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arXiv · 0908.3292

Stability measures in metastable states with Gaussian colored noise

Alessandro Fiasconaro·Bernardo Spagnolo
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Abstract

We present a study of the escape time from a metastable state of an overdamped Brownian particle, in the presence of colored noise generated by Ornstein-Uhlenbeck process. We analyze the role of the correlation time on the enhancement of the mean first passage time through a potential barrier and on the behavior of the mean growth rate coefficient as a function of the noise intensity. We observe the noise enhanced stability effect for all the initial unstable states used, and for all values of the correlation time $\tau_c$ investigated. We can distinguish two dynamical regimes characterized by weak and strong correlated noise respectively, depending on the value of $\tau_c$ with respect to the relaxation time of the system.

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Alessandro Fiasconaro, Bernardo Spagnolo. 2009-08-23. Stability measures in metastable states with Gaussian colored noise. https://doi.org/10.1103/physreve.80.041110

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