Jammed lattice sphere packings
arXiv:1310.5971 · doi:10.1103/PhysRevE.88.062151
Abstract
We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a single sphere until the point of mechanical stability. We present detailed numerical data about the densities, pair correlations, force distributions, and structure factors of such lattices. We show that this model retains many of the crucial structural features of the classical hard-sphere model and propose it as a model for the jamming and glass transitions that enables exploration of much higher dimensions than are usually accessible.
8 pages, 2 tables, 8 figures, final submitted manuscript
References in corpus (16)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
- Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
- Jamming versus Glass Transitions
- Universal microstructure and mechanical stability of jammed packings
- Exact theory of dense amorphous hard spheres in high dimension. I. The free energy
- Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
- Dimensional Study of the Caging Order Parameter at the Glass Transition
- Glass transition of hard spheres in high dimensions
- Non-Universality of Density and Disorder in Jammed Sphere Packings
- A Lattice Model for Colloidal Gels and Glasses
- On the most compact regular lattice in large dimensions: A statistical mechanical approach
- Statistical mechanics of the lattice sphere packing problem
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
- An Efficient Linear Programming Algorithm to Generate the Densest Lattice Sphere Packings
Cited by in corpus (6)
- Marginal Stability in Structural, Spin and Electron Glasses
- Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution
- Basic Understanding of Condensed Phases of Matter via Packing Models
- Marginal stability in jammed packings: quasicontacts and weak contacts
- Scaling collapse at the jamming transition
- Mean-field description of plastic flow in amorphous solids