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Elastic director vibrations in nematic liquid crystals

Published online by Cambridge University Press:  13 November 2014

STEFANO S. TURZI
STEFANO S. TURZI*
Affiliation:
Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano, Italy email: stefano.turzi@polimi.it
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Abstract

Recently Biscari, DiCarlo and Turzi [Anisotropic wave propagation in nematic liquid crystals, Soft Matter 10, 8296–8307.] proposed a theory for nematoacustics which models nematic liquid crystals as nematic elastomers with molecular relaxation. Here, we extend the analysis of this theory to account for the director motion possibly induced by the propagation of a sound wave. We find that the director vibration is related to the - usually small - anisotropy of the molecular distribution, thus providing a justification to the relative high ultrasonic intensities required to observe non-negligible acousto-optic responses.

Keywords

Liquid crystals (76A15)Anisotropy (74E10)Viscoelastic fluids (76A10)Hydroacoustics (76Q05)
Type
Papers
Information
European Journal of Applied Mathematics , Volume 26 , Issue 1 , February 2015 , pp. 93 - 107
Copyright
Copyright © Cambridge University Press 2014 

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