Is Turbulence a State of Maximal DissipationReport as inadecuate

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1 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes SPEC - UMR3680 - Service de physique de l-état condensé, IRAMIS - Institut Rayonnement Matière de Saclay 2 LSCE - Laboratoire des Sciences du Climat et de l-Environnement Gif-sur-Yvette

Abstract : It has sometimes been suggested that turbulence is a state of -maximal dissipation- or -maximal transport-. In this paper, we connect this principle to the Maximum Entropy Production principle MEP and observe that it seems to be valid in a turbulent bifurcation in a von Karman flow. The goal of this paper is to show that MEP principle could find a justification in a chained-relationship which involves studying the connections among MEP, Kolmogorov Sinai Entropy and mixing times. We stress that this principle might actually be limited to quite special situations, where symmetry or dynamics impose pure mixing of a quantity like angular momentum, momentum or temperature. Shear flow, Rayleigh Benard convection and von Karman flows belong to this category.

Keywords : Maximum Entropy Production Turbulence Kolmogorov-Sinai entropy

Author: Martin Mihelich - Davide Faranda - Didier Paillard - Bérengère Dubrulle -



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