317 citations · 430 across the 13 of their papers we have counts for
5 papers · 1 filter
Defect ground states for liquid crystals on cones and hyperbolic cones
Farzan Vafa, Grace H. Zhang, David R. Nelson
This contribution is intended for Journal of Physics A: Mathematical and Theoretical Special issue on Non-equilibrium Dynamics in Complex Systems: Celebrating the Contributions of…
Geometric frustration of hard-disk packings on cones
Jessica H. Sun, Abigail Plummer, Grace H. Zhang +2
Conical surfaces pose an interesting challenge to crystal growth: a crystal growing on a cone can wrap around and meet itself at different radii. We use a disk-packing algorithm to…
Defect absorption and emission for -atic liquid crystals on cones
Farzan Vafa, Grace H. Zhang, David R. Nelson
We investigate the ground state configurations of -atic liquid crystals on fixed curved surfaces. We focus on the intrinsic geometry and show that isothermal coordinates are par…
Fractional defect charges in -atic liquid crystals on cones
Grace H. Zhang, David R. Nelson
Conical surfaces, with a delta function of Gaussian curvature at the apex, are perhaps the simplest example of geometric frustration. We study two-dimensional liquid crystals with…
Phonon eigenfunctions of inhomogeneous lattices: Can you hear the shape of a cone?
Grace H. Zhang, David R. Nelson
We study the phonon modes of interacting particles on the surface of a truncated cone resting on a plane subject to gravity, inspired by recent colloidal experiments. We derive the…