Falcon E, Fauve S, Laroche C
Laboratoire de Physique Statistique, Ecole Normale Supérieure, CNRS, Paris, France.
Phys Rev Lett. 2007 Apr 13;98(15):154501. doi: 10.1103/PhysRevLett.98.154501. Epub 2007 Apr 11.
We report the observation of intermittency in gravity-capillary wave turbulence on the surface of mercury. We measure the temporal fluctuations of surface wave amplitude at a given location. We show that the shape of the probability density function of the local slope increments of the surface waves strongly changes across the time scales. The related structure functions and the flatness are found to be power laws of the time scale on more than one decade. The exponents of these power laws increase nonlinearly with the order of the structure function. All these observations show the intermittent nature of the increments of the local slope in wave turbulence. We discuss the possible origin of this intermittency.
我们报告了在汞表面重力 - 毛细波湍流中对间歇性的观测。我们测量了给定位置处表面波振幅的时间波动。我们表明，表面波局部斜率增量的概率密度函数的形状在不同时间尺度上有很大变化。相关的结构函数和平坦度在超过一个数量级的时间尺度上被发现是时间尺度的幂律。这些幂律的指数随着结构函数的阶数非线性增加。所有这些观测结果都表明了波湍流中局部斜率增量的间歇性本质。我们讨论了这种间歇性可能的起源。
