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Energy escape from disordered nonlinear oscillators is studied numerically. Fractal disorder leads to stretched exponential decay, with evidence of energy trapping at low temperatures, suggesting classical many-body localization.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Understanding energy transport in disordered systems is crucial for various physical phenomena.
  • Nonlinear oscillators exhibit complex dynamics that can be influenced by disorder.
  • Previous studies have explored energy localization but often under different disorder models.

Purpose of the Study:

  • To numerically investigate the dynamics of energy escape from a disordered chain of nonlinear oscillators.
  • To analyze the effect of fractal disorder patterns on energy decay at the injection site.
  • To explore the possibility of energy trapping and classical many-body localization at low temperatures.

Main Methods:

  • Numerical simulations were employed to model the energy dynamics.
  • The disorder in the oscillator chain was characterized by a fractal pattern.
  • Energy decay at the injection site was analyzed using stretched exponential fitting.

Main Results:

  • Energy decay followed a stretched exponential pattern when the disorder was fractal.
  • The exponent of the stretched exponential decay was found to vary continuously with a control parameter.
  • At low temperatures, evidence suggests that energy can be trapped indefinitely at the injection site, indicating classical many-body localization.

Conclusions:

  • Fractal disorder significantly impacts energy transport in nonlinear oscillator chains.
  • The observed stretched exponential decay and energy trapping highlight unique localization phenomena.
  • The findings provide evidence for classical many-body localization in this specific disordered system.