Double universality of 1/f noise percolation-like exponent in systems with exponentially wide spectrum of resistances

A.A. Snarskii and A. Kolek

Physica A: Statistical Mechanics and its Applications, 1997, vol. 241, issue 1, 355-359

Abstract: Theory and numerical simulations of /1f noise in random networks in which bonds take resistance r ∼ exp(-λx), where x is a random variable and λ ⪢ are presented. For microscopic noise generating mechanism which obeys the form of {δr2} ∼ r2+θ, it is shown that the overall noise intensity of the network is given by Ce ∼ λm exp(-λθxc), where 1 − xc is the percolation threshold. In the range 0 ⩽ θ < 2 exponent m is “double universal”, i.e. it is independent of the lattice geometry and of microscopic noise generating mechanism. Numerical simulations give m ≌ 2.5.

Keywords: Percolation; 1/f noise; Critical path (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:241:y:1997:i:1:p:355-359

DOI: 10.1016/S0378-4371(97)00107-6

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