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

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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.

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Authors and Affiliations

  1. State Key Laboratory for Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, PR China, , , , , , CN

    J.Y. You, L. Cao & S.Z. Ke

  2. Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, PR China, , , , , , CN

    D.J. Wu

Authors
  1. J.Y. You
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  2. L. Cao
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  3. S.Z. Ke
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  4. D.J. Wu
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Received 16 September 2000 and Received in final form 15 January 2001

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You, J., Cao, L., Ke, S. et al. Escape of Brownian particles in a bistable sawtooth potential driven by correlated white noises. Eur. Phys. J. B 20, 397–403 (2001). https://doi.org/10.1007/PL00011104

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  • DOI: https://doi.org/10.1007/PL00011104

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