most citedHomotopy classification of director fields on polyhedral domains with tangent and periodic boundary conditions, with applications to bi-stable post-aligned liquid crystal displays

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2009

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.…

math-ph2009

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…

math-ph2009★ 1 cited

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…