Wave turbulence on the surface of

a ferrofluid in a magnetic field

F. Boyer1 and E. Falcon1
1 MSC, University Paris Diderot - Paris VII, CNRS - UMR 7057, 75 013 Paris, France


Physical Review Letters 101, 244502 (2008)

URL: http://link.aps.org/doi/10.1103/PhysRevLett.101.244502
DOI: 10.1103/PhysRevLett.101.244502


We report the observation of wave turbulence on the surface of a ferrofluid mechanically forced and submitted to a static normal magnetic field. We show that magnetic surface waves arise only above a critical field. The power spectrum of their amplitudes displays a frequency-power law leading to the observation of a magnetic wave turbulence regime which is experimentally shown to involve a 4-wave interaction process. The existence of the regimes of gravity, magnetic and capillary wave turbulence is reported in the phase space parameters as well as a triple point of coexistence of these three regimes. Most of these features are understood using dimensional analysis or the dispersion relation of the ferrohydrodynamics surface waves.

Keywords :
wave turbulence – surface waves – magnetic waves – gravity waves – capillary waves – triple point – magnetic fluids – ferrofluids – magnetohydrodynamic waves – experiment – fluctuations – distribution – probability density function – PDF – weak turbulence – power spectrum – N-wave interaction process

 PDF file      See also Press items from Physics, JCE Planet...      also on preprint server:  hal-00338272  or   arXiv:0811.1943

See also: Wave turbulence on the surface of a ferrofluid in a horizontal magnetic field (S. Dorbolo & E. Falcon Phys. Rev. E 83, 046303 (2011))

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