4 papers
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…
Three-Dimensional Active Defect Loops
Jack Binysh, Žiga Kos, Simon Čopar +2
We describe the flows and morphological dynamics of topological defect lines and loops in three-dimensional active nematics and show, using theory and numerical modelling, that the…
Stable and Unstable Vortex Knots in Excitable Media
Jack Binysh, Carl A. Whitfield, Gareth P. Alexander
We study the dynamics of knotted vortices in a bulk excitable medium using the FitzHugh-Nagumo model. From a systematic survey of all knots of at most eight crossings we establish…
Maxwell's Theory of Solid Angle and the Construction of Knotted Fields
Jack Binysh, Gareth P. Alexander
We provide a systematic description of the solid angle function as a means of constructing a knotted field for any curve or link in . This is a purely geometric const…