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Non-intermittent turbulence: Lagrangian chaos and irreversibility

Samriddhi Sankar Ray*

  • International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore 560089, India

  • *samriddhisankarray@gmail.com
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Phys. Rev. Fluids 3, 072601(R) – Published 10 July, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.072601

Abstract

Turbulent flows are special examples of extended dynamical systems distinguished by their intermittent, chaotic, and irreversible behavior. However, the exact nature of the effect of intermittency on the chaotic nature of turbulence, and vice versa, is still not known. By using a recent discovery [U. Frisch, A. Pomyalov, I. Procaccia, and S. S. Ray, Phys. Rev. Lett. 108, 074501 (2012)] of Fourier decimation, we manipulate the nonlinearity to try and isolate the origins of intermittency, chaos, and irreversibility in homogeneous, isotropic turbulence. In particular, we show that within the Lagrangian framework it is possible to have nonintermittent, yet chaotic, turbulent flows, with an emergent time reversibility as the effective degrees of freedom are reduced through decimation. These results suggest a new microscopic way, starting from the equations of motion, of understanding turbulence beyond what is possible through phenomenological models.

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Phys. Rev. Fluids 3, 072601(R)– Published 10 July, 2018
  • Received 17 June 2017
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