Stability of domain walls in cylindrical layers of smectic C liquid crystals

R.J. Atkin, I.W. Stewart

Research output: Contribution to journalArticle

3 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)163-177
Number of pages14
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume55
Issue number2
DOIs
Publication statusPublished - May 2002

Fingerprint

Domain walls
Domain Wall
Liquid Crystal
Liquid crystals
domain wall
liquid crystals
Elastic Constants
Elastic constants
Concentric
elastic properties
Radius
occurrences
radii
estimates
Estimate

Keywords

  • smectics
  • liquid crystals
  • mechanics
  • applied mathematics

Cite this

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Stability of domain walls in cylindrical layers of smectic C liquid crystals. / Atkin, R.J.; Stewart, I.W.

In: Quarterly Journal of Mechanics and Applied Mathematics, Vol. 55, No. 2, 05.2002, p. 163-177.

Research output: Contribution to journalArticle

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T1 - Stability of domain walls in cylindrical layers of smectic C liquid crystals

AU - Atkin, R.J.

AU - Stewart, I.W.

PY - 2002/5

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N2 - 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.

AB - 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.

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KW - liquid crystals

KW - mechanics

KW - applied mathematics

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