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PACS: 05.60.Cd, 47.35.-i, 89.75.Da A novel model of wave turbulence

Summary: PACS: 05.60.Cd, 47.35.-i, 89.75.Da
A novel model of wave turbulence
Elena Kartashova
Institute for Analysis, J. Kepler University, Linz, Austria
A novel model (D-model) of wave turbulence is presented which allows to reproduce in a single
frame various nonlinear wave phenomena such as intermittency, formation and direction of energy
cascades, possible growth of nonlinearity due to direct energy cascades, etc. depending on the initial
state. No statistical assumptions are used, all effects are due to the behavior of distinct modes.
Classical energy spectra E -
, > 0, are obtained as a particular case of a more general form
of energy spectra. This generic model can be applied to the experimental and theoretical study of
numerous wave turbulent systems appearing in hydrodynamics, nonlinear optics, electrodynamics,
convection theory, etc.
1. Introduction.
Classical theory of wave turbulence (WT) , [1], is based
on statistical description of wave systems which yields
stationary energy spectra, e.g. E -
, > 0 for
with > 0 where k is the wavelength and > 0


Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara


Collections: Physics