Fast algorithms for liquid crystal modelling

Thomas P. Bennett; Yogesh Murugesan; Keith R. Daly; Giovanni De Matteis; Giampaolo D'Alessandro

doi:10.1117/12.2059525

7 October 2014 Fast algorithms for liquid crystal modelling

Thomas P. Bennett, Yogesh Murugesan, Keith R. Daly, Giovanni De Matteis, Giampaolo D'Alessandro

Proceedings Volume 9182, Liquid Crystals XVIII; 918208 (2014) https://doi.org/10.1117/12.2059525
Event: SPIE Organic Photonics + Electronics, 2014, San Diego, California, United States

Abstract

We review different modeling and computational methods to determine the Q-tensor representation of the director field alignment in the absence of defects. Under this condition it is possible to represent the reorientation dynamics of the director field as the motion of the Q-tensor over an invariant manifold. This new representation allows us to develop very accurate codes for the alignment that are orders of magnitude faster than an equivalent full Q-tensor code. We illustrate this principle by discussing the case of a pure liquid crystal with or without flow and the case of a liquid crystal doped with fixed metallic nano-inclusions.

Citation Download Citation

Thomas P. Bennett, Yogesh Murugesan, Keith R. Daly, Giovanni De Matteis, and Giampaolo D'Alessandro "Fast algorithms for liquid crystal modelling", Proc. SPIE 9182, Liquid Crystals XVIII, 918208 (7 October 2014); https://doi.org/10.1117/12.2059525

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