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Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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Published on: April 4, 2016

Stochastic resonance in periodic potentials.

S Saikia1, A M Jayannavar, Mangal C Mahato

  • 1Department of Physics, North-Eastern Hill University, Shillong, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 30, 2011
PubMed
Summary
This summary is machine-generated.

Stochastic resonance (SR) occurs in periodic potential systems, contrary to previous assumptions. This study demonstrates SR in high-frequency regimes, driven by distinct dynamical states within the system.

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Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Complex systems

Background:

  • Stochastic resonance (SR) is typically observed in bistable systems.
  • The occurrence of SR in periodic potential systems remains an open question.
  • Understanding SR in different potential landscapes is crucial for its applications.

Purpose of the Study:

  • To investigate the phenomenon of stochastic resonance (SR) in periodically driven periodic potential systems.
  • To determine if SR can occur in systems that are not bistable.
  • To explore the role of system dynamics in the manifestation of SR.

Main Methods:

  • Numerical simulations of a moderately feebly damped, periodically driven, noisy periodic potential system.
  • Analysis of system dynamics and trajectory states.
  • Examination of frequency-dependent mobility as a function of noise strength.

Main Results:

  • Stochastic resonance (SR) is demonstrated to occur in periodic potential systems.
  • SR is observed in the high-frequency regime.
  • The linear-response theory accurately predicts maximum frequency-dependent mobility concerning noise strength.
  • The presence of two distinct dynamical states is critical for SR occurrence.

Conclusions:

  • Periodic potential systems can exhibit stochastic resonance (SR), expanding the known conditions for this phenomenon.
  • The high-frequency regime and specific dynamical states are key factors for SR in these systems.
  • This finding has implications for understanding noise-induced phenomena in various physical systems.