Disclination core structure and induced phase change in nematic liquid crystals

NJ Mottram; S J Hogan

Disclination core structure and induced phase change in nematic liquid crystals

NJ Mottram
, S J Hogan

Research output: Working paper

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Abstract

Using a continuum theory which allows for changes in variables which represent the phase and biaxiality of the liquid crystal as well as the director field, the core structure of +/- 1/2 and +/-1 strength disclination lines is investigated. Under certain approximations analytical solutions are found near to the centre of the disclination. Good agreement is found with numerical solutions for the full problem. Using a continuation package (AUTO), the changes to these numerical solutions are then considered as various parameters are altered. The model exhibits a first order phase transition near to the clearing point temperature induced by the presence of the disclination core. If the disclination was not present this phase transition would occur when the liquid crystalline state loses stability at a higher temperature

Original language	English
Publisher	University of Bristol
Number of pages	33
Publication status	Published - 1996

Bibliographical note

Additional information: Later published by the Royal Society, Philosophical Transactions of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 355 (1731): 2045-2064 October 15, 1997

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

liquid crystal
core structure
first order phase transition
disclination core
continuum theory
continuation

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1 Article (Academic Journal)

Disclination core structure and induced phase change in nematic liquid crystals
Mottram, N. & Hogan, S., 1997, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 355, 1731, p. 2045 - 2064
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Cite this

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title = "Disclination core structure and induced phase change in nematic liquid crystals",

abstract = "Using a continuum theory which allows for changes in variables which represent the phase and biaxiality of the liquid crystal as well as the director field, the core structure of +/- 1/2 and +/-1 strength disclination lines is investigated. Under certain approximations analytical solutions are found near to the centre of the disclination. Good agreement is found with numerical solutions for the full problem. Using a continuation package (AUTO), the changes to these numerical solutions are then considered as various parameters are altered. The model exhibits a first order phase transition near to the clearing point temperature induced by the presence of the disclination core. If the disclination was not present this phase transition would occur when the liquid crystalline state loses stability at a higher temperature",

keywords = "liquid crystal, core structure, first order phase transition, disclination core, continuum theory, continuation",

author = "NJ Mottram and Hogan, \{S J\}",

note = "Additional information: Later published by the Royal Society, Philosophical Transactions of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 355 (1731): 2045-2064 October 15, 1997 ",

year = "1996",

language = "English",

publisher = "University of Bristol",

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T1 - Disclination core structure and induced phase change in nematic liquid crystals

AU - Mottram, NJ

AU - Hogan, S J

N1 - Additional information: Later published by the Royal Society, Philosophical Transactions of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences 355 (1731): 2045-2064 October 15, 1997

PY - 1996

Y1 - 1996

N2 - Using a continuum theory which allows for changes in variables which represent the phase and biaxiality of the liquid crystal as well as the director field, the core structure of +/- 1/2 and +/-1 strength disclination lines is investigated. Under certain approximations analytical solutions are found near to the centre of the disclination. Good agreement is found with numerical solutions for the full problem. Using a continuation package (AUTO), the changes to these numerical solutions are then considered as various parameters are altered. The model exhibits a first order phase transition near to the clearing point temperature induced by the presence of the disclination core. If the disclination was not present this phase transition would occur when the liquid crystalline state loses stability at a higher temperature

AB - Using a continuum theory which allows for changes in variables which represent the phase and biaxiality of the liquid crystal as well as the director field, the core structure of +/- 1/2 and +/-1 strength disclination lines is investigated. Under certain approximations analytical solutions are found near to the centre of the disclination. Good agreement is found with numerical solutions for the full problem. Using a continuation package (AUTO), the changes to these numerical solutions are then considered as various parameters are altered. The model exhibits a first order phase transition near to the clearing point temperature induced by the presence of the disclination core. If the disclination was not present this phase transition would occur when the liquid crystalline state loses stability at a higher temperature

KW - liquid crystal

KW - core structure

KW - first order phase transition

KW - disclination core

KW - continuum theory

KW - continuation

M3 - Working paper

BT - Disclination core structure and induced phase change in nematic liquid crystals

PB - University of Bristol

ER -

Disclination core structure and induced phase change in nematic liquid crystals

Abstract

Bibliographical note

Research Groups and Themes

Keywords

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Research output

Disclination core structure and induced phase change in nematic liquid crystals

Cite this