期刊
SCIENTIFIC REPORTS
卷 5, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/srep16493
关键词
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资金
- US National Science Foundation (NSF) [DMR 10-05209, DMS 10-69224]
- CAREER [DMR-0748267]
- ONR [N00014-09-1-0883, DMR-1042734, DMR-1107838, DMR-0231320, DMR-0909037, CMMI-0900271, CMMI-1100080]
- SCEC
- MGA
- NSF [PHY11-25915]
- Kavli Institute for Theoretical Physics at UC Santa Barbara
- Aspen Center for Physics
- Department of Energy (DOE), Office of Fossil Energy, National Energy Technology Laboratory (NETL) [DE-FE-0011194]
- DOE/NETL [DE-FE-0008855]
- U.S. Army Research Office project [W911NF-13-1-0438]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1206351] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1107838, 1005209, 1042734] Funding Source: National Science Foundation
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1100080] Funding Source: National Science Foundation
Slowly-compressed single crystals, bulk metallic glasses (BMGs), rocks, granular materials, and the earth all deform via intermittent slips or quakes. We find that although these systems span 12 decades in length scale, they all show the same scaling behavior for their slip size distributions and other statistical properties. Remarkably, the size distributions follow the same power law multiplied with the same exponential cutoff. The cutoff grows with applied force for materials spanning length scales from nanometers to kilometers. The tuneability of the cutoff with stress reflects tuned critical behavior, rather than self-organized criticality (SOC), which would imply stress-independence. A simple mean field model for avalanches of slipping weak spots explains the agreement across scales. It predicts the observed slip-size distributions and the observed stress-dependent cutoff function. The results enable extrapolations from one scale to another, and from one force to another, across different materials and structures, from nanocrystals to earthquakes.
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