Journal
PHYSICAL REVIEW LETTERS
Volume 117, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.117.045503
Keywords
-
Categories
Funding
- Major Research Instrumentation Grant, Office of Cyber Infrastructure [OCI-0960354]
- National Science Foundation [DMR-1055586, DMR-1255370]
- Sloan Foundation
- Simons Foundation [454937, 454939, 454949, 454955]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1055586, 1255370] Funding Source: National Science Foundation
Ask authors/readers for more resources
At the jamming transition, amorphous packings are known to display anomalous vibrational modes with a density of states (DOS) that remains constant at low frequency. The scaling of the DOS at higher packing fractions remains, however, unclear. One might expect to find a simple Debye scaling, but recent results from effective medium theory and the exact solution of mean-field models both predict an anomalous, non-Debye scaling. Being mean-field in nature, however, these solutions are only strictly valid in the limit of infinite spatial dimension, and it is unclear what value they have for finite-dimensional systems. Here, we study packings of soft spheres in dimensions 3 through 7 and find, away from jamming, a universal non-Debye scaling of the DOS that is consistent with the mean-field predictions. We also consider how the soft mode participation ratio evolves as dimension increases.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available