Stochastic Resonance: influence of a $f^{-κ}$ noise spectrum

Details Stochastic Resonance: influence of a $f^{-κ}$ noise spectrum Stochastic Resonance: influence of a $f^{-κ}$ noise spectrum

2006-02-06

arxiv.org/abs/cond-mat/0602130v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 6 figures, submitted to Euro.Phys.J.B

Scientific paper

10.1140/epjb/e2006-00288-4

Here, in order to study \textit{stochastic resonance} (SR) in a double-well potential when the noise source has a spectral density of the form $f^{-\kappa}$ with varying $\kappa$, we have extended a procedure, introduced by Kaulakys et al (Phys. Rev. E \textbf{70}, 020101 (2004)). In order to have an analytical understanding of the results, we have obtained an effective Markovian approximation, that allows us to make a systematic study of the effect of such kind of noises on the SR phenomenon. The comparison of numerical and analytical results shows an excellent qualitative agreement indicating that the effective Markovian approximation is able to correctly describe the general trends.

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