Banerjee, Debarghya and Ray, Samriddhi Sankar (2014) Transition from dissipative to conservative dynamics in equations of hydrodynamics. In: PHYSICAL REVIEW E, 90 (4).
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Abstract
We show, by using direct numerical simulations and theory, how, by increasing the order of dissipativity (alpha) in equations of hydrodynamics, there is a transition from a dissipative to a conservative system. This remarkable result, already conjectured for the asymptotic case alpha -> infinity U. Frisch et al., Phys. Rev. Lett. 101, 144501 (2008)], is now shown to be true for any large, but finite, value of alpha greater than a crossover value alpha(crossover). 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.
Item Type: | Journal Article |
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Publication: | PHYSICAL REVIEW E |
Additional Information: | Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA |
Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
Date Deposited: | 14 Dec 2014 10:50 |
Last Modified: | 14 Dec 2014 10:50 |
URI: | http://eprints.iisc.ac.in/id/eprint/50444 |
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