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Power Fluctuations and Irreversibility in Turbulence

2013/10/18 by Haitao Xu, Alain Pumir, Xu, Haitao +13
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1310.5006

Updated figures 1d & 4a with better converged data

arxiv created 2014/07/09 · arxiv updated 2014/07/10

Abstract

The breaking of detailed balance, the symmetry between forward and backward probability transition between two states, is crucial to understand irreversible systems. In hydrodynamic turbulence, a far-from equilibrium system, we observe a strong manifestation of the breaking of detailed balance by following the evolution of the kinetic energy of individual fluid elements. We found in all the flows that we have investigated that fluid elements decelerate faster than they accelerate, giving rise to negative third moment of energy increments, independently of space dimensionality. The exchange of energy between fluid elements however is fundamentally different in two and three dimensions. While pressure forces do not provide net energy change to slow or fast particles in two dimensions, they tend to transfer energy from \it slow to \it fast particles in three dimensions, possibly implying a runaway of energy.

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