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Related Experiment Video

Updated: Mar 30, 2026

$Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction$

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Universal Quake Statistics: From Compressed Nanocrystals to Earthquakes.

Jonathan T Uhl¹, Shivesh Pathak², Danijel Schorlemmer^3,4

¹Retired, Los Angeles, CA.

Scientific Reports

|November 18, 2015

Summary

Across diverse materials, from nanocrystals to earthquakes, deformation exhibits universal scaling laws. This suggests a "tuned critical" behavior, not self-organized criticality, with stress-tunable slip size distributions.

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Last Updated: Mar 30, 2026

$Stress Distribution During Cold Compression of Rocks and Mineral Aggregates Using Synchrotron-based X-Ray Diffraction$

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Published on: May 20, 2018

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$Characterization of Ultra-fine Grained and Nanocrystalline Materials Using Transmission Kikuchi Diffraction$

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Published on: April 1, 2017

Area of Science:

Materials Science
Geophysics
Statistical Physics

Background:

Many natural and engineered systems, including crystals, metallic glasses, rocks, and granular materials, deform through intermittent slips or

Purpose of the Study:

To investigate the universal scaling behavior of slip size distributions across a wide range of materials and length scales.
To determine if this behavior aligns with self-organized criticality (SOC) or a stress-tuned critical state.
To develop a model explaining the observed phenomena and enabling cross-scale predictions.

Main Methods:

Comparative analysis of slip size distributions and statistical properties across systems spanning 12 orders of magnitude in length scale.
Mathematical modeling using a mean-field approach for avalanches of slipping weak spots.

Main Results:

Identified identical scaling behavior, specifically a power law with an exponential cutoff, in slip size distributions across diverse materials.
Observed that the cutoff size is tunable with applied stress, indicating a "tuned critical" state, not SOC.
A mean-field model successfully predicted the observed distributions and stress-dependent cutoff.

Conclusions:

Deformation in systems from nanocrystals to earthquakes shares fundamental statistical properties.
The observed phenomena are best described by a stress-tuned critical behavior.
The findings allow for predictions of material behavior across different scales and applied forces.