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Multiscale models of colloidal dispersion of particles in nematic liquid crystals

Multiscale models of colloidal dispersion of particles in nematic liquid crystals
Multiscale models of colloidal dispersion of particles in nematic liquid crystals
We use homogenization theory to develop a multiscale model of colloidal dispersion of particles in nematic liquid crystals under weak-anchoring conditions. We validate the model by comparing it with simulations by using the Landau–de Gennes free energy and show that the agreement is excellent. We then use the multiscale model to study the effect that particle anisotropy has on the liquid crystal: spherically symmetric particles always reduce the effective elastic constant. Asymmetric particles introduce an effective alignment field that can increase the Fredericks threshold and decrease the switch-off time.
1539-3755
Bennett, Thomas P.
149b33f3-d18f-4a77-bee1-7575951ac8c6
D'Alessandro, Giampaolo
bad097e1-9506-4b6e-aa56-3e67a526e83b
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c
Bennett, Thomas P.
149b33f3-d18f-4a77-bee1-7575951ac8c6
D'Alessandro, Giampaolo
bad097e1-9506-4b6e-aa56-3e67a526e83b
Daly, Keith R.
64f85c2e-2562-44df-9cb8-1be7fbc7e74c

Bennett, Thomas P., D'Alessandro, Giampaolo and Daly, Keith R. (2014) Multiscale models of colloidal dispersion of particles in nematic liquid crystals. Physical Review E, 90 (6), [62505]. (doi:10.1103/PhysRevE.90.062505).

Record type: Article

Abstract

We use homogenization theory to develop a multiscale model of colloidal dispersion of particles in nematic liquid crystals under weak-anchoring conditions. We validate the model by comparing it with simulations by using the Landau–de Gennes free energy and show that the agreement is excellent. We then use the multiscale model to study the effect that particle anisotropy has on the liquid crystal: spherically symmetric particles always reduce the effective elastic constant. Asymmetric particles introduce an effective alignment field that can increase the Fredericks threshold and decrease the switch-off time.

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Accepted/In Press date: 16 September 2014
e-pub ahead of print date: 15 December 2014
Organisations: Bioengineering Group, Applied Mathematics

Identifiers

Local EPrints ID: 372752
URI: http://eprints.soton.ac.uk/id/eprint/372752
ISSN: 1539-3755
PURE UUID: d4afbc67-e60c-4542-97fd-549403a0edfa
ORCID for Giampaolo D'Alessandro: ORCID iD orcid.org/0000-0001-9166-9356

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Date deposited: 18 Dec 2014 11:44
Last modified: 15 Mar 2024 02:48

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Contributors

Author: Thomas P. Bennett
Author: Keith R. Daly

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