The University of Southampton
University of Southampton Institutional Repository

Monte Carlo lattice simulations of the elastic behaviour of nematic liquid crystals

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
1366-5855
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
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), 769-778. (doi:10.1080/02678290010025495).

Record type: Article

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.

Full text not available from this repository.

More information

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

Catalogue record

Date deposited: 15 Feb 2006
Last modified: 15 Jul 2019 19:27

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×