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Interaction between two spherical particles in a nematic liquid crystal.

Jun-ichi Fukuda1, Holger Stark, Makoto Yoneya

  • 1Yokoyama Nano-structured Liquid Crystal Project, ERATO, Japan Science and Technology Agency, 5-9-9 Tokodai, Tsukuba 300-2635, Japan. fukuda@nanolc.jst.go.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 1, 2004
PubMed
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We numerically investigated particle interactions in nematic liquid crystals. Parallel hedgehog defects lead to attraction, while antiparallel configurations cause stronger-than-expected repulsion.

Area of Science:

  • Soft Matter Physics
  • Liquid Crystal Physics
  • Computational Physics

Background:

  • Nematic liquid crystals exhibit orientational order.
  • Spherical particles with topological defects influence this order.
  • Understanding particle interactions is crucial for materials science.

Purpose of the Study:

  • To numerically investigate the interaction between two spherical particles in a nematic liquid crystal.
  • To analyze the role of hyperbolic hedgehog defects on particle interactions.
  • To compare numerical results with theoretical dipole-dipole interaction models.

Main Methods:

  • Utilized Landau-de Gennes continuum theory with a second-rank tensor order parameter.
  • Employed bispherical coordinates for geometric description and boundary conditions.

Related Experiment Videos

  • Implemented an adaptive mesh refinement scheme for handling topological defects.

    • Main Results:

    • Parallel hedgehog defects resulted in attractive interaction potential, proportional to D-3 at large distances.
    • An attractive potential minimum was observed at approximately D = 2.46 R0.
    • Antiparallel hedgehog configurations exhibited repulsive interaction, behaving as D-2, stronger than predicted D-3 repulsion.

    Conclusions:

    • The study elucidates the complex interaction potentials between particles in nematic liquid crystals.
    • The presence and orientation of hyperbolic hedgehog defects significantly alter inter-particle forces.
    • Numerical simulations provide valuable insights into soft matter physics phenomena.