Jammed disks of two sizes and weights in a channel: Alternating sequences
arXiv:2111.12135 · doi:10.1103/PhysRevE.105.024904
Abstract
Disks of two sizes and weights in alternating sequence are confined to a long and narrow channel. The axis of the channel is horizontal and its plane vertical. The channel is closed off by pistons that freeze jammed microstates out of loose disk configurations subject to moderate pressure, gravity, and random agitations. Disk sizes and channel width are such that under jamming no disk remains loose and all disks touch one wall. We present exact results for the characterization of jammed macrostates including volume and entropy. The rigorous analysis divides the disk sequences of jammed microstates into overlapping tiles from which we construct a small number of species of statistically interacting particles. Jammed macrostates depend on dimensionless control parameters inferred from ratios between measures of expansion work against the pistons, gravitational potential energy, and intensity of random agitations. These control parameters enter the configurational statistics via the activation energies prior to jamming of the particles. The range of disk weights naturally divides into regimes where qualitatively different features come into play. We sketch a path toward generalizations that include random sequences under a modified jamming protocol.
13 pages, 15 figures, 8 tables
References in corpus (17)
- The Jamming Transition in Granular Systems
- Packing Hyperspheres in High-Dimensional Euclidean Spaces
- Universal microstructure and mechanical stability of jammed packings
- Understanding the Frequency Distribution of Mechanically Stable Disk Packings
- Do Binary Hard Disks Exhibit an Ideal Glass Transition?
- Phase transition in a static granular system
- Tuning Jammed Frictionless Disk Packings from Isostatic to Hyperstatic
- Critical scaling and aging in cooling systems near the jamming transition
- Thermodynamics of ideal quantum gas with fractional statistics in D dimensions
- Application of Edwards' statistical mechanics to high dimensional jammed sphere packings
- Thermodynamics of statistically interacting quantum gas in D dimensions
- Jammed disks in narrow channel: criticality and ordering tendencies
- Coil-helix transition of polypeptide at water-lipid interface
- Statistically interacting quasiparticles in Ising chains
- Dynamical diversity and metastability in a hindered granular column near jamming
- The effects of grain shape and frustration in a granular column near jamming
- Molecular chains under tension: Thermal and mechanical activation of statistically interacting extension and contraction particles