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Abstract
This review article is a consolidated but not exhaustive account of recent modelling and numerical work on nematic-filled square or cuboid shaped wells with planar degenerate boundary conditions. This seemingly simple geometry can be modelled with a simplistic Oseen–Frank approach or a more sophisticated two-dimensional and three-dimensional Landau–de Gennes approach. We discuss these approaches, reconcile the findings and in doing so, elucidate the complex interplay between material properties, temperature, geometry and boundary conditions in both equilibrium and non-equilibrium phenomena. We largely focus on static equilibria with some discussion on metastable or transient states of experimental relevance.
Original language | English |
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Pages (from-to) | 2332-2351 |
Number of pages | 20 |
Journal | Liquid Crystals |
Volume | 43 |
Issue number | 13-15 |
Early online date | 16 Nov 2016 |
DOIs | |
Publication status | Published - 2016 |
Keywords
- Landau–de Gennes
- Modelling
- multistability
- Oseen–Frank
- well order reconstruction solution
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Dive into the research topics of 'Multistable nematic wells: modelling perspectives, recent results and new directions'. Together they form a unique fingerprint.Projects
- 1 Finished
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Fellowship - The Mathematics of Liquid Crystals: Analysis, Computation and Applications
Majumdar, A. (PI)
Engineering and Physical Sciences Research Council
1/08/12 → 30/09/16
Project: Research council