Interactions between pentagonal truncated pyramids with homeotropic anchoring in a nematic liquid crystal

Seyed Reza Seyednejad, Mohammad Reza Mozaffari, Takeaki Araki, and Ehsan Nedaaee Oskoee
Phys. Rev. E 98, 032701 – Published 4 September 2018

Abstract

In this study, we numerically investigate the interactions between pentagonal truncated pyramids in a nematic liquid crystal host. The colloidal arrangements are investigated by minimizing the Landau-de Gennes free energy in presence of homeotropic anchoring surface energy upon the particles. We further explain the interactions using symmetry breaking in the director field and particle-particle relative arrangements. In the case of long-range separations, interactions exhibit some deviations from those observed in the case of dipolar symmetry. We also exhibit that, in some cases, decreasing the bending elastic distortions between two adjacent lateral faces will cause a nonhorizontal side-to-side configuration. In many-body interactions, we evaluate the ability of the bent and branch configurations to form complex self-tiling assemblies pentagonal truncated pyramid blocks.

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  • Received 15 February 2018
  • Revised 7 August 2018

DOI:https://doi.org/10.1103/PhysRevE.98.032701

©2018 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Seyed Reza Seyednejad1, Mohammad Reza Mozaffari2,*, Takeaki Araki3, and Ehsan Nedaaee Oskoee4

  • 1Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran
  • 2Department of Physics, University of Qom, Qom 3716146611, Iran
  • 3Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan
  • 4Research Center for Basic Sciences & Modern Technologies (RBST), Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran

  • *m.mozaffari@qom.ac.ir

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Issue

Vol. 98, Iss. 3 — September 2018

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