Interaction of small spherical particles in confined cholesteric liquid crystals

B. I. Lev, Jun-ichi Fukuda, O. M. Tovkach, and S. B. Chernyshuk
Phys. Rev. E 89, 012509 – Published 29 January 2014

Abstract

The theory of the elastic interaction of spherical colloidal particles immersed into a confined cholesteric liquid crystal is proposed. The case of weak anchoring on the particle surfaces is considered. We derive a general expression for the energy of the interaction between small spherical particles (with diameter much smaller than the cholesteric pitch) suspended in a cholesteric confined by two parallel planes. The resulting form of the interaction energy has a more complex spatial pattern and energy versus distance dependence than that in nematic colloids. The absence of translational symmetry related to helical periodicity and local nematic ordering in cholesteric liquid crystals manifest themselves in the complex nature of the interaction maps.

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  • Received 8 November 2013

DOI:https://doi.org/10.1103/PhysRevE.89.012509

©2014 American Physical Society

Authors & Affiliations

B. I. Lev1,2, Jun-ichi Fukuda2, O. M. Tovkach1, and S. B. Chernyshuk3

  • 1Bogolyubov Institute for Theoretical Physics, NAS of Ukraine, Metrologichna 14-b, Kyiv 03680, Ukraine
  • 2Nanosystem Research Institute, National Institute of Advanced Industrial Science and Technology (AIST),1-1-1 Umezono, Tsukuba 305-8568, Japan
  • 3Institute of Physics, NAS of Ukraine, Prospekt Nauky 46, Kyiv 03650, Ukraine

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Issue

Vol. 89, Iss. 1 — January 2014

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