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Order Reconstruction for Nematics on Squares and Regular Polygons: A Landau-de Gennes Study

Abstract:

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...

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Publication status:
Not Published
Peer review status:
Not peer reviewed
Version:
Author's Original

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Department:
Magdalen College
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Author
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Department:
Oxford, MPLS, Mathematical Institute
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Author
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Funding agency for:
Canevari, Giacomo
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Funding agency for:
Majumdar, Apala
Journal:
arXiv Journal website
Publication date:
2016-06-21
Pubs id:
pubs:659281
URN:
uri:0200ff02-e240-422f-a8c3-d32c5f15d34c
UUID:
uuid:0200ff02-e240-422f-a8c3-d32c5f15d34c
Local pid:
pubs:659281

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