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Confining hard rectangular particles in nanocavities alters their liquid crystal phases. Surface effects break symmetry, leading to domain walls and unique ordering compared to bulk behavior, especially for different particle shapes.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Materials Science

Background:

  • Liquid crystal phases are influenced by particle shape and confinement.
  • Hard rectangular particles exhibit diverse bulk phases including nematic, smectic, columnar, and crystalline.
  • Surface-induced effects can significantly alter ordering in confined systems.

Purpose of the Study:

  • To analyze liquid-crystal patterns and phase behavior of hard rectangular particles in a 2D square nanocavity.
  • To investigate the influence of particle aspect ratio (κ) and cavity size (H) on ordering.
  • To compare confined behavior with bulk properties.

Main Methods:

  • Density-functional theory in the restricted-orientation approximation.
  • Simulation of hard rectangular particles with varying aspect ratios (κ=1, 3, 6) in a square nanocavity of size H.
  • Analysis of bulk and confined phase diagrams.

Main Results:

  • Confinement breaks fourfold symmetry in all phases, leading to twofold symmetric structures.
  • Frustration is relaxed by domain walls, crucial for stabilizing periodic phases.
  • Commensurate transitions occur with varying cavity size, involving different structures (e.g., number of peaks, columns, smectic layers) depending on κ.

Conclusions:

  • Nanocavity confinement leads to distinct liquid crystal ordering compared to bulk behavior.
  • Particle aspect ratio and cavity size are critical parameters governing phase transitions and symmetry breaking.
  • The model provides insights into confined systems and can explore bulk disordered phases near close packing.