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Escape over a fluctuating barrier with additive and multiplicative noise
1Department of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China.
Summary
This study explores resonant activation (RA) over fluctuating potential barriers with additive and multiplicative noise. Noise can weaken RA, but correlations enhance it, with multiplicative noise having a greater effect.
Area of Science:
- Statistical physics
- Nonlinear dynamics
Background:
- Fluctuating potential barriers are crucial in various physical and chemical processes.
- Understanding noise effects on system dynamics is essential for predicting behavior.
Purpose of the Study:
- Investigate the mean first passage time (MFPT) over fluctuating potential barriers.
- Analyze the impact of additive and multiplicative noises and their correlation on resonant activation (RA).
Main Methods:
- Theoretical analysis of systems with fluctuating potentials.
- Examination of the mean first passage time (MFPT).
- Study of resonant activation (RA) phenomena.
Main Results:
- MFPT over fluctuating potential barriers exhibits resonant activation (RA).
- Additive and multiplicative noises can weaken RA, while their correlation enhances it.
- Multiplicative noise has a significantly larger impact on RA than additive noise.
Conclusions:
- The correlation between noises plays a key role in modulating RA.
- Positive correlation suppresses the transition rate (inverse of MFPT).
- Noise strengths influence the transition rate, potentially leading to a minimum.