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Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence

Author

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  • Juan Ignacio Polanco

    (Observatoire de la Côte d’Azur, CNRS, Laboratoire J. L. Lagrange
    Univ Claude Bernard Lyon 1, LMFA, UMR5509)

  • Nicolás P. Müller

    (Observatoire de la Côte d’Azur, CNRS, Laboratoire J. L. Lagrange)

  • Giorgio Krstulovic

    (Observatoire de la Côte d’Azur, CNRS, Laboratoire J. L. Lagrange)

Abstract

The understanding of turbulent flows is one of the biggest current challenges in physics, as no first-principles theory exists to explain their observed spatio-temporal intermittency. Turbulent flows may be regarded as an intricate collection of mutually-interacting vortices. This picture becomes accurate in quantum turbulence, which is built on tangles of discrete vortex filaments. Here, we study the statistics of velocity circulation in quantum and classical turbulence. We show that, in quantum flows, Kolmogorov turbulence emerges from the correlation of vortex orientations, while deviations—associated with intermittency—originate from their non-trivial spatial arrangement. We then link the spatial distribution of vortices in quantum turbulence to the coarse-grained energy dissipation in classical turbulence, enabling the application of existent models of classical turbulence intermittency to the quantum case. Our results provide a connection between the intermittency of quantum and classical turbulence and initiate a promising path to a better understanding of the latter.

Suggested Citation

  • Juan Ignacio Polanco & Nicolás P. Müller & Giorgio Krstulovic, 2021. "Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-27382-6
    DOI: 10.1038/s41467-021-27382-6
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    References listed on IDEAS

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    1. Gregory P. Bewley & Daniel P. Lathrop & Katepalli R. Sreenivasan, 2006. "Visualization of quantized vortices," Nature, Nature, vol. 441(7093), pages 588-588, June.
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