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Phys. Rev. Lett. 98, 154501 (2007) [4 pages]

Observation of Intermittency in Wave Turbulence

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E. Falcon1,*, S. Fauve1, and C. Laroche2
1Laboratoire de Physique Statistique, École Normale Supérieure, CNRS, 24, rue Lhomond, 75 005 Paris, France
2Laboratoire de Physique, École Normale Supérieure de Lyon, CNRS, 46, allée d’Italie, 69 007 Lyon, France

Received 27 December 2006; published 11 April 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.154501
DOI:
10.1103/PhysRevLett.98.154501
PACS:
47.35.−i, 05.45.−a, 47.52.+j

*Corresponding author.

Permanent address: Matière et Systèmes Complexes, Université Paris 7, CNRS UMR 7057, France.

Email address: eric.falcon@univ-paris-diderot.fr