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Adiabatic approximation and parametric stochastic resonance in a bistable system with periodically driven barrier
1Department of Physical Sciences "E.R. Caianiello," University of Salerno, via S. Allende, I84081 Baronissi (SA), Italy.
Summary
This study compares analytical and numerical methods for understanding transitions in a driven quartic potential. The adiabatic approximation is accurate across many parameters, especially with higher noise, revealing parametric stochastic resonance.
Area of Science:
- Physics
- Physical Chemistry
- Nonlinear Dynamics
Background:
- Understanding fluctuation-induced transitions is crucial in various physical systems.
- The behavior of systems with periodically driven potentials is complex and requires detailed analysis.
Purpose of the Study:
- To compare the analytical adiabatic exponential approximation with exact numerical descriptions.
- To investigate fluctuation-induced transitions in a quartic potential with a periodically driven barrier.
- To identify and characterize parametric stochastic resonance.
Main Methods:
- Analytical adiabatic exponential approximation.
- Exact numerical description.
- Analysis of a quartic potential with a periodically driven barrier.
Main Results:
- The adiabatic approximation provides an adequate description of transitions over a broad parameter range.
- Approximation accuracy increases with rising noise intensity.
- Parametric stochastic resonance is observed for specific parameter values.
Conclusions:
- The adiabatic approximation is a reliable tool for analyzing these transitions.
- Noise intensity plays a key role in the accuracy of the approximation.
- Parametric stochastic resonance represents a distinct phenomenon in driven systems.
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If ζ...
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