1. Diffusion over a fluctuating barrier in underdamped dynamics.
- Author
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Jun-Wen Mao and Cai-Wan Shen
- Subjects
- *
LANGEVIN equations , *GAUSSIAN distribution , *GAUSSIAN processes , *BROWNIAN motion , *DYNAMICS - Abstract
We apply a Langevin model by imposing additive and multiplicative noises to study thermally activated diffusion over a fluctuating barrier in underdamped dynamics. The barrier fluctuation is characterized by Gaussian colored noise with exponential correlation. We present the exact solutions for the first and second moments. Furthermore, we use direct simulations to calculate the asymptotic probability for a Brownian particle passing over the fluctuating barrier. The results indicate that the correlation of the fluctuating barrier is crucial for barrier crossing dynamics. [ABSTRACT FROM AUTHOR]
- Published
- 2011
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