Theory of cylindrical dense packings of disks
arXiv:1312.7429 · doi:10.1103/PhysRevE.89.042307
Abstract
We have previously explored cylindrical packings of disks and their relation to sphere packings. Here we extend the analytical treatment of disk packings, analysing the rules for phyllotactic indices of related structures and the variation of the density for line-slip structures, close to the symmetric ones. We show that rhombic structures, which are of a lower density, are always unstable i.e. can be increased in density by small perturbations
Cited by in corpus (15)
- Hard sphere packings within cylinders
- Close packing of rods on spherical surfaces
- Liquid crystals of hard rectangles on flat and cylindrical manifolds
- Plastic deformation of tubular crystals by dislocation glide
- Phyllotaxis, disk packing and Fibonacci numbers
- Simulation and observation of line-slip structures in columnar structures of soft spheres
- Theory of rotational columnar structures of soft spheres
- Columnar structures of soft spheres: Metastability and hysteresis
- Inherent Structure Landscape of Hard Spheres Confined to Narrow Cylindrical Channels
- Transitions between phyllotactic lattice states in curved geometries
- Geometric frustration of hard-disk packings on cones
- Shape multistability in flexible tubular crystals through interactions of mobile dislocations
- Controlled transitions between phyllotactic states of repulsive particles confined on the surface of a cylinder
- Defect-free and defective adaptations of crystalline sheets to stretching deformation
- Emergent dynamic stress regulators via coordinated thermal fluctuations and stress in harmonic crystalline lattices