Liquid crystal theory and modelling

Mottram, N.J. and Newton, C.J.P. (2012) Liquid crystal theory and modelling. In: Chen, J., Cranton, W. and Fihn, M. (eds.) Handbook of Visual Display Technology. Springer: Berlin, Heidelberg, pp. 1403-1428. ISBN 9783540795681 (doi: 10.1007/978-3-540-79567-4_87)

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Abstract

In this chapter we explain the rationale behind the theoretical modeling of liquid crystals and explain the important steps to construct a realistic and accurate model for a particular physical system. We then summarize two commonly used theories of nematics: one based on using the director as a dependent variable and one based on using the tensor order parameter. Using an example problem, the π-cell, we show the advantages and disadvantages of these two theoretical approaches, demonstrating the importance of carefully considering the choice of model before embarking on simulations.

Item Type:Book Sections
Status:Published
Glasgow Author(s) Enlighten ID:Mottram, Professor Nigel
Authors: Mottram, N.J., and Newton, C.J.P.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Publisher:Springer
ISBN:9783540795681

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