Transition from Weak Wave Turbulence to Soliton-Gas

We report an experimental investigation of the effect of finite depth on the statistical properties of wave turbulence at the surface of water in the gravity-capillary range. We tune the wave dispersion and the level of nonlinearity by modifying the depth of water and the forcing respectively. We us...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Hassaini, Roumaissa, Mordant, Nicolas
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.09.2017
Subjects
Bifurcations
Capillary waves
Deformation
Energy transfer
Physics - Fluid Dynamics
Turbulence
Water depth
Wave dispersion
Online AccessGet full text

Cover

More Information
Summary:We report an experimental investigation of the effect of finite depth on the statistical properties of wave turbulence at the surface of water in the gravity-capillary range. We tune the wave dispersion and the level of nonlinearity by modifying the depth of water and the forcing respectively. We use space-time resolved profilometry to reconstruct the deformed surface of water. When decreasing the water depth, we observe a drastic transition between weak turbulence at the weakest forcing and a solitonic regime at stronger forcing. We characterize the transition between both states by studying their Fourier Spectra. We also study the efficiency of energy transfer in the weak turbulence regime. We report a loss of efficiency of angular transfer as the dispersion of the wave is reduced until the system bifurcates into the solitonic regime.
ISSN:2331-8422
DOI:10.48550/arxiv.1709.04637