Stability of the periodic deformations in planar nematic layers

G. Derfel

doi:10.1080/02678299208029001

Stability of the periodic deformations in planar nematic layers

G. Derfel

Research output: Contribution to journal › Article › peer-review

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Abstract

The periodic deformations induced by external fields have been analysed by means of the Taylor expansion method based on the theorems of catastrophe theory. The analysis is restricted to the planar nematic slab influenced by a magnetic field. Two different configurations of the field which lead to periodic deformations with prevailing splay or twist we considered. The ranges of material constants at which the periodic state is stable and the threshold magnetic field strength have been found. The problem of transitions between the undeformed, uniformly deformed and periodic states is discussed.

Original language	English
Pages (from-to)	431-438
Number of pages	8
Journal	Liquid Crystals
Volume	11
Issue number	3
DOIs	https://doi.org/10.1080/02678299208029001
State	Published - 1 Jan 1992
Externally published	Yes

ASJC Scopus subject areas

General Chemistry
General Materials Science
Condensed Matter Physics

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10.1080/02678299208029001

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abstract = "The periodic deformations induced by external fields have been analysed by means of the Taylor expansion method based on the theorems of catastrophe theory. The analysis is restricted to the planar nematic slab influenced by a magnetic field. Two different configurations of the field which lead to periodic deformations with prevailing splay or twist we considered. The ranges of material constants at which the periodic state is stable and the threshold magnetic field strength have been found. The problem of transitions between the undeformed, uniformly deformed and periodic states is discussed.",

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AB - The periodic deformations induced by external fields have been analysed by means of the Taylor expansion method based on the theorems of catastrophe theory. The analysis is restricted to the planar nematic slab influenced by a magnetic field. Two different configurations of the field which lead to periodic deformations with prevailing splay or twist we considered. The ranges of material constants at which the periodic state is stable and the threshold magnetic field strength have been found. The problem of transitions between the undeformed, uniformly deformed and periodic states is discussed.

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DO - 10.1080/02678299208029001

M3 - Article

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Stability of the periodic deformations in planar nematic layers

Abstract

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