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Threshold-induced correlations in the Random Field Ising Model.

Sanja Janićević1, Dragutin Jovković1, Lasse Laurson2,3

  • 1Faculty of Physics, University of Belgrade, POB 368, 11001, Belgrade, Serbia.

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|February 9, 2018
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Summary
This summary is machine-generated.

Correlations in crackling noise events appear when analyzing subavalanches using a finite threshold. These waiting time correlations persist even in uncorrelated avalanche systems.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • The nonequilibrium zero-temperature Random Field Ising model exhibits critical behavior via intermittent avalanches.
  • Avalanches in this system display scale-invariant properties and power-law distributions.

Purpose of the Study:

  • To investigate correlations in the occurrence times of consecutive crackling noise events.
  • To understand the emergence of these correlations through signal thresholding.

Main Methods:

  • Numerical simulations of the three-dimensional Random Field Ising model.
  • Scaling analysis and data collapse techniques.
  • Definition and analysis of subavalanches via finite thresholding.

Main Results:

  • Correlations in event occurrence times were observed.
  • These correlations manifest as power-law distributed waiting times.
  • Correlations emerge specifically when defining subavalanches through thresholding.

Conclusions:

  • The study reveals emergent correlations in crackling noise event timing.
  • These correlations are a consequence of the subavalanche definition, not inherent randomness.
  • Findings provide insights into the complex dynamics of critical systems.