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Related Experiment Videos

Pattern dynamics associated with on-off convection in a one-dimensional system.

Hidenori Ohara1, Hirokazu Fujisaka, Katsuya Ouchi

  • 1Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan. ohara@acs.i.kyoto-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
Summary

This study analyzes a nonlinear stochastic model for on-off intermittency in liquid crystals. Multiplicative noise drives intermittent pattern evolution, while additive noise shifts patterns, matching experimental observations.

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Area of Science:

  • Nonlinear dynamics
  • Soft matter physics
  • Statistical physics

Background:

  • On-off intermittency is observed in electrohydrodynamic convection of nematic liquid crystals.
  • A nonlinear stochastic model based on the Swift-Hohenberg equation was developed.

Purpose of the Study:

  • To numerically and theoretically analyze a stochastic model of on-off intermittency.
  • To investigate the effects of multiplicative and additive noise on pattern dynamics.

Main Methods:

  • Numerical and theoretical analysis.
  • One-dimensional Swift-Hohenberg equation with fluctuating threshold.
  • Stochastic analysis and numerical simulations.

Main Results:

  • Model without additive noise matches experimental and 2D system observations.

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  • Multiplicative noise induces intermittent pattern intensity evolution, consistent with on-off intermittency.
  • Additive noise causes shifts in convective pattern position.

    • Conclusions:

    • The model accurately captures on-off intermittency in liquid crystals.
    • Noise type critically influences pattern dynamics and intermittency.
    • Intermittent evolution of the global pattern phase is confirmed and analyzed.