Remarks on the Q-tensor model for equilibrium liquid crystal configurations

We study minimizers of the Landau-De Gennes energy functional for liquid crystals in the biaxial and uniaxial cases. We derive the corresponding equilibrium equations and make predictions about the equilibrium order parameters. This, in turn, gives qualitative insight into the structure of the minim...

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Main Authors: Ball, J, Majumdar, A
Format: Conference item
Published: 2007
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author Ball, J
Majumdar, A
author_facet Ball, J
Majumdar, A
author_sort Ball, J
collection OXFORD
description We study minimizers of the Landau-De Gennes energy functional for liquid crystals in the biaxial and uniaxial cases. We derive the corresponding equilibrium equations and make predictions about the equilibrium order parameters. This, in turn, gives qualitative insight into the structure of the minimizers and can also be used in the numerical analysis of liquid crystal configurations in confined geometries.
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spelling oxford-uuid:e24b8dc4-1f0b-47cf-84e8-1651955778772022-03-27T10:00:08ZRemarks on the Q-tensor model for equilibrium liquid crystal configurationsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:e24b8dc4-1f0b-47cf-84e8-165195577877Symplectic Elements at Oxford2007Ball, JMajumdar, AWe study minimizers of the Landau-De Gennes energy functional for liquid crystals in the biaxial and uniaxial cases. We derive the corresponding equilibrium equations and make predictions about the equilibrium order parameters. This, in turn, gives qualitative insight into the structure of the minimizers and can also be used in the numerical analysis of liquid crystal configurations in confined geometries.
spellingShingle Ball, J
Majumdar, A
Remarks on the Q-tensor model for equilibrium liquid crystal configurations
title Remarks on the Q-tensor model for equilibrium liquid crystal configurations
title_full Remarks on the Q-tensor model for equilibrium liquid crystal configurations
title_fullStr Remarks on the Q-tensor model for equilibrium liquid crystal configurations
title_full_unstemmed Remarks on the Q-tensor model for equilibrium liquid crystal configurations
title_short Remarks on the Q-tensor model for equilibrium liquid crystal configurations
title_sort remarks on the q tensor model for equilibrium liquid crystal configurations
work_keys_str_mv AT ballj remarksontheqtensormodelforequilibriumliquidcrystalconfigurations
AT majumdara remarksontheqtensormodelforequilibriumliquidcrystalconfigurations