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From coherent shocklets to giant collective incoherent shock waves in nonlocal turbulent flows

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  • G. Xu

    (Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 6303 CNRS—Université Bourgogne Franche-Comté)

  • D. Vocke

    (School of Engineering and Physical Sciences, SUPA, Heriot-Watt University)

  • D. Faccio

    (School of Engineering and Physical Sciences, SUPA, Heriot-Watt University)

  • J. Garnier

    (Laboratoire de Probabilités et Modèles Aléatoires, University Paris Diderot
    Ecole Normale Supérieure, CNRS)

  • T. Roger

    (School of Engineering and Physical Sciences, SUPA, Heriot-Watt University)

  • S. Trillo

    (University of Ferrara)

  • A. Picozzi

    (Laboratoire Interdisciplinaire Carnot de Bourgogne (ICB), UMR 6303 CNRS—Université Bourgogne Franche-Comté)

Abstract

Understanding turbulent flows arising from random dispersive waves that interact strongly through nonlinearities is a challenging issue in physics. Here we report the observation of a characteristic transition: strengthening the nonlocal character of the nonlinear response drives the system from a fully turbulent regime, featuring a sea of coherent small-scale dispersive shock waves (shocklets) towards the unexpected emergence of a giant collective incoherent shock wave. The front of such global incoherent shock carries most of the stochastic fluctuations and is responsible for a peculiar folding of the local spectrum. Nonlinear optics experiments performed in a solution of graphene nano-flakes clearly highlight this remarkable transition. Our observations shed new light on the role of long-range interactions in strongly nonlinear wave systems operating far from thermodynamic equilibrium, which reveals analogies with, for example, gravitational systems, and establishes a new scenario that can be common to many turbulent flows in photonic quantum fluids, hydrodynamics and Bose–Einstein condensates.

Suggested Citation

  • G. Xu & D. Vocke & D. Faccio & J. Garnier & T. Roger & S. Trillo & A. Picozzi, 2015. "From coherent shocklets to giant collective incoherent shock waves in nonlocal turbulent flows," Nature Communications, Nature, vol. 6(1), pages 1-10, November.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms9131
    DOI: 10.1038/ncomms9131
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    Cited by:

    1. Abdelkrim Bendahmane & Gang Xu & Matteo Conforti & Alexandre Kudlinski & Arnaud Mussot & Stefano Trillo, 2022. "The piston Riemann problem in a photon superfluid," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    2. Aguilera-Rojas, P.J. & Clerc, M.G. & Echeverría-Alar, S. & Soupart, Y. & Tlidi, M., 2024. "Fingerprint pattern bi-turbulence in a driven dissipative optical system," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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