Second-harmonic generation as a minimal model of turbulence.

  title={Second-harmonic generation as a minimal model of turbulence.},
  author={Natalia Vladimirova and Michal Shavit and Sergey Belan and Gregory Falkovich},
  journal={Physical review. E},
  volume={104 1-1},
When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction. Considering a noise-driven system, we show that when one mode is pumped and another dissipates, the statistics of such cascades is never close to Gaussian, no matter what is the relation between interaction and noise. One finds substantial phase correlation in the limit of strong interaction or weak noise… Expand

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