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  Time-reversal-symmetry Breaking in Turbulence

Jucha, J., Xu, H., Pumir, A., & Bodenschatz, E. (2014). Time-reversal-symmetry Breaking in Turbulence. Physical Review Letters, 113, 054501-1-054501-5. doi:10.1103/PhysRevLett.113.054501.

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 Creators:
Jucha, Jennifer1, Author           
Xu, Haitao1, Author           
Pumir, Alain1, Author                 
Bodenschatz, Eberhard1, Author                 
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1Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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 Abstract: In three-dimensional turbulent flows, the flux of energy from large to small scales breaks time symmetry. We show here that this irreversibility can be quantified by following the relative motion of several Lagrangian tracers. We find by analytical calculation, numerical analysis, and experimental observation that the existence of the energy flux implies that, at short times, two particles separate temporally slower forwards than backwards, and the difference between forward and backward dispersion grows as t3. We also find the geometric deformation of material volumes, defined by four points spanning an initially regular tetrahedron, to show sensitivity to the time reversal with an effect growing linearly in t. We associate this with the structure of the strain rate in the flow.

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Language(s): eng - English
 Dates: 2014-07-29
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 702116
DOI: 10.1103/PhysRevLett.113.054501
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Title: Physical Review Letters
  Alternative Title : Phys. Rev. Lett.
Source Genre: Journal
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Pages: - Volume / Issue: 113 Sequence Number: - Start / End Page: 054501-1 - 054501-5 Identifier: -