Configuration of a Smectic A Liquid Crystal Due to an Isolated Edge Dislocation

Benjamin Christopher Snow; Iain Stewart

doi:10.1088/1361-648X/aa6751

Configuration of a Smectic A Liquid Crystal Due to an Isolated Edge Dislocation

Benjamin Christopher Snow, Iain Stewart

Mathematics

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

Abstract

We discuss the static configuration of a smectic A liquid crystal subject to an edge dislocation under the assumption the the director and layer normal fields (n and a, respectively) defining the smectic arrangement are not, in general, equivalent. After constructing the energy density for the smectic, we obtain exact solutions to the equilibrium equations which result from its minimisation at quadratic order in the variables which describe the distortion, and hence a complete description of the smectic configuration across the domain of the sample. We also examine the effect of relaxing the constraint n ≡ a for different values of the constants which characterise the response of the material to distortions, and compare these results with the "classical" case considered by previous authors, in which equivalence of n and a is enforced.

Original language	English
Article number	195101
Number of pages	10
Journal	Journal of physics : Condensed matter
Volume	29
Issue number	19
Early online date	17 Mar 2017
DOIs	https://doi.org/10.1088/1361-648X/aa6751
Publication status	Published - 5 Apr 2017

Bibliographical note

© 2017 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Access to Document

10.1088/1361-648X/aa6751

AEM
© 2017 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details (embargo period: 12 months)
Accepted author manuscript, 432 KBLicence: CC BY-NC-ND

Cite this

@article{1d722d77d2ac4a87a12474e7604e3a46,

title = "Configuration of a Smectic A Liquid Crystal Due to an Isolated Edge Dislocation",

abstract = "We discuss the static configuration of a smectic A liquid crystal subject to an edge dislocation under the assumption the the director and layer normal fields (n and a, respectively) defining the smectic arrangement are not, in general, equivalent. After constructing the energy density for the smectic, we obtain exact solutions to the equilibrium equations which result from its minimisation at quadratic order in the variables which describe the distortion, and hence a complete description of the smectic configuration across the domain of the sample. We also examine the effect of relaxing the constraint n ≡ a for different values of the constants which characterise the response of the material to distortions, and compare these results with the {"}classical{"} case considered by previous authors, in which equivalence of n and a is enforced.",

author = "Snow, {Benjamin Christopher} and Iain Stewart",

note = "{\textcopyright} 2017 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher{\textquoteright}s self-archiving policy. Further copying may not be permitted; contact the publisher for details ",

year = "2017",

month = apr,

day = "5",

doi = "10.1088/1361-648X/aa6751",

language = "English",

volume = "29",

journal = "Journal of physics : Condensed matter",

issn = "0953-8984",

publisher = "IOP Publishing",

number = "19",

}

TY - JOUR

T1 - Configuration of a Smectic A Liquid Crystal Due to an Isolated Edge Dislocation

AU - Snow, Benjamin Christopher

AU - Stewart, Iain

N1 - © 2017 IOP Publishing Ltd. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

PY - 2017/4/5

Y1 - 2017/4/5

N2 - We discuss the static configuration of a smectic A liquid crystal subject to an edge dislocation under the assumption the the director and layer normal fields (n and a, respectively) defining the smectic arrangement are not, in general, equivalent. After constructing the energy density for the smectic, we obtain exact solutions to the equilibrium equations which result from its minimisation at quadratic order in the variables which describe the distortion, and hence a complete description of the smectic configuration across the domain of the sample. We also examine the effect of relaxing the constraint n ≡ a for different values of the constants which characterise the response of the material to distortions, and compare these results with the "classical" case considered by previous authors, in which equivalence of n and a is enforced.

AB - We discuss the static configuration of a smectic A liquid crystal subject to an edge dislocation under the assumption the the director and layer normal fields (n and a, respectively) defining the smectic arrangement are not, in general, equivalent. After constructing the energy density for the smectic, we obtain exact solutions to the equilibrium equations which result from its minimisation at quadratic order in the variables which describe the distortion, and hence a complete description of the smectic configuration across the domain of the sample. We also examine the effect of relaxing the constraint n ≡ a for different values of the constants which characterise the response of the material to distortions, and compare these results with the "classical" case considered by previous authors, in which equivalence of n and a is enforced.

U2 - 10.1088/1361-648X/aa6751

DO - 10.1088/1361-648X/aa6751

M3 - Article

SN - 0953-8984

VL - 29

JO - Journal of physics : Condensed matter

JF - Journal of physics : Condensed matter

IS - 19

M1 - 195101

ER -