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Stability measures in metastable states with Gaussian colored noise
Alessandro Fiasconaro1, Bernardo Spagnolo
1Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary Physics, Università di Palermo and CNISM-INFM, Viale delle Scienze, I-90128 Palermo, Italy. afiasconaro@gip.dft.unipa.it
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
Summary
We studied how colored noise affects the escape time of Brownian particles. Results show noise-enhanced stability, with distinct regimes for weak and strong noise correlations.
Area of Science:
- Statistical Physics
- Nonlinear Dynamics
Background:
- Metastable states are common in physical and chemical systems.
- Understanding escape dynamics from these states is crucial for many applications.
- Brownian motion is a fundamental model for particle movement in complex environments.
Purpose of the Study:
- To investigate the influence of colored noise on the escape time of an overdamped Brownian particle.
- To analyze the impact of correlation time on mean first passage time and growth rate coefficient.
- To identify dynamical regimes based on noise correlation strength.
Main Methods:
- Simulating an overdamped Brownian particle subjected to Ornstein-Uhlenbeck colored noise.
- Analyzing the mean first passage time across a potential barrier.
- Examining the mean growth rate coefficient as a function of noise intensity and correlation time.
Main Results:
- Observed noise-enhanced stability for all investigated correlation times.
- Identified two distinct dynamical regimes: weak and strong correlated noise.
- Demonstrated a dependence of these regimes on the correlation time relative to the system's relaxation time.
Conclusions:
- Colored noise significantly impacts the stability and escape dynamics of metastable systems.
- Correlation time is a critical parameter, defining different noise-induced dynamical behaviors.
- The findings provide insights into noise-induced stabilization effects in complex systems.
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