Stability of equilibrium states in finite samples of smectic C* liquid crystals

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Equilibrium solutions for a sample of ferroelectric smectic C (SmC*) liquid crystal in the 'bookshelf' geometry under the influence of a tilted electric field will be presented. A linear stability criterion is identified and used to confirm stability for typical materials possessing either positive or negative dielectric anisotropy. The theoretical response times for perturbations to the equilibrium solutions are calculated numerically and found to be consistent with estimates for response times in ferroelectric smectic C liquid crystals reported elsewhere in the literature for non-tilted fields.
LanguageEnglish
Pages1853-1873
Number of pages20
JournalJournal of Physics A: Mathematical and Theoretical
Volume38
Issue number9
DOIs
Publication statusPublished - 16 Feb 2005

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Stability of Equilibria
Equilibrium Solution
Equilibrium State
Liquid Crystal
Liquid crystals
Response Time
Ferroelectric materials
liquid crystals
Stability criteria
Linear Stability
Stability Criteria
Anisotropy
Electric Field
Electric fields
Perturbation
perturbation
anisotropy
Geometry
electric fields
estimates

Keywords

  • liquid crystal
  • dielectric anisotropy
  • smectics
  • fluid physics

Cite this

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abstract = "Equilibrium solutions for a sample of ferroelectric smectic C (SmC*) liquid crystal in the 'bookshelf' geometry under the influence of a tilted electric field will be presented. A linear stability criterion is identified and used to confirm stability for typical materials possessing either positive or negative dielectric anisotropy. The theoretical response times for perturbations to the equilibrium solutions are calculated numerically and found to be consistent with estimates for response times in ferroelectric smectic C liquid crystals reported elsewhere in the literature for non-tilted fields.",
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Stability of equilibrium states in finite samples of smectic C* liquid crystals. / Stewart, I.W.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 38, No. 9, 16.02.2005, p. 1853-1873.

Research output: Contribution to journalArticle

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T1 - Stability of equilibrium states in finite samples of smectic C* liquid crystals

AU - Stewart, I.W.

PY - 2005/2/16

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AB - Equilibrium solutions for a sample of ferroelectric smectic C (SmC*) liquid crystal in the 'bookshelf' geometry under the influence of a tilted electric field will be presented. A linear stability criterion is identified and used to confirm stability for typical materials possessing either positive or negative dielectric anisotropy. The theoretical response times for perturbations to the equilibrium solutions are calculated numerically and found to be consistent with estimates for response times in ferroelectric smectic C liquid crystals reported elsewhere in the literature for non-tilted fields.

KW - liquid crystal

KW - dielectric anisotropy

KW - smectics

KW - fluid physics

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U2 - 10.1088/0305-4470/38/9/003

DO - 10.1088/0305-4470/38/9/003

M3 - Article

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EP - 1873

JO - Journal of Physics A: Mathematical and Theoretical

T2 - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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