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Related Experiment Videos

1/f noise and extreme value statistics.

T Antal1, M Droz, G Györgyi

  • 1Département de Physique Théorique, Université de Genève, CH 1211 Genève 4, Switzerland.

Physical Review Letters
|December 12, 2001
PubMed
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This study reveals the Fisher-Tippett-Gumbel distribution as a key scaling function for Gaussian 1/f noise roughness. This finding holds for periodic systems and approximates nonperiodic cases, validated by GaAs film experiments.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Systems exhibiting Gaussian 1/f power spectra are common in nature.
  • Understanding finite-size scaling is crucial for characterizing signal roughness in these systems.
  • Extreme value distributions play a role in describing signal behavior.

Purpose of the Study:

  • To investigate the finite-size scaling of signal roughness in systems with Gaussian 1/f power spectra.
  • To identify the appropriate scaling function for signal roughness under periodic boundary conditions.
  • To assess the applicability of this scaling function to nonperiodic boundary conditions and experimental data.

Main Methods:

  • Theoretical analysis of finite-size scaling for Gaussian 1/f noise.

Related Experiment Videos

  • Identification of extreme value distributions as potential scaling functions.
  • Numerical simulations to test the scaling function under periodic and nonperiodic boundary conditions.
  • Experimental analysis of voltage fluctuations in Gallium Arsenide (GaAs) films.

    • Main Results:

    • The Fisher-Tippett-Gumbel (FTG) distribution emerges as the scaling function for signal roughness under periodic boundary conditions.
    • The FTG distribution provides a good approximation for signal roughness even with nonperiodic boundary conditions.
    • Simulations confirm the theoretical predictions.
    • Experimental data from GaAs films show excellent agreement with the FTG scaling theory.

    Conclusions:

    • The Fisher-Tippett-Gumbel distribution is a robust scaling function for the roughness of signals with Gaussian 1/f power spectra.
    • The findings have implications for understanding noise phenomena in various physical systems, including semiconductor devices.
    • The study bridges theoretical predictions with experimental validation, offering a comprehensive view of 1/f noise scaling behavior.