6533b872fe1ef96bd12d4362
RESEARCH PRODUCT
Stochastic resonance in a trapping overdamped monostable system.
Bernardo SpagnoloDavide ValentiN. V. AgudovA. V. Krichiginsubject
Fluctuation phenomena random processes noise and Brownian motionSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciLaplace transformStochastic processPerturbation (astronomy)Monotonic functionPiecewise linear functionsymbols.namesakeMultivibratorAdditive white Gaussian noiseStochastic processesControl theorysymbolsStatistical physicsBrownian motionComputer Science::Information TheoryMathematicsdescription
The response of a trapping overdamped monostable system to a harmonic perturbation is analyzed, in the context of stochastic resonance phenomenon. We consider the dynamics of a Brownian particle moving in a piecewise linear potential with a white Gaussian noise source. Based on linear-response theory and Laplace transform technique, analytical expressions of signal-to-noise ratio (SNR) and signal power amplification (SPA) are obtained. We find that the SNR is a nonmonotonic function of the noise intensity, while the SPA is monotonic. Theoretical results are compared with numerical simulations.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-11-06 | Physical review. E, Statistical, nonlinear, and soft matter physics |