期刊
PHYSICAL REVIEW LETTERS
卷 109, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.125502
关键词
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资金
- Sloan Fellowship, NSF [DMR-1105387]
- Petroleum Research Fund [52031-DNI9]
- MRSEC Program of the National Science Foundation [DMR-0820341]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1105387] Funding Source: National Science Foundation
The requirement that packings of frictionless hard spheres, arguably the simplest structural glass, cannot be compressed by rearranging their network of contacts is shown to yield a new constraint on their microscopic structure. This constraint takes the form a bound between the distribution of contact forces P(f) and the pair distribution function g(r): if P(f) similar to f(theta) and g(r) similar to (r - sigma(0))(-gamma), where sigma(0) is the particle diameter, one finds that gamma >= 1/(2 + theta). This bound plays a role similar to those found in some glassy materials with long-range interactions, such as the Coulomb gap in Anderson insulators or the distribution of local fields in mean-field spin glasses. There are grounds to believe that this bound is saturated, yielding a mechanism to explain the avalanches of rearrangements with power-law statistics that govern plastic flow in packings.
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