### 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 |

巻 | 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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### 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.

研究成果: ジャーナルへの寄稿 › 記事

*European Physical Journal E*, 巻. 24, 番号 1, pp. 91-98. https://doi.org/10.1140/epje/i2007-10216-2

}

TY - JOUR

T1 - Configuration of a chiral smectic-C film with a circular inclusion

AU - Fukuda, J.

PY - 2007/9/1

Y1 - 2007/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=38149003019&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38149003019&partnerID=8YFLogxK

U2 - 10.1140/epje/i2007-10216-2

DO - 10.1140/epje/i2007-10216-2

M3 - Article

C2 - 17762911

AN - SCOPUS:38149003019

VL - 24

SP - 91

EP - 98

JO - European Physical Journal E

JF - European Physical Journal E

SN - 1292-8941

IS - 1

ER -