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Coupling-enhanced stochastic resonance.

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Stochastic resonance in coupled nonlinear systems is explored. Spatial effects significantly alter state transitions and system response, showing sensitivity to coupling and size.

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Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Complex systems

Background:

  • Stochastic resonance (SR) is a phenomenon where noise enhances the detection of weak signals in nonlinear systems.
  • Previous studies primarily focused on single or uncoupled subsystems.

Purpose of the Study:

  • To analyze stochastic resonance in an array of nonlinear spatially coupled subsystems.
  • To investigate the impact of spatial coupling and system size on SR properties.

Main Methods:

  • Derivation of analytic expressions for steady-state solutions.
  • Calculation of transition rates between states in the presence of noise.
  • Analysis of system response to weak external periodic forcing.

Main Results:

  • The presence of spatial degrees of freedom significantly modifies state transition mechanisms.
  • The system's response exhibits marked sensitivity to the coupling constant.
  • System size plays a crucial role in the observed stochastic resonance effects.

Conclusions:

  • Spatial coupling introduces novel dynamics to stochastic resonance.
  • The findings highlight the importance of considering spatial interactions in complex nonlinear systems.
  • This work provides a theoretical framework for understanding SR in extended systems.