Configuration of a chiral smectic-C film with a circular inclusion

研究成果: ジャーナルへの寄稿記事

13 引用 (Scopus)

抄録

It was shown experimentally (P.V. Dolganov et al., Europhys. Lett. 76, 250 (2006)) and by numerical calculations (C. Bohley, R. Stannarius, Eur. Phys. J. E 23, 25 (2007)) that the c -director profile of a two-dimensional chiral smectic-C (SmC) film around a circular inclusion adopts dipolar rather than quadrupolar configuration observed in achiral SmC films. We give an analytical argument on how spontaneous bend inherent in chiral SmC liquid crystals influences the configuration of a SmC liquid crystal film around a circular inclusion imposing tangential anchoring. We find how the angle α between two surface defects seen from the center of the inclusion depends on the radius of the inclusion R and the strength of the spontaneous bend q . We show, however, that the contribution of the spontaneous bend to the free energy suffers from mathematical ambiguity; it depends on the mathematical treatment of the outer boundary even when it is at infinity. This might indicate that the shape as well as the treatment of the outer boundary of the film can significantly influence the equilibrium configuration of the c -director and the position of the surface defects.

元の言語英語
ページ(範囲)91-98
ページ数8
ジャーナルEuropean Physical Journal E
24
発行部数1
DOI
出版物ステータス出版済み - 9 1 2007
外部発表Yes

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Liquid Crystals
inclusions
Surface defects
surface defects
configurations
Liquid crystals
liquid crystals
ambiguity
infinity
Free energy
free energy
radii
profiles

All Science Journal Classification (ASJC) codes

  • Biotechnology
  • Biophysics
  • Chemistry(all)
  • Materials Science(all)
  • Surfaces and Interfaces

これを引用

Configuration of a chiral smectic-C film with a circular inclusion. / Fukuda, J.

:: European Physical Journal E, 巻 24, 番号 1, 01.09.2007, p. 91-98.

研究成果: ジャーナルへの寄稿記事

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