Numerical results for the blue phases

We review recent numerical work investigating the equilibrium phase diagram, and the dynamics of the cholesteric blue phases. In equilibrium numerical results confirm the predictions of the classic analytical theories, and extend them to incorporate different values of the elastic constants, or the...

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Main Authors: Alexander, G, Yeomans, J
Format: Journal article
Language:English
Published: 2009
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author Alexander, G
Yeomans, J
author_facet Alexander, G
Yeomans, J
author_sort Alexander, G
collection OXFORD
description We review recent numerical work investigating the equilibrium phase diagram, and the dynamics of the cholesteric blue phases. In equilibrium numerical results confirm the predictions of the classic analytical theories, and extend them to incorporate different values of the elastic constants, or the effects of an applied electric field. There is a striking increase in the stability of blue phase I in systems where the cholesteric undergoes helical sense inversion, and the anomalous electrostriction observed in this phase is reproduced. Solving the equations of motion allows us to present results for the phase transition kinetics of blue phase I under dielectric or flexoelectric coupling to an applied electric field. We also present simulations of the blue phases in a flow field, showing how the disclination network acts to oppose the flow. The results are based on the Landau-de Gennes expansion of the liquid crystal free energy: that such a simple and elegant theory can predict such complex and subtle physical behaviour is remarkable. © 2009 Taylor and Francis.
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spelling oxford-uuid:7204a466-bf20-4ede-a975-0af02529ac0c2022-03-26T19:47:27ZNumerical results for the blue phasesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7204a466-bf20-4ede-a975-0af02529ac0cEnglishSymplectic Elements at Oxford2009Alexander, GYeomans, JWe review recent numerical work investigating the equilibrium phase diagram, and the dynamics of the cholesteric blue phases. In equilibrium numerical results confirm the predictions of the classic analytical theories, and extend them to incorporate different values of the elastic constants, or the effects of an applied electric field. There is a striking increase in the stability of blue phase I in systems where the cholesteric undergoes helical sense inversion, and the anomalous electrostriction observed in this phase is reproduced. Solving the equations of motion allows us to present results for the phase transition kinetics of blue phase I under dielectric or flexoelectric coupling to an applied electric field. We also present simulations of the blue phases in a flow field, showing how the disclination network acts to oppose the flow. The results are based on the Landau-de Gennes expansion of the liquid crystal free energy: that such a simple and elegant theory can predict such complex and subtle physical behaviour is remarkable. © 2009 Taylor and Francis.
spellingShingle Alexander, G
Yeomans, J
Numerical results for the blue phases
title Numerical results for the blue phases
title_full Numerical results for the blue phases
title_fullStr Numerical results for the blue phases
title_full_unstemmed Numerical results for the blue phases
title_short Numerical results for the blue phases
title_sort numerical results for the blue phases
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