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Fingerprint pattern bi-turbulence in a driven dissipative optical system

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Listed:
  • Aguilera-Rojas, P.J.
  • Clerc, M.G.
  • Echeverría-Alar, S.
  • Soupart, Y.
  • Tlidi, M.

Abstract

Turbulence is a complex spatiotemporal behavior and a fundamental concept in fluid dynamics, which has been extended to other systems out of equilibrium, such as nonlinear optics, chemistry, active matter, and economics. Fingerprint patterns with sustained spatiotemporal dynamics in a liquid crystal light valve with an optical feedback experiment are studied. We show that the light intensity field presents a dynamical regime simultaneously exhibiting phase and amplitude turbulence. This bi-turbulent behavior of patterns is characterized by power-law spectra with exponents close to −2 and −3 spatially and −2 temporally, for the phase and amplitude respectively. The pattern orientation field also presents power-law spectra with exponents close to −2 and −3/4, spatially and temporally. We characterize the observed chaotic dynamics by estimating the largest Lyapunov exponent. We provide a theoretical model of pattern formation that explains the experimental observations with good qualitative agreement.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s096007792400403x
    DOI: 10.1016/j.chaos.2024.114851
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    References listed on IDEAS

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    1. Jörn Callies & Raffaele Ferrari & Jody M. Klymak & Jonathan Gula, 2015. "Seasonality in submesoscale turbulence," Nature Communications, Nature, vol. 6(1), pages 1-8, November.
    2. Hideharu Sasaki & Patrice Klein & Bo Qiu & Yoshikazu Sasai, 2014. "Impact of oceanic-scale interactions on the seasonal modulation of ocean dynamics by the atmosphere," Nature Communications, Nature, vol. 5(1), pages 1-8, December.
    3. 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.
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