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Noise suppression by noise.

J M Vilar1, J M Rubí

  • 1Department of Physics, Princeton University, New Jersey 08544, USA.

Physical Review Letters
|February 15, 2001
PubMed
Summary
This summary is machine-generated.

Adding external noise to systems can paradoxically decrease total noise. This study identifies a general criterion for this noise reduction phenomenon in systems relaxing to a steady state.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Stochastic Processes

Background:

  • Systems often exhibit intrinsic noise affecting their behavior.
  • Understanding noise effects is crucial for predicting system dynamics.
  • Fast relaxation to a stationary state is common in many physical systems.

Purpose of the Study:

  • To investigate the complex interplay between external and intrinsic noise.
  • To determine conditions under which external noise can mitigate total system noise.
  • To provide a theoretical framework and examples for this counterintuitive phenomenon.

Main Methods:

  • Analysis of stochastic systems with both intrinsic and externally added noise.
  • Derivation of a general criterion for noise reduction.

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  • Detailed examination of two specific model systems.

    • Main Results:

    • Demonstrated that increasing external noise intensity can lead to a decrease in total system noise.
    • Established a general criterion governing this noise reduction effect.
    • Illustrated the phenomenon with two distinct case studies.

    Conclusions:

    • External noise can play a regulatory role in stochastic systems.
    • The findings offer new insights into noise control in systems near stationary states.
    • The established criterion provides a predictive tool for identifying systems exhibiting this behavior.