Atkin, R.J. and Stewart, I.W.
(2002)
*Stability of domain walls in cylindrical layers of smectic C liquid crystals.*
Quarterly Journal of Mechanics and Applied Mathematics, 55 (2).
pp. 163-177.
ISSN 0033-5614

## Abstract

The stability of the static domain wall reported by Atkin and Stewart for an infinite sample of concentric, cylindrical layers of smectic C liquid crystals arranged with a fixed inner radius a > 0 is considered. A criterion is derived as a test for stability. Various estimates on the relative magnitudes of the smectic elastic constants lead to physically meaningful stability results. The occurrence of such a wall indicates the relative magnitudes of the combinations of constants A12 ? A21 and A12 andplus; A21 andplus; 2A11 and, in a special case, can indicate when A12 andap; A21.

Item type: | Article |
---|---|

ID code: | 2056 |

Keywords: | smectics, liquid crystals, mechanics, applied mathematics, Mathematics, Mechanics of Materials, Mechanical Engineering, Applied Mathematics, Condensed Matter Physics |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Strathprints Administrator |

Date Deposited: | 14 Jan 2007 |

Last modified: | 20 Oct 2015 11:11 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2056 |

### Actions (login required)

View Item |