Escape of Brownian particles in an asymmetric bistable sawtooth potential driven by cross-correlated noises |
| |
Authors: | CW Xie DC Mei L Cao DJ Wu |
| |
Affiliation: | (1) Department of Physics, Yunnan University, Kunming 650091, PR China,, CN;(2) Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, PR China, CN |
| |
Abstract: | The relative escape rate (RER) for Brownian particles in an asymmetric bistable sawtooth potential driven by cross correlations
between multiplicative white noise and additive white noise is studied. A new expression of the mean first-passage time is
derived under the condition of piecewise linear potentials and discontinuous diffusion function. Based on the results of RER
numerically calculated, it is found that (i) under positively correlated noises action (i.e. λ > 0, and λ is the correlation strength), the escape rate exhibits the suppression platform as the intensity of multiplicative
noise varies. The effect of suppression becomes more pronounced with the growth of height of the deterministic potential barrier
for transition, and with the increase of λ. However, for the case of uncorrelated noises (λ = 0) and of negatively correlated
noises (λ < 0), the suppression platform disappears. (ii) The positive correlation between noises amplifies the change of
the escape rate with the height of barrier for transition, while the negative correlation between noises suppresses this change.
Received 20 November 2002 / Received in final form 19 October 2003 Published online 23 May 2003
RID="a"
ID="a"e-mail: kmdcmei@public.km.yn.cn |
| |
Keywords: | PACS 05 40 -a Fluctuation phenomena random processes noise and Brownian motion – 02 50 -r Probability theory stochastic processes and statistics |
本文献已被 SpringerLink 等数据库收录! |
|