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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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Geometric frustration in twist-bend nematic droplets.

Joseph Pollard1,2, Richard G Morris1,2,3

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Summary

Confinement in spherical droplets creates complex textures in twist-bend nematic liquid crystals. These exotic materials exhibit unique layered states and defect patterns, distinct from chiral counterparts.

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Area of Science:

  • Materials Science
  • Soft Matter Physics

Background:

  • Bent-core liquid crystals exhibit a unique twist-bend nematic phase.
  • This phase arises from a balance between bend distortion and molecular twist.
  • The twist-bend nematic phase shares properties with smectic and cholesteric liquid crystals.

Purpose of the Study:

  • To investigate how confinement and boundary anchoring affect the twist-bend nematic phase.
  • To catalogue metastable textures in spherical twist-bend nematic droplets.
  • To analyze the influence of molecular cone angle and pitch length to droplet radius ratio on these textures.

Main Methods:

  • Numerical simulations
  • Topological analysis
  • Geometric analysis

Main Results:

  • Confinement exacerbates frustration in the twist-bend nematic phase.
  • Spherical droplets exhibit complex layered states, defect constellations, and Hopfions.
  • Observed structures are geometrically distinct from cholesteric phases due to the absence of chirality.

Conclusions:

  • Spherical twist-bend nematic droplets display a rich variety of metastable textures under radial anchoring.
  • The observed complexity is comparable to cholesteric systems but with unique geometric features.
  • This study provides a catalogue of textures relevant for understanding confined liquid crystal systems.