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Discotic liquid crystal shells under mixed anchoring: Monte Carlo simulation study.

Daniel Ignacio Salgado-Blanco1,2, Jose Adrian Martinez-Gonzalez3,4, Enrique Díaz-Herrera5

  • 1Investigadores por México SECIHTI-Grupo de Ciencia e Ingeniería Computacionales, Centro Nacional de Supercómputo. IPICYT, Camino a la Presa San José 2055, 78216 San Luis Potosí, Mexico.

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Summary
This summary is machine-generated.

Topological defects form in discotic liquid crystals (LCs) within spherical shells. Anchoring conditions and shell thickness dictate the type and number of disclination lines observed.

Keywords:
Monte Carlo simulationsdiscotic liquid crystalsliquid crystal shellssoft mattertopological defects

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Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Liquid Crystal Science

Background:

  • Topological defects (TDs) are inherent in ordered phases, particularly in confined geometries like liquid crystal (LC) shells.
  • Understanding TD formation is crucial for applications leveraging LC properties.

Purpose of the Study:

  • To investigate the formation and characteristics of TDs in discotic LCs confined within spherical shells.
  • To explore the influence of mixed anchoring conditions and varying shell thicknesses on TD structures.

Main Methods:

  • Utilized Monte Carlo simulations to model discotic LCs confined between concentric spherical surfaces.
  • Examined two mixed anchoring scenarios: homeotropic/planar and planar/homeotropic.
  • Analyzed defect formation across three distinct shell thicknesses.

Main Results:

  • Observed multiple disclination lines obeying the Poincaré-Hopf theorem.
  • Thicker shells showed two +1/2 disclination arches or a disclination ring depending on anchoring.
  • Thinner shells exhibited wedge and twist disclinations terminating at the edge-on surface, with twist disclinations contributing +1/2 charge.
  • Confinement-induced isotropic-nematic transition was confirmed.

Conclusions:

  • Anchoring conditions and shell thickness significantly influence TD formation in confined discotic LCs.
  • The study provides insights into the complex interplay between geometry, boundary conditions, and defect topology.
  • Findings contribute to the fundamental understanding of ordered soft matter systems.