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Elastic octopoles and colloidal structures in nematic liquid crystals.

S B Chernyshuk1, O M Tovkach2, B I Lev2

  • 1Institute of Physics, NAS Ukraine, Prospekt Nauki 46, Kyiv 03650, Ukraine.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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We present a theoretical model for colloidal crystal formation in liquid crystals. The octopole moment is key to creating 2D and 3D structures, and explains giant electrostriction effects under electric fields.

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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Liquid Crystal Physics

Background:

  • Nematic liquid crystals exhibit complex phase behaviors.
  • Colloidal particles in liquid crystals can self-assemble into ordered structures.
  • Understanding particle interactions is crucial for controlling self-assembly.

Purpose of the Study:

  • To develop a theoretical model for dipolar colloidal structure formation in nematic liquid crystals.
  • To investigate the role of multipole moments in self-assembly.
  • To explain the giant electrostriction effect in 3D nematic colloidal crystals.

Main Methods:

  • Theoretical modeling of colloidal particles as effective hard spheres.
  • Analysis of inter-particle interactions including dipole, quadrupole, and octopole moments.
  • Generalization of the model to include external electric fields.

Main Results:

  • The octopole moment is identified as a critical factor in the formation of both 2D and 3D nematic colloidal crystals.
  • The theoretical model successfully explains the observed giant electrostriction effect in 3D crystals under an external electric field.
  • The model provides a framework for understanding and predicting colloidal self-assembly in liquid crystalline environments.

Conclusions:

  • The octopole moment significantly influences the self-assembly of colloidal particles in nematic liquid crystals.
  • The developed theoretical model offers insights into the mechanisms behind colloidal crystal formation and electrostriction.
  • This work contributes to the fundamental understanding of soft matter systems and their response to external stimuli.