34 citations · 39 across the 5 of their papers we have counts for
9 papers · 1 filter
Tangent unit-vector fields: nonabelian homotopy invariants and the Dirichlet energy
A. Majumdar, J. M. Robbins, M. Zyskin
Let O be a closed geodesic polygon in S^2. Maps from O into S^2 are said to satisfy tangent boundary conditions if the edges of O are mapped into the geodesics which contain them.…
Liquid crystals and harmonic maps in polyhedral domains
A Majumdar, JM Robbins, M Zyskin
Unit-vector fields $\nvec$ on a convex polyhedron subject to tangent boundary conditions provide a simple model of nematic liquid crystals in prototype bistable displays. The e…
Homotopy classification of director fields on polyhedral domains with tangent and periodic boundary conditions, with applications to bi-stable post-aligned liquid crystal displays
M. Zyskin
We obtain complete topological classification of states of nematic liquid crystal in the geometry of periodic array of rectangular posts between two parallel slabs, with tangent or…
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…
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-…
Elastic energy for reflection-symmetric topologies
A. Majumdar, J. M. Robbins, M. Zyskin
Nematic liquid crystals in a polyhedral domain, a prototype for bistable displays, may be described by a unit-vector field subject to tangent boundary conditions. Here we consider…