2009/08/23 by A. Fiasconaro, Alessandro Fiasconaro, Bernardo Spagnolo · 1 citation
Mathematics · Neuroscience · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Brownian motion #Colored #Colors of noise #Correlation function (quantum field theory) #First-hitting-time model #Gaussian noise #Materials science #Mathematics #Metastability #Neural dynamics and brain function #Noise (video) #Physics #Quantum mechanics #Spectral density #Stability (learning theory) #Statistical physics #Statistics #White noise #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.80.041110
6 pages, 7 figures
arxiv created 2009/08/23 · openalex publication_date 2009/10/07 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 noises, depending on the value of tau(c) with respect to the relaxation time of the system.