Escape of Brownian particles in a bistable sawtooth potential driven by correlated white noises

J.Y. You, L. Cao, S.Z. Ke and D.J. Wu
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J.Y. You: State Key Laboratory for Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China
L. Cao: State Key Laboratory for Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China
S.Z. Ke: State Key Laboratory for Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China
D.J. Wu: Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, PR China

The European Physical Journal B: Condensed Matter and Complex Systems, 2001, vol. 20, issue 3, 397-403

Abstract: 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.

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 (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/PL00011104

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