Abstract
The excess 1/f noise in a random lattice with bond resistances r∼exp(−λx), where x is a random variable and λ≪1, is studied theoretically. It is shown that if the correlation function {δr 2}∼r r θ+2, then the relative spectral density of the noise in the system is expressed as C e∼λm exp(−λ(1−p c)), where p c is the percolation threshold and m=νd (ν is the critical exponent of the correlation length and d is the dimensionality of the problem). It is hypothesized that the exponent m possesses a dual universality: It is independent of 1) the geometry of the lattice and 2) the θ-mechanism responsible for the generation of the local noise. Numerical modeling in a three-dimensional lattice gives m=52.3 for θ=1 and θ=0, in agreement with the hypothesis.
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Pis’ma Zh. Éksp. Teor. Fiz. 63, No. 8, 614–618 (25 April 1996)
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Snarskii, A.A., Kolek, A. Excess 1/f noise in systems with an exponentially wide spectrum of resistances and dual universality of the percolation-like noise exponent. Jetp Lett. 63, 651–656 (1996). https://doi.org/10.1134/1.567082
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DOI: https://doi.org/10.1134/1.567082