Effects of cross-correlated noises on the relaxation time of the bistable system

• 来源期刊: 中国物理(英文版)
• 关键词: correlated noise relaxation time bistable system
• 年，卷（期）: 2003,（11）
• 页码范围: 1208-1212
• 页数: 5页
• 语种: 英文

摘要

The stationary correlation function and the associated relaxation time for a general system driven by crosscorrelated white noises are derived, by virtue of a Stratonovich-like ansatz. The effects of correlated noises on the relaxation time of a bistable kinetic model coupled to an additive and a multiplicative white noises are studied. It is proved that for small fluctuations the relaxation time Tc as a function of λ (the correlated intensity between noises)exhibits very different behaviours for α＜ D and for α＞ D (α and D, respectively, stand for the intensities of additive and multiplicative noises). When α＞ D, Tc increases with increasing λ. But when α＜ D, Tc increases with λ for the case of weak correlated noises and sharply decreases with λ for the case of strong correlated noises, and thus Tc-λ curve behaves with one extremum.