arrow
Volume 10, Issue 2
Defects Around a Spherical Particle in Cholesteric Liquid Crystals

Yu Tong, Yiwei Wang & Pingwen Zhang

Numer. Math. Theor. Meth. Appl., 10 (2017), pp. 205-221.

Published online: 2017-10

Export citation
  • Abstract

We investigate the defect structures around a spherical colloidal particle in a cholesteric liquid crystal using spectral method, which is specially devised to cope with the inhomogeneity of the cholesteric at infinity. We pay particular attention to the cholesteric counterparts of nematic metastable configurations. When the spherical colloidal particle imposes strong homeotropic anchoring on its surface, besides the well-known twisted Saturn ring, we find another metastable defect configuration, which corresponds to the dipole in a nematic, without outside confinement. This configuration is energetically preferable to the twisted Saturn ring when the particle size is large compared to the nematic coherence length and small compared to the cholesteric pitch. When the colloidal particle imposes strong planar anchoring, we find the cholesteric twist can result in a split of the defect core on the particle surface similar to that found in a nematic liquid crystal by lowering temperature or increasing particle size.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{NMTMA-10-205, author = {}, title = {Defects Around a Spherical Particle in Cholesteric Liquid Crystals}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2017}, volume = {10}, number = {2}, pages = {205--221}, abstract = {

We investigate the defect structures around a spherical colloidal particle in a cholesteric liquid crystal using spectral method, which is specially devised to cope with the inhomogeneity of the cholesteric at infinity. We pay particular attention to the cholesteric counterparts of nematic metastable configurations. When the spherical colloidal particle imposes strong homeotropic anchoring on its surface, besides the well-known twisted Saturn ring, we find another metastable defect configuration, which corresponds to the dipole in a nematic, without outside confinement. This configuration is energetically preferable to the twisted Saturn ring when the particle size is large compared to the nematic coherence length and small compared to the cholesteric pitch. When the colloidal particle imposes strong planar anchoring, we find the cholesteric twist can result in a split of the defect core on the particle surface similar to that found in a nematic liquid crystal by lowering temperature or increasing particle size.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017.s01}, url = {http://global-sci.org/intro/article_detail/nmtma/12343.html} }
TY - JOUR T1 - Defects Around a Spherical Particle in Cholesteric Liquid Crystals JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 205 EP - 221 PY - 2017 DA - 2017/10 SN - 10 DO - http://doi.org/10.4208/nmtma.2017.s01 UR - https://global-sci.org/intro/article_detail/nmtma/12343.html KW - AB -

We investigate the defect structures around a spherical colloidal particle in a cholesteric liquid crystal using spectral method, which is specially devised to cope with the inhomogeneity of the cholesteric at infinity. We pay particular attention to the cholesteric counterparts of nematic metastable configurations. When the spherical colloidal particle imposes strong homeotropic anchoring on its surface, besides the well-known twisted Saturn ring, we find another metastable defect configuration, which corresponds to the dipole in a nematic, without outside confinement. This configuration is energetically preferable to the twisted Saturn ring when the particle size is large compared to the nematic coherence length and small compared to the cholesteric pitch. When the colloidal particle imposes strong planar anchoring, we find the cholesteric twist can result in a split of the defect core on the particle surface similar to that found in a nematic liquid crystal by lowering temperature or increasing particle size.

Yu Tong, Yiwei Wang & Pingwen Zhang. (2020). Defects Around a Spherical Particle in Cholesteric Liquid Crystals. Numerical Mathematics: Theory, Methods and Applications. 10 (2). 205-221. doi:10.4208/nmtma.2017.s01
Copy to clipboard
The citation has been copied to your clipboard