Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.125504
Keywords
-
Categories
Funding
- ERC [247328]
- NSF [DMR-1255370]
- National Science Foundation [NSF DMR-1055586]
- Sloan Foundation
- Major Research Instrumentation Grant, Office of Cyber Infrastructure [OCI-0960354]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1055586] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1255370] Funding Source: National Science Foundation
- European Research Council (ERC) [247328] Funding Source: European Research Council (ERC)
Ask authors/readers for more resources
Recent theoretical advances offer an exact, first-principles theory of jamming criticality in infinite dimension as well as universal scaling relations between critical exponents in all dimensions. For packings of frictionless spheres near the jamming transition, these advances predict that nontrivial power-law exponents characterize the critical distribution of (i) small interparticle gaps and (ii) weak contact forces, both of which are crucial for mechanical stability. The scaling of the interparticle gaps is known to be constant in all spatial dimensions d-including the physically relevant d-2 and 3, but the value of the weak force exponent remains the object of debate and confusion. Here, we resolve this ambiguity by numerical simulations. We construct isostatic jammed packings with extremely high accuracy, and introduce a simple criterion to separate the contribution of particles that give rise to localized buckling excitations, i.e., bucklers, from the others. This analysis reveals the remarkable dimensional robustness of mean-field marginality and its associated criticality.
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