Abstract
Whenever fractal interfaces are obtained by diffusion, they may present, besides the anomalous electrical properties due to their static geometry, an anomalous noise related to the fluctuation in time of this geometry. These fluctuations occur at very high frequencies as compared to the atomic jump rate. They may then be a source of noise in heterogeneous systems or diffused contacts which can be otherwise considered as quenched. This “geometrical” noise is calculated in the framework of gradient percolation Monte Carlo simulations in d=2. Scaling arguments based on fluctuations of cutting bonds are given to account for the results. We predict a high-frequency power noise spectrum in 1/f2 and a low-frequency power spectrum in 1/f. The cross-over between the two regimes occurs at a frequency which has a power law dependence as a function of the gradient of concentration at the interface. The scaling behaviour of these phenomena agrees with simple predictions from percolation theory.
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Sapoval, B., Rosso, M., Gouyet, J.F., Boughaleb, Y. (1989). Diffusion, Intercalation and Invasion Noise. In: Pietronero, L. (eds) Fractals’ Physical Origin and Properties. Ettore Majorana International Science Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3499-4_18
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DOI: https://doi.org/10.1007/978-1-4899-3499-4_18
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