Confinement effect on the interaction between colloidal particles in a nematic liquid crystal: An analytical study

Junichi Fukuda, Slobodan Zumer

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26 Citations (Scopus)

Abstract

Motivated by a recent experimental study on the interaction between colloidal particles in a confined nematic liquid crystal, we discuss in an analytical manner how the interaction potential U between spherical colloidal particles in a confined nematic cell behaves as a function of the interparticle distance r. We show that the short-range potential follows a power law U (r) ∼ r-5 as expected from the quadrupolar nature of the interaction, while the long-range potential is dominated by an exponential function U (r) ∼ d/r exp (-2πr/d), where d is the cell thickness. These two regimes are interchanged at r/d 0.8. This behavior of U (r) is in a good semiquantitative agreement with the experimental finding.

Original languageEnglish
Article number041703
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume79
Issue number4
DOIs
Publication statusPublished - Apr 21 2009
Externally publishedYes

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Nematic Liquid Crystal
liquid crystals
Interaction
Cell
exponential functions
interactions
Range of data
Experimental Study
Power Law
cells

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

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