6533b857fe1ef96bd12b4dd6
RESEARCH PRODUCT
Numerical simulation of resonant activation in a fluctuating metastable model system
Bernardo SpagnoloRosario N. Mantegnasubject
Stretched exponential functionChemistryMetastabilityGeneral Physics and AstronomyProbability density functionWhite noiseAtomic physicsResidence time (statistics)Brownian motionNoise (radio)Exponential functiondescription
We study the escape time from a metastable overdamped model system in the presence of two noise sources: a white noise and a random telegraph noise. The random telegraph noise controls the height of the potential barrier of the metastable system while the white noise mimics the presence of a given temperature. We report on numerical simulations about: (i) the average residence time of the system in the metastable state; (ii) the probability density function (PDF) of the residence time at various values of the correlation time T c of the random telegraph noise. Resonant activation is observed in the dynamics of the investigated system. The PDF shows different shapes for different values of τ c : a) for very short values of τ c and near the resonant activation regime a single exponential function; b) for very long values of τ c the sum of two exponential functions; c) in the intermediate regime between a) and b) a shape which is well approximated by a stretched exponential function.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-10-01 | Le Journal de Physique IV |