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math-ph2004
Probability densities and preservation of randomness in wave turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko
Turbulence closure for the weakly nonlinear stochastic waves requires, besides weak nonlinearity, randomness in both the phases and the amplitudes of the Fourier modes. This random…
math-ph2004
Anomalous probability of large amplitudes in wave turbulence
Yeontaek Choi, Yuri V. Lvov, Sergey Nazarenko +1
Time evolution equation for the Probability Distribution Function (PDF) is derived for system of weakly interacting waves. It is shown that a steady state for such system may corre…