Effect of Non Gaussian Noises on the Stochastic Resonance-Like Phenomenon in Gated Traps

Details Effect of Non Gaussian Noises on the Stochastic Resonance-Like Phenomenon in Gated Traps Effect of Non Gaussian Noises on the Stochastic Resonance-Like Phenomenon in Gated Traps

2001-09-25

arxiv.org/abs/cond-mat/0109454v1

Physics

Condensed Matter

Statistical Mechanics

Communication to LAWNP01, Proceedings to be published in Physica D, RevTex, 8 pgs, 5 figures

Scientific paper

10.1016/S0167-2789(02)00505-5

We exploit a simple one-dimensional trapping model introduced before, prompted by the problem of ion current across a biological membrane. The voltage-sensitive channels are open or closed depending on the value taken by an external potential that has two contributions: a deterministic periodic and a stochastic one. Here we assume that the noise source is colored and non Gaussian, with a $q$-dependent probability distribution (where $q$ is a parameter indicating the departure from Gaussianity). We analyze the behavior of the oscillation amplitude as a function of both $q$ and the noise correlation time. The main result is that in addition to the resonant-like maximum as a function of the noise intensity, there is a new resonant maximum as a function of the parameter $q$.

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