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Related Experiment Videos

Colloidal interactions in two-dimensional nematics.

M Tasinkevych1, N M Silvestre, P Patrício

  • 1Departamento de Física da Faculdade de Ciências and Centro de Física Teórica e Computacional, Universidade de Lisboa, Avenida Professor Gama Pinto 2, P-1649-003 Lisboa Codex, Portugal. miko@cii.fc.ul.pt

The European Physical Journal. E, Soft Matter
|March 11, 2004
PubMed
Summary
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Investigating two disks in a 2D nematic reveals complex interactions. Repulsive quadrupolar forces become attractive at short distances, altering disk orientation.

Area of Science:

  • Soft Matter Physics
  • Liquid Crystal Theory
  • Computational Physics

Background:

  • Nematic liquid crystals exhibit unique properties due to anisotropic molecular ordering.
  • Interactions between immersed objects in nematics are crucial for understanding material behavior.
  • Defect formation around boundaries influences macroscopic properties.

Purpose of the Study:

  • To analytically and numerically investigate the interaction between two disks in a 2D nematic.
  • To characterize the role of topological defects in mediating disk-disk interactions.
  • To explore the transition from repulsive to attractive forces based on inter-disk distance.

Main Methods:

  • Analytical calculations using the tensor order parameter formalism.
  • Numerical simulations employing finite-element methods with adaptive meshing.

Related Experiment Videos

  • Minimization of the Landau-de Gennes free energy functional.

    • Main Results:

    • Strong homeotropic anchoring induces half-integer topological defects around each disk.
    • A 2D quadrupolar interaction dominates at large inter-disk distances.
    • Short-range interactions become attractive due to defect repositioning, exhibiting anisotropy.
    • Disk orientation shifts from oblique to perpendicular as they approach.

    Conclusions:

    • The interaction between disks in a 2D nematic is complex and distance-dependent.
    • Topological defects play a critical role in mediating both repulsive and attractive forces.
    • The study provides insights into the behavior of confined anisotropic fluids.