29 citations · 97 across the 7 of their papers we have counts for
7 papers
Escape into the Third Dimension in Cholesteric Liquid Crystals
Joseph Pollard, Gareth P. Alexander
Integer winding disclinations are unstable in a nematic and are removed by an `escape into the third dimension', resulting in a non-singular texture. This process is frustrated in…
Contact Topology and the Classification of Disclination Lines in Cholesteric Liquid Crystals
Joseph Pollard, Gareth P. Alexander
We give a topological classification of defect lines in cholesteric liquid crystals using methods from contact topology. By focusing on the role played by the chirality of the mate…
Yielding, shear banding and brittle failure of amorphous materials
Joseph Pollard, Suzanne M Fielding
Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state then yields plastically. Major unresolved…
Intrinsic Geometry and Director Reconstruction for Three-Dimensional Liquid Crystals
Joseph Pollard, Gareth P. Alexander
We give a description of the intrinsic geometry of elastic distortions in three-dimensional nematic liquid crystals and establish necessary and sufficient conditions for a set of f…
Geometry of Bend: Singular Lines and Defects in Twist-Bend Nematics
Jack Binysh, Joseph Pollard, Gareth P. Alexander
We describe the geometry of bend distortions in twist-bend nematic liquid crystals in terms of their fundamental degeneracies, which we call lines. These represent a new class…
Singular Contact Geometry and Beltrami Fields in Cholesteric Liquid Crystals
Joseph Pollard, Gareth P. Alexander
The description of point defects in chiral liquid crystals via topological methods requires the introduction of singular contact structures, a generalisation of regular contact str…