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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.
Summary
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.
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.
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