Abstract
Language | English |
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Article number | 195101 |
Number of pages | 10 |
Journal | Journal of Physics: Condensed Matter |
Volume | 29 |
Issue number | 19 |
Early online date | 5 Apr 2017 |
DOIs | |
Publication status | Published - 17 May 2017 |
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Keywords
- dislocation
- smectic liquid crystals
- nonlinear continuum model
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Configuration of a smectic A liquid crystal due to an isolated edge dislocation. / Snow, B C; Stewart, I W.
In: Journal of Physics: Condensed Matter, Vol. 29, No. 19, 195101, 17.05.2017.Research output: Contribution to journal › Article
TY - JOUR
T1 - Configuration of a smectic A liquid crystal due to an isolated edge dislocation
AU - Snow, B C
AU - Stewart, I W
PY - 2017/5/17
Y1 - 2017/5/17
N2 - We discuss the static configuration of a smectic A liquid crystal subject to an edge dislocation under the assumption that the director and layer normal fields (n and a, respectively) defining the smectic arrangement are not, in general, equivalent. After constructing the free energy 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 that the director and layer normal fields (n and a, respectively) defining the smectic arrangement are not, in general, equivalent. After constructing the free energy 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.
KW - dislocation
KW - smectic liquid crystals
KW - nonlinear continuum model
UR - https://iopscience.iop.org/journal/0953-8984
U2 - 10.1088/1361-648X/aa6751
DO - 10.1088/1361-648X/aa6751
M3 - Article
VL - 29
JO - Journal of Physics: Condensed Matter
T2 - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
SN - 0953-8984
IS - 19
M1 - 195101
ER -