Escape process and stochastic resonance under noise intensity fluctuation |
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Authors: | Yoshihiko Hasegawa Masanori Arita |
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Affiliation: | a Department of Biophysics and Biochemistry, Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan b Institute for Advanced Biosciences, Keio University, Yamagata 997-0035, Japan |
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Abstract: | We study the effects of noise intensity fluctuations on the stationary and dynamical properties of an overdamped Langevin model with a bistable potential and external periodical driving force. We calculated the stationary distributions, mean-first passage time (MFPT) and the spectral amplification factor using a complete set expansion (CSE) technique. We found resonant activation (RA) and stochastic resonance (SR) phenomena in the system under investigation. Moreover, the strength of RA and SR phenomena exhibit non-monotonic behavior and their trade-off relation as a function of the squared variation coefficient of the noise intensity process. The reliability of CSE is verified with Monte Carlo simulations. |
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Keywords: | Stochastic process Superstatistics Stochastic volatility Resonant activation Mean first passage time Stochastic resonance |
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