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Hysteresis-induced long-time tails.

Günter Radons1

  • 1Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany. radons@physik.tu-chemnitz.de

Physical Review Letters
|July 23, 2008
PubMed
Summary
This summary is machine-generated.

The Preisach model for hysteresis shows long-time tails, predicting 1/f noise in many systems. Universality classes explain the algebraic decay of output correlations for complex, nonlocal hysteresis.

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Area of Science:

  • Physics
  • Materials Science
  • Nonlinear Dynamics

Background:

  • Hysteresis is a complex phenomenon observed in various physical systems.
  • The Preisach model is a standard approach for describing nonlocal hysteresis.
  • Understanding the long-time behavior of hysteretic systems is crucial for predicting their dynamics.

Purpose of the Study:

  • To analytically investigate the output characteristics of the Preisach model.
  • To determine the conditions under which long-time tails emerge.
  • To identify universality classes related to correlation decay and predict 1/f noise.

Main Methods:

  • Analytical derivation of output correlation functions.
  • Analysis of the Preisach model under general conditions.
  • Identification of universality classes based on input signal and Preisach density tails.

Main Results:

  • The Preisach model exhibits long-time tails under general conditions.
  • Output correlation decay follows an algebraic law determined by input and model density tails.
  • Universality classes with identical algebraic tails are identified.

Conclusions:

  • The study predicts the occurrence of 1/f noise in a broad range of hysteretic systems.
  • The findings offer a theoretical framework for understanding noise in complex systems.
  • The identified universality classes provide insights into the fundamental behavior of hysteresis.