Director configuration and dynamics of a nematic liquid crystal around a two-dimensional spherical particle: Numerical analysis using adaptive grids

Junichi Fukuda, H. Yokoyama

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

We study numerically the director and orientational order parameter configurations in a nematic liquid crystal around a two-dimensional spherical particle on the basis of the tensor order parameter formalism. To properly account for the large length scale difference between the particle and the accompanying orientational defect, we devise an adaptive grid scheme in which the lattice spacing is automatically and locally adjusted in response to the spatial gradient of the orientational order parameter. This adaptive grid scheme is useful in studying dynamical as well as static orientational structures. We present a simulation result which shows how a hedgehog defect of topological charge -1 becomes unstable in two dimensions, and splits into a defect pair of topological charge -1/2, located symmetrically around the particle.

Original languageEnglish
Pages (from-to)389-396
Number of pages8
JournalEuropean Physical Journal E
Volume4
Issue number3
DOIs
Publication statusPublished - Mar 2001
Externally publishedYes

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Liquid Crystals
Nematic liquid crystals
numerical analysis
Numerical analysis
liquid crystals
grids
Defects
defects
configurations
Tensors
spacing
tensors
formalism
gradients
simulation

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Physics and Astronomy (miscellaneous)

Cite this

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