3 papers
cond-mat.soft2024
Liquid Crystal Ground States on Cones with Anti-Twist Boundary Conditions
Cheng Long, David R. Nelson
Geometry and topology play a fundamental role in determining pattern formation on 2D surfaces in condensed matter physics. For example, local positive Gaussian curvature of a 2D su…
cond-mat.soft2024
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…
cond-mat.soft2023
Periodic orbits, pair nucleation, and unbinding of active nematic defects on cones
Farzan Vafa, David R. Nelson, Amin Doostmohammadi
Geometric confinement and topological constraints present promising means of controlling active materials. By combining analytical arguments derived from the Born-Oppenheimer appro…