Mean first-passage time of an asymmetric kinetic model driven by two different kinds of colored noises

The mean first-passage time (MPPT) 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 beta, the non-Gaussian parameter (Measures deviation from Gaussian character) r, the noise correlation times T and T-2, the coupling coefficient lambda, the intensities D and alpha of noise on the MFPT are discussed. It is found that the asymmetry parameter beta, the non-Gaussian parameter r and the coupling coefficient lambda can induce phase transition. Moreover, the main findings are that the effect of self-existent parameters (D, alpha, and r) of noise and cross-correlation parameters (lambda, T-2) between noises on MFPT T-+/- is different.