TIME-REVERSIBLE DYNAMICAL-SYSTEMS FOR TURBULENCE

Dynamical ensemble equivalence between hydrodynamic dissipative equati ons and suitable time-reversible dynamical systems has been investigat ed in a class of dynamical systems for turbulence. The reversible dyna mics is obtained from the original dissipative equations by imposing a global constraint. We find that, by increasing the input energy, the system changes from an equilibrium state to a non-equilibrium stationa ry state in which an energy cascade, with the same statistical propert ies of the original system, is clearly detected.