Abstract
We show, by using direct numerical simulations and theory, how, by increasing the order of dissipativity in equations of hydrodynamics, there is a transition from a dissipative to a conservative system. This remarkable result, already conjectured for the asymptotic case [U. Frisch et al., Phys. Rev. Lett. 101, 144501 (2008)], is now shown to be true for any large, but finite, value of greater than a crossover value . We thus provide a self-consistent picture of how dissipative systems, under certain conditions, start behaving like conservative systems and hence elucidate the subtle connection between equilibrium statistical mechanics and out-of-equilibrium turbulent flows.
- Received 25 March 2014
DOI:https://doi.org/10.1103/PhysRevE.90.041001
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