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

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  • Snarskii, A.A.
  • Kolek, A.

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.

Suggested Citation

  • Snarskii, A.A. & Kolek, A., 1997. "Double universality of 1/f noise percolation-like exponent in systems with exponentially wide spectrum of resistances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 355-359.
    • Handle: RePEc:eee:phsmap:v:241:y:1997:i:1:p:355-359
    DOI: 10.1016/S0378-4371(97)00107-6
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