https://doi.org/10.1007/PL00011104
Escape of Brownian particles in a bistable sawtooth potential driven by correlated white noises
1
State Key Laboratory for Laser Technology, Huazhong University of
Science and Technology, Wuhan 430074, PR China
2
Department of Physics, Huazhong University of Science and Technology,
Wuhan 430074, PR China
3
CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China
Corresponding author: a szke@wuhan.cngb.com
Received:
16
September
2000
Revised:
15
January
2001
Published online: 15 April 2001
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
