3 citations · 4 across the 4 of their papers we have counts for
5 papers · 1 filter
Good Fibrations: Packing Rules for Diabolic Domains
Randall D. Kamien, Thomas Machon
We describe a theory of packing hyperboloid 'diabolic' domains in bend-free textures of liquid crystals. The domains sew together continuously, providing a menagerie of bend-free t…
A Björling Representation for Jacobi Fields on Minimal Surfaces and Soap Film Instabilities
Gareth P. Alexander, Thomas Machon
We develop a general framework for the description of instabilities on soap films using the Björling representation of minimal surfaces. The construction is naturally geometric and…
Aspects of Defect Topology in Smectic Liquid Crystals
Thomas Machon, Hillel Aharoni, Yichen Hu +1
We study the topology of smectic defects in two and three dimensions. We give a topological classification of smectic point defects and disclination lines in three dimensions. In a…
Woven Nematic Defects, Skyrmions and the Abelian Sandpile Model
Thomas Machon, Gareth P. Alexander
We show that a fixed set of woven defect lines in a nematic liquid crystal supports a set of non-singular topological states which can be mapped on to recurrent stable configuratio…
Global Defect Topology in Nematic Liquid Crystals
Thomas Machon, Gareth P. Alexander
We give the global homotopy classification of nematic textures for a general domain with weak anchoring boundary conditions and arbitrary defect set in terms of twisted cohomology,…