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Escape from noisy intermittent repellers

Biswas1

  • 1Theoretical Physics Division, Bhabha Atomic Research Centre, Trombay, Mumbai 400 085, India.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Weak noise transforms power law decays into exponential decays in systems with intermittent repellers. This finding impacts understanding of ballistic transport in complex microstructures.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Chaos theory

Background:

  • Intermittent or marginally stable repellers typically exhibit power law decay in survival fraction.
  • Understanding the influence of noise on dynamical systems is crucial for realistic modeling.

Purpose of the Study:

  • To investigate the effect of weak additive noise on the spectral properties of the Perron-Frobenius operator.
  • To analyze the impact of noise on decay rates in systems with intermittent repellers.

Main Methods:

  • Analysis of the Perron-Frobenius operator spectrum.
  • Perturbation theory for dynamical systems.
  • Mathematical modeling of noise effects.

Main Results:

Related Experiment Videos

  • Weak additive noise significantly alters the Perron-Frobenius operator spectrum.
  • Noise induces exponential decays in survival fractions, even in otherwise regular systems.
  • The study provides insights into the transition from power law to exponential decay.

    • Conclusions:

    • Additive noise plays a critical role in determining the decay dynamics of intermittent repeller systems.
    • The findings have implications for understanding ballistic transport in noisy, marginally stable microstructures.