17 research outputs found
The Geometry of the Cholesteric Phase
We propose a construction of a cholesteric pitch axis for an arbitrary
nematic director field as an eigenvalue problem. Our definition leads to a
Frenet-Serret description of an orthonormal triad determined by this axis, the
director, and the mutually perpendicular direction. With this tool we are able
to compare defect structures in cholesterics, biaxial nematics, and smectics.
Though they all have similar ground state manifolds, the defect structures are
different and cannot be, in general, translated from one phase to the other.Comment: 5 pages, the full catastroph
Geometry of the cholesteric phase
We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret description of an orthonormal triad determined by this axis, the director, and the mutually perpendicular direction. With this tool, we are able to compare defect structures in cholesterics, biaxial nematics, and smectics. Though they all have similar ground state manifolds, the defect structures are different and cannot, in general, be translated from one phase to the other