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Experimental analysis of intermittency in electrohydrodynamic instability.

Francesco Carbone1, Luca Sorriso-Valvo

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Turbulent electroconvective fluctuations in liquid crystals exhibit intermittency, with probability density functions (PDFs) showing enhanced wings at smaller scales. These fluctuations arise from a fragmentation process, retaining anisotropic properties.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Fluid Dynamics

Background:

  • Nematic liquid crystals exhibit complex behaviors under external electric fields.
  • Electroconvection in liquid crystals can lead to turbulent states.
  • Understanding intermittency and scaling in turbulent systems is crucial.

Purpose of the Study:

  • Investigate turbulent electroconvective fluctuations in nematic liquid crystals.
  • Analyze spectral properties and scaling behavior of light intensity fluctuations.
  • Quantify intermittency and understand the generation of small-scale fluctuations.

Main Methods:

  • Applied oscillating electric fields to nematic liquid crystals.
  • Measured light intensity fluctuations at various voltages.
  • Analyzed probability density functions (PDFs) and structure functions.
  • Modeled PDFs using the Castaing distribution and Extended Self-Similarity.

Main Results:

  • Observed Gaussian PDFs at large scales, transitioning to enhanced wings at smaller scales (intermittency).
  • Identified dynamical scattering regimes with increasing complexity at higher voltages.
  • Quantified intermittency and supported a fragmentation process for small-scale fluctuations.
  • Confirmed persistent anisotropic properties of the generated fluctuations.

Conclusions:

  • Turbulent electroconvection in liquid crystals displays intermittent characteristics similar to isotropic fluids.
  • Small-scale fluctuations are generated via fragmentation of larger structures.
  • The study highlights the anisotropic nature of these turbulent fluctuations.