2020/01/01 by Dan Liu, Gerhard Müller · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Channel (broadcasting) #Classical mechanics #Condensed matter physics #Configuration entropy #Engineering #Entropy (arrow of time) #Geometry #Jamming #Material Dynamics and Properties #Mathematics #Mechanics #Physics #Plane (geometry) #Point (geometry) #Statistical Mechanics and Entropy #Statistical physics #Telecommunications #Theoretical and Computational Physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1007/978-3-030-55973-1_48
published in Springer proceedings in physics, 389-395 (Springer Nature) · 6 pages, 1 figure
openalex publication_date 2020/01/01 · arxiv created 2020/11/19 · arxiv updated 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A granular-matter model is exactly solved, where disks of two sizes and weights in alternating sequence are confined to a narrow channel. The axis of the channel is horizontal and its plane vertical. Disk sizes and channel width are such that under jamming no disks remain loose and all disks touch one wall. Jammed microstates are characterized via statistically interacting particles constructed out of two-disk tiles. Jammed macrostates depend on measures of expansion work, gravitational potential energy, and intensity of random agitations before jamming. The dependence of configurational entropy on excess volume exhibits a critical point.