- Abstract:
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We construct an order reconstruction (OR)-type Landau-de Gennes critical point on a square domain of edge length $\lambda$, motivated by the well order reconstruction solution numerically reported by Kralj and Majumdar. The OR critical point is distinguished by an uniaxial cross with negative scalar order parameter along the square diagonals. The OR critical point is defined in terms of a saddle-type critical point of an associated scalar variational problem. The OR-type critical point is glo...
Expand abstract - Publication status:
- Not Published
- Peer review status:
- Not peer reviewed
- Version:
- Author's Original
- Files:
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(pdf, 787.8KB)
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- Funding agency for:
- Majumdar, Apala
- Funding agency for:
- Spicer, A
- Journal:
- arXiv Journal website
- Publication date:
- 2016-06-21
- Pubs id:
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pubs:659281
- URN:
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uri:0200ff02-e240-422f-a8c3-d32c5f15d34c
- UUID:
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uuid:0200ff02-e240-422f-a8c3-d32c5f15d34c
- Local pid:
- pubs:659281
- Keywords:
- Copyright date:
- 2016
- Notes:
- Pre-print available on arXiv, see: https://arxiv.org/abs/1606.06575v1
Journal article
Order Reconstruction for Nematics on Squares and Regular Polygons: A Landau-de Gennes Study
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+ Engineering and Physical Sciences Research Council
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+ Engineering and Physical Sciences Research Council
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