4.7 Article

Universal fluctuations and extreme statistics of avalanches near the depinning transition

Journal

PHYSICAL REVIEW E
Volume 87, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.87.022126

Keywords

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Funding

  1. National Science Foundation [DMS-1069224, DMR-1005209]
  2. Center of Excellence for Physics of Geological Processes
  3. Direct For Mathematical & Physical Scien
  4. Division Of Materials Research [1005209] Funding Source: National Science Foundation
  5. Division Of Mathematical Sciences
  6. Direct For Mathematical & Physical Scien [1069224] Funding Source: National Science Foundation

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We derive exact predictions for universal scaling exponents and scaling functions associated with the statistics of maximum velocities v(m) during avalanches described by the mean-field theory of the interface depinning transition. In particular, we find a robust power-law regime in the statistics of maximum events that can explain the observed distribution of the peak amplitudes in acoustic emission experiments of crystal plasticity. Our results are expected to be broadly applicable to a broad range of systems in the mean-field interface depinning universality class, ranging from magnets to earthquakes. DOI: 10.1103/PhysRevE.87.022126

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