The transient properties of a bistable system driven by cross-correlated noises are investigated; the correlation times of the correlations between the noises are nonzero. The mean first-passage time ͑MFPT͒ is calculated. From numerical computations we find the following: ͑1͒ The MFPT of the system is affected by both the correlation time and the correlation strength ; ͑2͒ and play opposing roles in the MFPT; ͑3͒ when or ␣/D(␣ and D are the additive and multiplicative noise intensities respectively͒ are far away from 1, the MFPT as a function of is monotonic; however, when both ␣/D and approach 1, the MFPT as a function of is nonmonotonic; ͑4͒ for the case of perfectly correlated noises ͑ϭ1͒, the MFPT corresponding to ␣ϾD and ␣ϽD exhibit the same behaviors and the MFPT for ␣ϭD is continuous, which is very different from the case of the ϭ0 ͓Phys. Rev. E 53, 5764 ͑1996͔͒. ͓S1063-651X͑99͒14203-X͔ PACS number͑s͒: 05.40.Ca
We present an analytical investigation of the fluctuation-induced transport of Brownian particles in a deterministic spatial symmetrical periodic potential subject to Gaussian noises. We found that directed motion of the Brownian particles can be induced by the correlation between a multiplicative white noise and an additive white noise. The direction of current is determined by the sign of the noise correlation.
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