crystals and fully amorphous systems. The approach involves modeling materials with varying levels of disorder. The study uses a continuous transition from ordered to disordered states. This method allows for a systematic analysis of mechanical heterogeneities. The findings may help explain acoustic behavior in complex materials.

The researchers used a computational model to simulate different material phases. They created a system that transitions from a perfect crystal to a fully amorphous state. The model allows for the interpolation of structural disorder. They analyzed the mechanical response at the nanoscale. The team measured elastic properties across different disorder levels. They tracked how sound waves propagate in each phase. The study combines structural and acoustic data. The approach enables a direct comparison of wave behavior and disorder.

The study found a strong correlation between elastic heterogeneities and sound wave features. As disorder increases, the mechanical response becomes more inhomogeneous. The researchers observed changes in wave propagation patterns. These changes suggest a breakdown of phonon-based descriptions. The data show that sound waves are affected by local elastic variations. The findings support the idea that disorder alters acoustic behavior. The results highlight the importance of considering heterogeneities. The study provides evidence for a unified framework of wave mechanics.

The authors propose that elastic heterogeneities directly influence sound wave behavior. Their findings support a unified view of mechanical and acoustic properties. The study suggests that disorder disrupts phonon-based descriptions. The results align with previous observations of inhomogeneous responses. The researchers emphasize the need for models that include disorder effects. The study contributes to understanding wave propagation in complex materials. The conclusions are based on the observed correlation between disorder and wave features. The authors suggest that this framework may apply to a wide range of disordered systems.