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Vorticity, defects and correlations in active turbulence.

Sumesh P Thampi1, Ramin Golestanian1, Julia M Yeomans2

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Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 22, 2014
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Summary

This study numerically investigates active turbulence in nematics, finding defect density controls vorticity and order parameter correlations. Microscopic flow generation dictates patterns and scales, differing between extensile and contractile systems.

Keywords:
active turbulencecorrelationsdefectsvorticity

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Area of Science:

  • Soft Matter Physics
  • Fluid Dynamics
  • Non-equilibrium Systems

Background:

  • Active nematics exhibit complex behaviors like active turbulence.
  • Understanding the interplay between director fields, defects, and flow is crucial.

Purpose of the Study:

  • To numerically investigate a continuum model of active nematics under active turbulence.
  • To analyze the impact of activity, elastic constant, and rotational diffusion on order and flow fields.
  • To elucidate the relationship between director field distortions, vorticity, and defect density.

Main Methods:

  • Numerical simulation of a continuum active nematic model.
  • Analysis of order parameter and flow fields.
  • Correlation analysis of vorticity, director field, and defect density.

Main Results:

  • Vorticity is strongly correlated with the director field, with defects acting as vorticity sources.
  • Defect density controls the correlation length of vorticity and order parameter.
  • Velocity correlation decay depends on the balance between activity and dissipation.
  • Distinct flow patterns and scales emerge for extensile versus contractile active nematics.

Conclusions:

  • Microscopic flow generation mechanisms are key to active turbulence patterns and scales.
  • The defect density is a critical parameter in active nematic hydrodynamics.
  • Active nematics exhibit distinct behaviors based on their extensile or contractile nature.