Düring Gustavo, Falcón Claudio
Laboratoire de Physique Statistique, Ecole Normale Supérieure, CNRS, UMR 8550, 24, rue Lhomond, 75005 Paris, France.
Phys Rev Lett. 2009 Oct 23;103(17):174503. doi: 10.1103/PhysRevLett.103.174503. Epub 2009 Oct 22.
We report theoretical and experimental results on 4-wave capillary wave turbulence. A system consisting of two immiscible and incompressible fluids of the same density can be written in a Hamiltonian way for the conjugated pair (eta, Psi). Adding the symmetry z --> -z, the set of capillary waves display a Kolmogorov-Zakharov spectrum k(-4) in wave vector space and f(-8/3) in the frequency domain. The wave system is studied experimentally with two immiscible fluids of almost equal densities (water and silicon oil) where the capillary surface waves are excited by a low-frequency random forcing. The probability density function of the local wave amplitude shows a quasi-Gaussian behavior and the power spectral density is shows a power-law behavior in frequency with a slope of -2.75. Theoretical and experimental results are in fairly good agreement with each other.
我们报告了关于四波毛细波湍流的理论和实验结果。由两种密度相同的不混溶且不可压缩流体组成的系统，可以用哈密顿形式表示共轭对（η，Ψ）。添加对称性z → -z后，毛细波集在波矢空间中呈现出科尔莫戈罗夫 - 扎哈罗夫谱k(-4)，在频域中呈现出f(-8/3)。使用两种密度几乎相等的不混溶流体（水和硅油）对该波系统进行了实验研究，其中通过低频随机强迫激发毛细表面波。局部波幅的概率密度函数呈现出准高斯行为，功率谱密度在频率上呈现出斜率为 -2.75的幂律行为。理论和实验结果彼此相当吻合。
