Eur. Phys. J. B 33, 83-86 (2003)
https://doi.org/10.1140/epjb/e2003-00144-1

Escape of Brownian particles in an asymmetric bistable sawtooth potential driven by cross-correlated noises

¹ Department of Physics, Yunnan University, Kunming 650091, PR China,
² Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, PR China

Corresponding author: ^a kmdcmei@public.km.yn.cn

Received: 20 November 2002
Revised: 19 October 2003
Published online: 23 May 2003

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. , 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 () and of negatively correlated noises (), 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.