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

Author

Listed:
  • 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)

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.

Suggested Citation

  • J.Y. You & L. Cao & S.Z. Ke & D.J. Wu, 2001. "Escape of Brownian particles in a bistable sawtooth potential driven by correlated white noises," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 20(3), pages 397-403, April.
    • Handle: RePEc:spr:eurphb:v:20:y:2001:i:3:d:10.1007_pl00011104
    DOI: 10.1007/PL00011104
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