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Acoustic Rayleigh Wave Turbulence in Soft Viscoelastic Matter
Mikheil Kharbedia1,2, Horacio López-Menéndez1,2, Basilio Javier García3
1Departamento de Química Física, Universidad Complutense de Madrid, Ciudad Universitaria s/n, Madrid, 28040, Spain.
Advanced Science (Weinheim, Baden-Wurttemberg, Germany)
|February 22, 2025
Summary
Discrete acoustic Rayleigh wave turbulence (DARWT) was observed in viscoelastic materials, showing distinct scaling behaviors based on shear rigidity or surface tension dominance. This research advances understanding of energy transport in complex media.
Area of Science:
- Physics
- Materials Science
- Fluid Dynamics
Background:
- Surface waves on complex viscoelastic materials exhibit unique behaviors.
- Non-linear wave interactions are crucial for energy transport across scales.
Purpose of the Study:
- To report evidence of discrete acoustic Rayleigh wave turbulence (DARWT) on viscoelastic material surfaces.
- To investigate the spectral characteristics and scaling laws of DARWT under different material property regimes.
Main Methods:
- Monochromatic excitation of complex viscoelastic materials.
- Laser Doppler Vibrometry (LDV) for surface displacement measurement.
- Analysis of the discrete Kolmogorov-Zakharov (KZ) spectrum.
Main Results:
- Observed DARWT with a power-law envelope in a discrete harmonic cascade.
- Identified an ω-5/2 acoustic fingerprint (solid-like scaling) when shear rigidity dominates.
- Recovered an ω-17/6 liquid-like scaling when surface tension dominates.
Conclusions:
- DARWT provides a conservative mechanism for dispersionless energy transport.
- Findings support a theoretical framework for non-Newtonian viscoelastic media.
- Acoustic Rayleigh wave turbulence has broad relevance in soft matter, biological systems, and geophysical flows.
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