Ordering According to Size of Disks in a Narrow Channel

Abstract

A long and narrow channel confines disks of two sizes. The disks are randomly agitated in a widened channel under moderate pressure, then jammed according to a tunable protocol. We present exact results that characterize jammed macrostates (volume, entropy, jamming patterns). The analysis divides jammed disk sequences into overlapping tiles out of which statistically interacting quasiparticles are constructed. The fractions of small and large disks are controlled by a chemical potential adapted to configurational statistics of granular matter. The results show regimes for the energy parameters (determined by the jamming protocol) that either enhance or suppress the mixing of disk sizes. Size segregation or size alternation driven by steric forces alone are manifestations of a broken symmetry.

arXiv comment8 pages, 1 figure, 3 tables. arXiv admin note: substantial text overlap with arXiv:2507.05420

References in corpus (7)

• The Complete Jamming Landscape of Confined Hard Discs
• Edwards entropy and compactivity in a model of granular matter
• Landscapes, dynamic heterogeneity and kinetic facilitation in a simple off-lattice model
• Generalized Pauli principle for particles with distinguishable traits
• Jammed disks in narrow channel: criticality and ordering tendencies
• Disks in a narrow channel jammed by gravity and centrifuge: profiles of pressure, mass density and entropy density
• Jammed disks of two sizes and weights in a channel: Alternating sequences