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Structure of smectic-A liquid crystals in nonuniform domains: Modeling the impact of imperfect boundaries. / Al Sallo, Ayad; Walker, Alan; Boswell, Graeme.

In: Physical Review E, Vol. 101, No. 3, 032703, 16.03.2020.

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@article{7a119ea1947f41388ab950ba8c9de945,
title = "Structure of smectic-A liquid crystals in nonuniform domains: Modeling the impact of imperfect boundaries",
abstract = "This paper describes the construction of equilibrium configurations for smectic-A liquid crystals subjected to nonuniform physical boundary conditions, with two-dimensional dependence on the director and layer normal, and a nonlinear layer function. Euler-Lagrange equations are constructed that describe key properties of liquid crystals confined between two boundaries exhibiting spatial imperfections. The results of the model are shown to be consistent with previous published findings in simple domains while results are obtained on how the structure of the liquid crystals changes in response to boundary perturbations. Domain sizes are considered representing those currently used in applications while predictions in smaller domains at the limit of current technologies are also made. In particular, it is shown that the curvature along a boundary impacts on the liquid crystal's structure distant from the boundary feature and therefore previously developed mathematical models, that essentially reduced the problem to a single spatial dimension, cannot be used in such circumstances. Consequences for practical applications are briefly discussed.",
keywords = "smectic A, non-uniform domain, smectic layers, liquid crystals, boundary value problem, partial differential equations",
author = "{Al Sallo}, Ayad and Alan Walker and Graeme Boswell",
year = "2020",
month = "3",
day = "16",
doi = "10.1103/PhysRevE.101.032703",
language = "English",
volume = "101",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Structure of smectic-A liquid crystals in nonuniform domains: Modeling the impact of imperfect boundaries

AU - Al Sallo, Ayad

AU - Walker, Alan

AU - Boswell, Graeme

PY - 2020/3/16

Y1 - 2020/3/16

N2 - This paper describes the construction of equilibrium configurations for smectic-A liquid crystals subjected to nonuniform physical boundary conditions, with two-dimensional dependence on the director and layer normal, and a nonlinear layer function. Euler-Lagrange equations are constructed that describe key properties of liquid crystals confined between two boundaries exhibiting spatial imperfections. The results of the model are shown to be consistent with previous published findings in simple domains while results are obtained on how the structure of the liquid crystals changes in response to boundary perturbations. Domain sizes are considered representing those currently used in applications while predictions in smaller domains at the limit of current technologies are also made. In particular, it is shown that the curvature along a boundary impacts on the liquid crystal's structure distant from the boundary feature and therefore previously developed mathematical models, that essentially reduced the problem to a single spatial dimension, cannot be used in such circumstances. Consequences for practical applications are briefly discussed.

AB - This paper describes the construction of equilibrium configurations for smectic-A liquid crystals subjected to nonuniform physical boundary conditions, with two-dimensional dependence on the director and layer normal, and a nonlinear layer function. Euler-Lagrange equations are constructed that describe key properties of liquid crystals confined between two boundaries exhibiting spatial imperfections. The results of the model are shown to be consistent with previous published findings in simple domains while results are obtained on how the structure of the liquid crystals changes in response to boundary perturbations. Domain sizes are considered representing those currently used in applications while predictions in smaller domains at the limit of current technologies are also made. In particular, it is shown that the curvature along a boundary impacts on the liquid crystal's structure distant from the boundary feature and therefore previously developed mathematical models, that essentially reduced the problem to a single spatial dimension, cannot be used in such circumstances. Consequences for practical applications are briefly discussed.

KW - smectic A

KW - non-uniform domain

KW - smectic layers

KW - liquid crystals

KW - boundary value problem

KW - partial differential equations

U2 - 10.1103/PhysRevE.101.032703

DO - 10.1103/PhysRevE.101.032703

M3 - Article

C2 - 32289914

VL - 101

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 3

M1 - 032703

ER -

ID: 2690352