Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases

We present a lattice Boltzmann algorithm to solve the Beris-Edwards equations of motion for a cholesteric liquid crystal. We use our algorithm to investigate permeative flow. We find that, for helices pinned at the boundary, a small body force leads to a huge viscosity increase whereas larger ones i...

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Main Authors: Marenduzzo, D, Dupuis, A, Yeomans, J, Orlandini, E
Format: Conference item
Published: 2005
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author Marenduzzo, D
Dupuis, A
Yeomans, J
Orlandini, E
author_facet Marenduzzo, D
Dupuis, A
Yeomans, J
Orlandini, E
author_sort Marenduzzo, D
collection OXFORD
description We present a lattice Boltzmann algorithm to solve the Beris-Edwards equations of motion for a cholesteric liquid crystal. We use our algorithm to investigate permeative flow. We find that, for helices pinned at the boundary, a small body force leads to a huge viscosity increase whereas larger ones induce no increase. This shear thinning is in agreement with experiments. If instead, the helix lies perpendicular to the plates, there is almost no viscosity increase. For strong forcing, we identify a flow-induced double twist in the director field. We compare this texture with the static double twist of cubic blue phases.
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spelling oxford-uuid:348ca364-5404-4e8b-a073-dfc8ccb0bd602022-03-26T13:26:37ZLattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phasesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:348ca364-5404-4e8b-a073-dfc8ccb0bd60Symplectic Elements at Oxford2005Marenduzzo, DDupuis, AYeomans, JOrlandini, EWe present a lattice Boltzmann algorithm to solve the Beris-Edwards equations of motion for a cholesteric liquid crystal. We use our algorithm to investigate permeative flow. We find that, for helices pinned at the boundary, a small body force leads to a huge viscosity increase whereas larger ones induce no increase. This shear thinning is in agreement with experiments. If instead, the helix lies perpendicular to the plates, there is almost no viscosity increase. For strong forcing, we identify a flow-induced double twist in the director field. We compare this texture with the static double twist of cubic blue phases.
spellingShingle Marenduzzo, D
Dupuis, A
Yeomans, J
Orlandini, E
Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases
title Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases
title_full Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases
title_fullStr Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases
title_full_unstemmed Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases
title_short Lattice Boltzmann simulations of cholesteric liquid crystals: Permeative flows, doubly twisted textures and cubic blue phases
title_sort lattice boltzmann simulations of cholesteric liquid crystals permeative flows doubly twisted textures and cubic blue phases
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AT dupuisa latticeboltzmannsimulationsofcholestericliquidcrystalspermeativeflowsdoublytwistedtexturesandcubicbluephases
AT yeomansj latticeboltzmannsimulationsofcholestericliquidcrystalspermeativeflowsdoublytwistedtexturesandcubicbluephases
AT orlandinie latticeboltzmannsimulationsofcholestericliquidcrystalspermeativeflowsdoublytwistedtexturesandcubicbluephases