Internal diffusion noise of fractals

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Abstract
The spectrum for resistance fluctuations due to diffusing objects contained within fractal networks is calculated. The diffusion is assumed to occur entirely within the object and no external dimensions are imposed by probes. The resulting spectra depend on three different fractal dimensions of the object—the standard dimension, the spectral dimension, and a noise dimension. Unlike previous fractal diffusion regimes for which calculations have been made, this regime has no Euclidean analogue. A specific example is given.