Brownian dynamics simulations of flicker noise in nanochannels currents

I. D. Kosińska; A. Fuliński

doi:doi:10.1209/0295-5075/81/50006

EPL, 81 (2008) 50006
DOI: 10.1209/0295-5075/81/50006

Brownian dynamics simulations of flicker noise in nanochannels currents

I. D. Kosinska^{1, 2} and A. Fulinski¹

¹ M. Smoluchowski Institute of Physics, Jagiellonian University - Reymonta 4, PL-30-059 Kraków, Poland
² Institut für Physik, Universität Augsburg - D-86135 Augsburg, Germany

received 8 November 2006; accepted in final form 17 January 2008; published March 2008
published online 19 February 2008

Abstract
We simulated the single-file motion of ${\rm K}^{+}$ ions through a model channel with the gate which opens and closes under influence of white noise and of interactions with ions present inside the channel. There is a range of the model parameters, in which the power spectrum of the ion net current through the channel has the characteristics of the flicker noise. The flicker noise is accompanied by the long-tail dwell-time distributions. The stochastic analysis of the calculated currents reveals their self-similarity. The open-state currents scale with the scaling exponent $\beta$ =-1.0 $\pm$ 0.15. To our best knowledge, our results are the first derivation of 1/f noise directly from Langevin equations with simple electrostatic interactions and white noise.

PACS
05.40.Ca - Noise.
02.70.-c - Computational techniques; simulations.
47.61.-k - Micro and nano-scale flow phenomena.

© EPLA 2008