English

Escape process and stochastic resonance under noise-intensity fluctuation

Statistical Mechanics 2011-08-24 v4

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.

Keywords

Cite

@article{arxiv.1011.2533,
  title  = {Escape process and stochastic resonance under noise-intensity fluctuation},
  author = {Yoshihiko Hasegawa and Masanori Arita},
  journal= {arXiv preprint arXiv:1011.2533},
  year   = {2011}
}

Comments

23 pages, 7 figures

R2 v1 2026-06-21T16:42:07.083Z