6533b823fe1ef96bd127f841

RESEARCH PRODUCT

Stability measures in metastable states with Gaussian colored noise

Bernardo SpagnoloAlessandro Fiasconaro

subject

Statistical Mechanics (cond-mat.stat-mech)FOS: Physical sciencesFunction (mathematics)Stability (probability)Colors of noiseStochastic Mechanics Noise Nonlinear systemsMetastabilityRectangular potential barrierStatistical physicsGrowth rateFirst-hitting-time modelBrownian motionCondensed Matter - Statistical MechanicsMathematics

description

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.

https://dx.doi.org/10.48550/arxiv.0908.3292