Intermittency as a consequence of turbulent transport in nonlinear systems

The turbulent flows that transfer energy from a stirring range at large scales to the dissipation range at small scales were investigated. It was shown that a single cascade of weakly interacting waves that transport particles from a source to a link leads to a steady loss of energy in the system. It was observed that coherent structures are necessary for any solution that has statistically stationary transport properties. The results show that coherent structures are an essential component of the transport of particles from large scales to small dissipation scales and that the particle flow leads to a steady loss of coupling energy, so the fluctuations have a low ratio of energy per particle.