### Symmetry Induced Four-Wave Capillary Wave Turbulence

### Abstract

We report theoretical and experimental results on 4-wave capillary wave turbulence. A system consisting of two immiscible and incompressible fluids of the same density can be written in a Hamiltonian way for the conjugated pair (?, ?). Adding the symmetry z?-z, the set of capillary waves display a Kolmogorov-Zakharov spectrum k-4 in wave vector space and f-8/3 in the frequency domain. The wave system is studied experimentally with two immiscible fluids of almost equal densities (water and silicon oil) where the capillary surface waves are excited by a low-frequency random forcing. The probability density function of the local wave amplitude shows a quasi-Gaussian behavior and the power spectral density is shows a power-law behavior in frequency with a slope of -2.75. Theoretical and experimental results are in fairly good agreement with each other. © 2009 The American Physical Society.

### Más información

Título según WOS: | Symmetry Induced Four-Wave Capillary Wave Turbulence |

Título según SCOPUS: | Symmetry induced four-Wave capillary wave turbulence |

Título de la Revista: | PHYSICAL REVIEW LETTERS |

Volumen: | 103 |

Número: | 17 |

Editorial: | AMER PHYSICAL SOC |

Fecha de publicación: | 2009 |

Idioma: | English |

URL: | http://link.aps.org/doi/10.1103/PhysRevLett.103.174503 |

DOI: |
10.1103/PhysRevLett.103.174503 |

Notas: | ISI, SCOPUS |