Monte Carlo lattice simulations of the elastic behaviour of nematic liquid crystals
Monte Carlo lattice simulations of the elastic behaviour of nematic liquid crystals
A pairwise additive potential, which approximately reproduces the free energy density for the elastic deformations of a nematic liquid crystal, originally proposed by Gruhn and Hess, has been investigated by simulating the three Freedericksz transitions as well as that of the Schadt-Helfrich cell. The pair potential depends on the three elastic constants K-1, K-2 and K-3 for the splay, twist acid bend deformations, respectively. The results of the simulations are compared with the analytical solutions obtained from continuum theory in order to test the accuracy of the model potential at a quantitative level. This comparison is also made for different temperatures to explore the influence of director fluctuations on the elastic behaviour.
director, defects, microstructure, fluctuations, potentials, display, model, field
769-778
Le Masurier, P.J.
8b4336cd-1396-4afd-bc53-f29d652d6009
Luckhurst, G.R.
7807d1c6-54a1-414f-9abe-22de4d9c30f7
Saielli, G.
d4ee9f77-2932-4f9b-95f7-94c14923ab92
1 May 2001
Le Masurier, P.J.
8b4336cd-1396-4afd-bc53-f29d652d6009
Luckhurst, G.R.
7807d1c6-54a1-414f-9abe-22de4d9c30f7
Saielli, G.
d4ee9f77-2932-4f9b-95f7-94c14923ab92
Le Masurier, P.J., Luckhurst, G.R. and Saielli, G.
(2001)
Monte Carlo lattice simulations of the elastic behaviour of nematic liquid crystals.
Liquid Crystals, 28 (5), .
(doi:10.1080/02678290010025495).
Abstract
A pairwise additive potential, which approximately reproduces the free energy density for the elastic deformations of a nematic liquid crystal, originally proposed by Gruhn and Hess, has been investigated by simulating the three Freedericksz transitions as well as that of the Schadt-Helfrich cell. The pair potential depends on the three elastic constants K-1, K-2 and K-3 for the splay, twist acid bend deformations, respectively. The results of the simulations are compared with the analytical solutions obtained from continuum theory in order to test the accuracy of the model potential at a quantitative level. This comparison is also made for different temperatures to explore the influence of director fluctuations on the elastic behaviour.
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Published date: 1 May 2001
Keywords:
director, defects, microstructure, fluctuations, potentials, display, model, field
Identifiers
Local EPrints ID: 19537
URI: http://eprints.soton.ac.uk/id/eprint/19537
ISSN: 1366-5855
PURE UUID: 3022f89a-3f1a-4b7d-8f32-bce6a956da28
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Date deposited: 15 Feb 2006
Last modified: 15 Mar 2024 06:16
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Author:
P.J. Le Masurier
Author:
G.R. Luckhurst
Author:
G. Saielli
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