Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Jerky Motion in Slowly Driven Magnetic and Earthquake Fault Systems, Physics of

  • Karin A. Dahmen
  • Yehuda Ben-Zion
Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_299-3

Definition of the Subject

Observations indicate that earthquakes and avalanches in magnetic systems (Barkhausen noise) exhibit broad regimes of power law size distributions and related scale-invariant quantities. We review results of simple models for earthquakes in heterogeneous fault zones and avalanches in magnets that belong to the same universality class and hence have many similarities. The studies highlight the roles of tuning parameters, associated with dynamic effects and property disorder, and the existence of several general dynamic regimes. The models suggest that changes in the values of the tuning parameters can modify the frequency size event statistics from a broad power law regime to a distribution of small events combined with characteristic system-size events (characteristic distribution). In a certain parameter range, the earthquake model exhibits mode switching between both distributions. The properties of individual events undergo corresponding changes in...


Mode Switching Stress Pulse Moment Rate Earthquake Model Failure Threshold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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We thank Daniel S. Fisher, James R. Rice, James P. Sethna, Michael B. Weissman, Deniz Ertas, Matthias Holschneider, Amit Mehta, Gert Zöller, and many others for the very helpful discussions. K.D. acknowledges support from the National Science Foundation, the NSF-funded Materials Computation Center, and IBM. YBZ acknowledges support from the National Science Foundation, the United States Geological Survey, and the Southern California Earthquake Center.


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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Department of Earth SciencesUniversity of Southern CaliforniaLos AngelesUSA