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Time-reversible Dynamical Systems for Turbulence

L. Biferale·D. Pierotti·A. Vulpiani
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Abstract

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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L. Biferale, D. Pierotti, A. Vulpiani. 1997-10-29. Time-reversible Dynamical Systems for Turbulence. https://doi.org/10.1088/0305-4470%2F31%2F1%2F008

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