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Multifractal current distribution in random-diode networks.

Haye Hinrichsen1, Olaf Stenull, Hans-Karl Janssen

  • 1Theoretische Physik, Fachbereich 8, Universität GH Wuppertal, 42097 Wuppertal, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2002
PubMed
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Electric currents in random diode networks exhibit multifractal behavior at critical points. Numerical simulations confirm theoretical predictions for current distribution scaling on directed percolation clusters.

Area of Science:

  • Complex systems
  • Statistical physics
  • Network science

Background:

  • Electric currents in random diode networks have been analytically shown to exhibit multifractal distributions.
  • Understanding these multifractal properties is crucial for complex systems analysis.

Purpose of the Study:

  • To numerically investigate the multifractal properties of random diode networks at the critical point.
  • To confirm field-theoretic predictions for the scaling behavior of current distribution moments.

Main Methods:

  • Numerical simulations of random diode networks.
  • Analysis of electric currents on a directed percolation cluster.
  • Verification of scaling behavior predictions.

Main Results:

Related Experiment Videos

  • Confirmed multifractal current distribution at the critical point.
  • Validated field-theoretic predictions for moment scaling behavior.
  • Demonstrated that random diode networks are suitable for directed percolation realization.

Conclusions:

  • Random diode networks display multifractal current distributions at criticality.
  • Numerical findings align with theoretical predictions for scaling laws.
  • These networks serve as promising experimental models for directed percolation phenomena.