Time-reversible Dynamical Systems for Turbulence
chao-dyn
2009-10-30 v1 Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.chao-dyn/9710024,
title = {Time-reversible Dynamical Systems for Turbulence},
author = {L. Biferale and D. Pierotti and A. Vulpiani},
journal= {arXiv preprint arXiv:chao-dyn/9710024},
year = {2009}
}
Comments
16 pages Latex, 4 PS figures, on press on J. Phys