Kharbedia Mikheil, López-Menéndez Horacio, García Basilio Javier, Velarde Manuel G, Monroy Francisco
Departamento de Química Física, Universidad Complutense de Madrid, Ciudad Universitaria s/n, Madrid, 28040, Spain.
Translational Biophysics, Instituto de Investigación Sanitaria Hospital Doce de Octubre, Avenida Andalucía s/n, Madrid, 28041, Spain.
Adv Sci (Weinh). 2025 Apr;12(15):e2407528. doi: 10.1002/advs.202407528. Epub 2025 Feb 22.
Evidence of discrete acoustic Rayleigh wave turbulence (DARWT) is reported on the free surface of complex viscoelastic materials under monochromatic excitation. These surface elastic non-linear Rayleigh waves exhibit dispersionless dynamics governed by bulk shear rigidity at coexistence with dispersive capillary waves supported by surface tension. Using Laser Doppler Vibrometry (LDV), the discrete Kolmogorov-Zakharov (KZ) spectrum is measured, characterized by a power-law envelope in an inertial cascade of discrete harmonics. When shear rigidity dominates, KZ-spectrum characterized by an ω acoustic fingerprint is observed as a conservative solid-like scaling, theoretically predicted from the exact three-wave dispersionless resonance. Conversely, when surface tension dominates over bulk stresses, dispersive CW behavior under the usual ω liquid-like scaling is recovered. These findings support a unique theoretical framework for understanding conservative DARWT and advance the field of surface wave turbulence in viscoelastic media with markedly non-Newtonian rheology. Acoustic Rayleigh wave turbulence represents a conservative mechanism for dispersionless energy transport through weakly nonlinear wave interactions across scales, with relevance to various physics fields, from soft matter and biological systems up to geophysical flows.
据报道，在单色激发下，复杂粘弹性材料的自由表面上存在离散声瑞利波湍流（DARWT）的证据。这些表面弹性非线性瑞利波表现出无色散动力学，在与由表面张力支持的色散毛细波共存时，由体剪切刚度控制。使用激光多普勒测速仪（LDV）测量了离散的柯尔莫哥洛夫-扎哈罗夫（KZ）谱，其特征是在离散谐波的惯性级联中具有幂律包络。当剪切刚度占主导时，观察到以ω声指纹为特征的KZ谱，表现为保守的类固体标度，这是从精确的三波无色散共振理论预测的。相反，当表面张力超过体应力时，在通常的ω类液体标度下恢复了色散毛细波行为。这些发现支持了一个独特的理论框架，用于理解保守的DARWT，并推动了具有明显非牛顿流变学的粘弹性介质中表面波湍流领域的发展。声瑞利波湍流代表了一种通过跨尺度的弱非线性波相互作用进行无色散能量传输的保守机制，与从软物质和生物系统到地球物理流动的各种物理领域相关。
