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Physical Review Letters 98 (2007) 154501
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Observation of intermittency in wave turbulence
Eric Falcon ( ) 1, 2, Stéphan Fauve 1, Claude Laroche 3
(2007-04-11)

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.
1:  Laboratoire de Physique Statistique de l'ENS (LPS)
CNRS : UMR8550 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot – Ecole normale supérieure de Paris - ENS Paris
2:  Matière et Systèmes Complexes (MSC)
CNRS : UMR7057 – Université Paris VII - Paris Diderot
3:  Laboratoire de Physique de l'ENS Lyon (Phys-ENS)
CNRS : UMR5672 – École Normale Supérieure - Lyon
Physics/Physics/Fluid Dynamics

Nonlinear Sciences/Chaotic Dynamics

Physics/Mechanics/Mechanics of the fluids

Engineering Sciences/Mechanics/Fluids mechanics

Physics/Condensed Matter/Other
intermittency – wave turbulence – surface wave – gravity wave – capillary wave – Kolmogorov – spectrum – experiment – probability density function – fluctuation – Non Gaussian statistics – weak turbulence – structure function – flatness – increment – PDF
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Intermittency5.pdf(182.2 KB)

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