A toy model of wave turbulence

Details A toy model of wave turbulence A toy model of wave turbulence

2011-04-12

arxiv.org/abs/1104.2211v1

Physics

Mathematical Physics

These are slides of the talk performed at the program "The nature of turbulence", Kavli ITP, Santa Barbara, CA, on April 12, 2

Scientific paper

A novel model of wave turbulence is presented which allows to explain in the same frame various nonlinear wave phenomena: intermittency, form and direction of the energy cascades, formation of a zero-frequency band with non-zero energy, etc. as an effect of initial conditions, without any statistical assumptions. Classical Kolmogorov-Zakharov spectra are obtained as a particular case of the more general form of energy spectra. One of the most important phenomenological consequences of the model is the termination of a cascade not due to dissipation but because of the growth of nonlinearity. The model is quite general and can be exploited for the description of an arbitrary wave turbulent system.

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