Trapping Dynamics with Gated Traps: Stochastic Resonance-Like Phenomenon

Details Trapping Dynamics with Gated Traps: Stochastic Resonance-Like Phenomenon Trapping Dynamics with Gated Traps: Stochastic Resonance-Like Phenomenon

2000-12-15

arxiv.org/abs/cond-mat/0012302v1

Physics Letters A v.277, 304-309 (2000)

Physics

Condensed Matter

Statistical Mechanics

RevTex, 5 pgs, 3 figures

Scientific paper

10.1016/S0375-9601(00)00724-6

We present a simple one-dimensional trapping model prompted by the problem of ion current across biological membranes. The trap is modeled mimicking the ionic channel membrane behaviour. Such voltage-sensitive channels are open or closed depending on the value taken by a potential. Here we have assumed that the external potential has two contributions: a determinist periodic and a stochastic one. Our model shows a resonant-like maximum when we plot the amplitude of the oscillations in the absorption current vs. noise intensity. The model was solved both numerically and using an analytic approximation and was found to be in good accord with numerical simulations.

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