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Area of Science:

  • Statistical physics
  • Nonlinear dynamics
  • Complex systems

Background:

  • Autonomous systems coupled to fluctuating baths can exhibit complex behaviors.
  • Stochastic resonance (SR) is a phenomenon where noise enhances a system's response.

Purpose of the Study:

  • To investigate the conditions for resonant response in a one-dimensional linear autonomous system coupled to a nonequilibrium fluctuating bath.
  • To explore the applicability of the stochastic resonance paradigm in this context.

Main Methods:

  • Numerical investigation of a one-dimensional linear autonomous system.
  • Analysis of the system's response to a generic stationary nonequilibrium fluctuating bath.

Main Results:

  • Resonant response is observed when the system's damped oscillation period matches a characteristic bath relaxation time.
  • This resonance can be achieved by tuning the system to the bath.

Conclusions:

  • The study demonstrates a simple mechanism for stochastic resonance in linear systems.
  • Potential applications include energy harvesting, activated barrier crossing, and stabilization of unstable limit cycles.