Symmetry Induced 4-Wave Capillary Wave Turbulence

Details Symmetry Induced 4-Wave Capillary Wave Turbulence Symmetry Induced 4-Wave Capillary Wave Turbulence

2009-01-22

arxiv.org/abs/0901.3507v1

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 2 figures

Scientific paper

We report theoretical and experimental results on 4-wave capillary wave turbulence. A system consisting of two inmiscible and incompressible fluids of the same density can be written in a Hamiltonian way for the conjugated pair $(\eta,\Psi)$. When given the symmetry $z\to-z$, the set of weakly non-linear interacting waves display a Kolmogorov-Zakharov (KZ) spectrum $n_k\sim k^{-4}$ in wave vector space. The wave system was studied experimentally with two inmiscible fluids of almost equal densities (water and silicon oil) where the capillary surface waves are excited by a low frequency random forcing. The power spectral density (PSD) and probability density function (PDF) of the local wave amplitude are studied. Both theoretical and experimental results are in fairly good agreement with each other.

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