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Escape of Brownian particles in a bistable sawtooth potential driven by correlated white noises |
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| Authors: | JY You L Cao SZ Ke DJ Wu |
| Affiliation: | (1) State Key Laboratory for Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China, CN;(2) Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, PR China, CN;(3) CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China, CN |
| Abstract: | An exact analytic expression of the relative escape rate (RER) for Brownian particles in a bistable sawtooth potential driven by correlated white noises is obtained. It is found that the RER vs. R (the multiplicative to the additive noise intensities ratio) exhibits a suppression platform for positive correlation, whereas the resonant activation and suppression platform appear successively for negative correlation. The mechanism of the present phenomena is explained. The effects of a nonlinear potential on the RER are studied. We have numerically calculated the RER of the system under a parabolic potential and a quartic potential and have compared the differences of the RER in the case of the linear potential and the one of the nonlinear potential. Received 16 September 2000 and Received in final form 15 January 2001 |
| Keywords: | PACS 05 40 -a Fluctuation phenomena random processes noise and Brownian motion - 82 40 Qt Complex chemical systems - 02 50 -r Probability theory stochastic processes and statistics |
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