@article{b0c83daddadb47289485b6ecb5bcf9d4,
title = "Universal Quake Statistics: From Compressed Nanocrystals to Earthquakes",
abstract = "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.",
author = "Uhl, {Jonathan T.} and Shivesh Pathak and Danijel Schorlemmer and Xin Liu and Ryan Swindeman and Brinkman, {Braden A W} and Michael LeBlanc and Georgios Tsekenis and Nir Friedman and Robert Behringer and Dmitry Denisov and Peter Schall and Xiaojun Gu and Wright, {Wendelin J.} and Todd Hufnagel and Andrew Jennings and Greer, {Julia R.} and Liaw, {P. K.} and Thorsten Becker and Georg Dresen and Dahmen, {Karin A.}",
note = "Funding Information: We thank Matthew Brinkman for creating Fig. 1. We thank Thomas Goebel for the data on rocks. We thank James Antonaglia, James Beadsworth, Yehuda Ben-Zion, Corey Fyock, Jordan Sickle, and Li Shu for helpful conversations. We acknowledge support from the US National Science Foundation (NSF) DMR 10-05209, DMS 10-69224 (KD), CAREER-award DMR-0748267, ONR Grant-No. N00014-09-1-0883 (JRG), DMR-1042734 (WW), DMR-1107838 (TCH), DMR-0231320, DMR-0909037, CMMI-0900271, CMMI-1100080 (PKL), SCEC, MGA, NSF PHY11-25915, the Kavli Institute for Theoretical Physics at UC Santa Barbara, and the Aspen Center for Physics. KD and PKL acknowledge support from the Department of Energy (DOE), Office of Fossil Energy, National Energy Technology Laboratory (NETL), DE-FE-0011194. PKL acknowledges support from the DOE/NETL (DE-FE-0008855) and the support of the U.S. Army Research Office project (W911NF-13-1-0438). Publisher Copyright: {\textcopyright} 2015, Nature Publishing Group. All rights reserved.",
year = "2015",
month = nov,
day = "17",
doi = "10.1038/srep16493",
language = "English (US)",
volume = "5",
journal = "Scientific reports",
issn = "2045-2322",
publisher = "Nature Publishing Group",
}