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- W2056559854 abstract "Diffusion noise and Nyquist noise on fractal lattices and percolation clusters are discussed in the high- and low-frequency limits. Diffusion noise can also be considered as a sort of ``1/f noise.'' Even for system sizes much larger than the correlation length, the fractal structure of the percolation clusters reveals itself at sufficiently high frequencies through the anomalous frequency dependence ${f}^{mathrm{ensuremath{-}}(3+mathrm{theta})/(2+mathrm{theta})}$, where theta is the anomalous diffusion exponent. This law takes the 1/f form in the large-theta limit and reduces to the universal Lax-Mengert law ${f}^{mathrm{ensuremath{-}}3/2}$ in the case of ordinary diffusion (theta=0). The new inequality -${ensuremath{beta}}_{L}$2 for the localization ensuremath{beta} function of certain fractals is also derived. The corresponding inequality for percolation clusters is t/ensuremath{nu}d where t is the conductivity exponent and ensuremath{nu} the correlation length exponent." @default.
- W2056559854 created "2016-06-24" @default.
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- W2056559854 date "1986-12-01" @default.
- W2056559854 modified "2023-10-17" @default.
- W2056559854 title "Diffusion noise of fractal networks and percolation clusters" @default.
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- W2056559854 doi "https://doi.org/10.1103/physrevb.34.7802" @default.
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