URL: http://www.worldscientific.com/worldscibooks/10.1142/8269
Abstract:
The key governing parameter of wave turbulence is the energy
flux that drives the waves and cascades to small scales through
nonlinear interactions. In the inertial range, the energy flux
is conserved across the scales, and is assumed to be constant in
most theoretical approaches. It is only recently that
measurements of the injected power into wave turbulence have
been performed at the scale of the wave maker (integral scale).
In this review, we focus on the statistical properties of the
injected power fluctuations in gravity-capillary wave turbulence
in a stationary regime. Fluctuations of the injected power have
been found much larger than their mean value. In addition,
events related to a negative injected power, i.e. an
instantaneous reversed energy flux, occur with a fairly large
probability. Both features are well described using a Langevin
type equation. Finally, we consider the experimental dependence
of the scaling law of the wave spectrum with the mean injected
power and discuss possible reasons for the discrepancy with weak
turbulence theory..
