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Defect interactions in a two-dimensional sheared lamellar mesophase.

A Pal1, S J Jaju2, V Kumaran1

  • 1Department of Chemical Engineering, Indian Institute of Science, Bangalore 560 012, India. kumaran@iisc.ac.in.

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|January 24, 2024
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Summary
This summary is machine-generated.

This study explores edge dislocation interactions in sheared liquid crystals. Different Ericksen numbers reveal distinct defect behaviors, including attraction, cancellation, and creation, impacting material order.

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Area of Science:

  • Soft Matter Physics
  • Liquid Crystals
  • Hydrodynamics

Background:

  • Edge dislocations are critical defects in materials science, influencing bulk properties.
  • Lyotropic liquid crystals exhibit complex phase behavior and defect dynamics under shear.
  • Understanding defect interactions is key to controlling material microstructure and performance.

Purpose of the Study:

  • To investigate the dynamic interactions between two edge dislocations in a sheared lyotropic lamellar liquid-crystalline medium.
  • To analyze defect behavior as a function of system size and Ericksen number.
  • To identify different regimes of defect interaction under compression and extension.

Main Methods:

  • Utilized a mesoscale hydrodynamic model based on a free-energy functional.
  • Employed concentration and momentum equations coupled with free-energy minimization.
  • Analyzed defect dynamics across various system sizes (32-128 layers) and Ericksen numbers.

Main Results:

  • Under compression, observed defect motion, attraction/cancellation, and defect creation due to instability.
  • Under extension, observed layer bending, plug flow, and layer buckling leading to defect creation.
  • Identified robust regimes independent of system size and convection-diffusion ratios.

Conclusions:

  • The Ericksen number dictates distinct defect interaction regimes in sheared liquid crystals.
  • Compressional and extensional shearing lead to fundamentally different defect dynamics and structural outcomes.
  • These findings provide insights into defect-mediated self-organization and pattern formation in soft materials.