New jamming scenario: From marginal jamming to deep jamming
Cang Zhao, Kaiwen Tian, Ning Xu

TL;DR
This paper investigates the transition from marginal to deep jamming in frictionless sphere packings, revealing structural and vibrational differences that define a new class of amorphous solids.
Contribution
It identifies a crossover volume fraction and characterizes the distinct properties of deeply jammed solids compared to marginally jammed ones.
Findings
Different scaling laws in deeply jammed solids
Structural changes in pair distribution functions
Anomalies in vibrational modes and density of states
Abstract
We study properties of jammed packings of frictionless spheres over a wide range of volume fractions. There exists a crossover volume fraction which separates deeply jammed solids from marginally jammed solids. In deeply jammed solids, all the scalings presented in marginally jammed solids are replaced with remarkably different ones with potential independent exponents. Correspondingly, there are structural changes in the pair distribution function associated with the crossover. The normal modes of vibration of deeply jammed solids also exhibit some anomalies, e.g. strengthened quasi-localization and absence of Debye-like density of states at low frequencies. Deeply jammed systems may thus be cataloged to a new class of amorphous solids.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
