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Showing 2006 · math-phShow all
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math-ph2006★ 34 cited
Topology and Bistability in liquid crystal devices
A. Majumdar, C. J. P. Newton, J. M. R. Robbins +1
We study nematic liquid crystal configurations in a prototype bistable device - the Post Aligned Bistable Nematic (PABN) cell. Working within the Oseen-Frank continuum model, we de…
math-ph2006★ 4 cited
Energies of S^2-valued harmonic maps on polyhedra with tangent boundary conditions
A Majumdar, JM Robbins, M Zyskin
A unit-vector field n:P \to S^2 on a convex polyhedron P \subset R^3 satisfies tangent boundary conditions if, on each face of P, n takes values tangent to that face. Tangent unit-…