Mean First-Passage Time of an Asymmetric Kinetic Model Driven by Two Different Kinds of Colored Noises

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2008,（3）
• 页码范围: 689-695
• 页数: 7页
• 语种: 英文

摘要

The mean first-passage time (MFPT) of an asymmetric bistable system between multiplicative non-Gaussian noise and additive Gaussian white noise with nonzero cross-correlation time is investigated. Firstly, the non-Markov process is reduced to the Markov process through a path-integral approach; Secondly, the approximate Fokker-Planck equation is obtained by applying the unified colored noise approximation and the Novikov Theorem. The steady-state probability distribution (SPD) is also obtained. The basal functional analysis and simplification are employed to obtain the approximate expressions of MFPT T±. The effects of the asymmetry parameter β, the non-Gaussian parameter (measures deviation from Gaussian character) r, the noise correlation times and T2, the coupling coefficient λ, the intensities D and a of noise on the MFPT are discussed. It is found that the asymmetry parameter/3, the non-Gaussian parameter r and the coupling coefficient λ can induce phase transition. Moreover, the main findings are that the effect of self-existent parameters (D, α, and t) of noise and cross-correlation parameters (λ, 2) between noises on MFPT T± is different.