Fluctuations of energy flux in wave turbulence

E. Falcon¹, S. Aumaître², C. Falcón³, C. Laroche^1,3 and S. Fauve³

¹MSC, Université Paris Diderot - Paris 7, CNRS, 75 013 Paris, France
²SPEC, DSM, CEA-Saclay, CNRS, 91 191 Gif-sur-Yvette, France
³LPS, ENS Paris, CNRS, 24 rue Lhomond, 75 005 Paris, France

Reference:

Physical Review Letters 100, 064503 (2008)

URL: http://link.aps.org/abstract/PRL/v100/e064503

DOI: 10.1103/PhysRevLett.100.064503

Abstract:

We report that the power driving gravity and capillary wave turbulence in a statistically stationary regime displays fluctuations much stronger than its mean value. We show that its probability density function (PDF) has a most probable value close to zero and involves two asymmetric roughly exponential tails. We understand the qualitative features of the PDF using a simple Langevin type model.

Keywords : wave turbulence - surface wave – gravity waves - capillary waves – Kolmogorov spectrum – experiment - injected power - energy flux

PDF file

also on preprint server: hal-00204008 or arXiv:0801.08060v1