  A landmark of out-of-equilibrium physics is Kolmogorov's phenomenological
theory of turbulence. However, the past 20 years have provided evidence of a
new, universal type of turbulence cascade, which does not abide to Kolmogorov
physics. To address this issue, we revise the classical Kolmogorov cascade, by
superimposing on it a mechanism of active information exchange between large
and small scales. The new theory yields predictions for the dissipation rate,
integral length scale and turbulence kinetic energy, as well as a criterion for
the transition of the system from the new, to the classical physics in decaying
turbulence. The assumptions and predictions are validated using large-scale
simulations and data from the literature.
