Universal Power Spectra for Wave Turbulence: Applications to Wind Waves, Flicker Noise, Solar Wind Spectrum, and Classical Second Sound.
Abstract
Stationary solutions to the kinetic equation describing wavewave interactions are obtained by means of dimensional estimates and in exact form from the collision operator. The solutions are interpreted as the turbulent spectrum in the inertial range and are shown to be local. At lowest nonlinear order one obtains the results of weak turbulence theory. As the low frequency power input is increased, the power spectrum of wave motion converges to a universal 1/f noise for nondispersive waves in more than two dimensions, and to 1/omega^5 noise for deep gravity waves. It is also shown that a wave turbulent system is elastic and it can support a propagating energy mode with similarities to second sound. The conditions from parabolic to hyperbolic energy transport are discussed. A parallel connection to He^4 for drift wave turbulence in plasmas is made and order of magnitude estimates for the plasma diffusivity are obtained. It is also suggested that a wave turbulence picture can be used to understand the magnetic field fluctuations in the solar wind.
 Publication:

Ph.D. Thesis
 Pub Date:
 1987
 Bibcode:
 1987PhDT........35L
 Keywords:

 Physics: Fluid and Plasma;
 Flicker;
 Gravity Waves;
 Noise Spectra;
 Power Spectra;
 Solar Wind;
 Turbulence;
 Wave Interaction;
 Wind (Meteorology);
 Helium Isotopes;
 Plasmas (Physics);
 Solar Magnetic Field;
 Transport Theory;
 Wave Equations;
 Wave Propagation;
 Communications and Radar