# Wave turbulence on the surface of

# a ferrofluid in a magnetic field

**F. Boyer**^{1} and E. Falcon^{1}

^{1} MSC, University
Paris Diderot - Paris VII, CNRS - UMR 7057, 75 013 Paris, France

### Reference:

**Abstract:**

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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