Time-reversible Dynamical Systems for Turbulence

Details Time-reversible Dynamical Systems for Turbulence Time-reversible Dynamical Systems for Turbulence

1997-10-29

arxiv.org/abs/chao-dyn/9710024v1

Nonlinear Sciences

Chaotic Dynamics

16 pages Latex, 4 PS figures, on press on J. Phys

Scientific paper

10.1088/0305-4470/31/1/008

Dynamical Ensemble Equivalence between hydrodynamic dissipative equations and suitable time-reversible dynamical systems has been investigated in a class of dynamical systems for turbulence. The reversible dynamics 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 stationary state in which an energy cascade, with the same statistical properties of the original system, is clearly detected.

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