Document Type
Article
Date of Original Version
2025
Department
Physics
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.
Publication Title, e.g., Journal
EPJ Web of Conferences
Volume
334
Citation/Publisher Attribution
Liu, D., Karbach, M., & Müller, G. (2025). Ordering According to Size of Disks in a Narrow Channel. EPJ Web Conf., 334, 01003. https://doi.org/10.1051/epjconf/202533401003
Available at: https://doi.org/10.1051/epjconf/202533401003
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.