We have recently published a paper on packing spheres on the surface of a cylinder. The last twenty years has seen a flurry of activity understanding crystallization on surfaces with Gaussian curvature, especially a sphere and, more recently, the catenoid. On such surfaces, the Gaussian curvature acts as to disturb the orientation of the crystals, […]
Research
Description of latest research
James Hanna starts as assistant professor at Virginia Tech
New paper: Goldstone modes and the small deformation of shells
In condensed-matter physics, a Nambu-Goldstone mode is a particular low energy deformation of an ordered phase arising from a symmetry of the ground state. Examples are acoustic phonons and spin waves. In this paper, I use the fact that an isometry is a symmetry of the stretching energy of a shell to derive a set […]