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Quantifying Mixing using Magnetic Resonance Imaging
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Maximally mixing active nematics.

Kevin A Mitchell1, Md Mainul Hasan Sabbir1, Kevin Geumhan1

  • 1Physics Department, University of California, Merced, California 95344, USA.

Physical Review. E
|February 17, 2024
PubMed
Summary
This summary is machine-generated.

Active nematics exhibit stable periodic motion in confined systems, leading to maximally chaotic fluid mixing. This discovery optimizes topological entropy and is crucial for experimental observation.

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Area of Science:

  • Soft condensed matter physics
  • Non-equilibrium systems

Background:

  • Active nematics are systems of self-driven, rod-like particles.
  • Their fluid motion typically displays chaotic advection, characterized by exponential stretching.

Purpose of the Study:

  • To investigate stable periodic motion in active nematics within confined geometries.
  • To analyze the mixing properties and stability of this periodic motion.

Main Methods:

  • Numerical simulations of active nematic systems.
  • Application of braid theory to quantify mixing efficiency.
  • Analysis of defect motion and stability.

Main Results:

  • Stable periodic motion observed in active nematics confined to a small square with periodic boundary conditions.
  • This periodic motion achieves maximal mixing, optimizing topological entropy.
  • The stability of the periodic state was analyzed and methods for larger periodic tiling were developed.

Conclusions:

  • Counterintuitively, periodic defect motion in active nematics yields greater chaotic mixing than chaotic defect motion.
  • The findings provide a pathway to stabilize active nematic states for experimental realization.