1/f noise in systems with exponentially wide spectrum of resistances

Andrei A. Snarskii; A. E. Morozovsky; Andrzej Kolek

doi:10.1117/12.238132

8 April 1996 1/f noise in systems with exponentially wide spectrum of resistances

Andrei A. Snarskii, A. E. Morozovsky, Andrzej Kolek

Proceedings Volume 2780, Metal/Nonmetal Microsystems: Physics, Technology, and Applications; (1996) https://doi.org/10.1117/12.238132
Event: Metal/Nonmetal Microsystems: Physics, Technology, and Applications, 1995, Polanica Zdroj, Poland

Abstract

Numerical simulations of 1/f noise in random networks in which bonds take resistances r approximately equals exp(-(lambda) x), where x is a random variable and (lambda) >> 1, are presented. For microscopic noise generating mechanism which obeys the form of {(delta) r(delta) r} approximately equals r^{2 $plus (theta} ) it is shown that the effective noise intensity C equivalent S(Omega) , where S is the relative power spectral density of the fluctuations (delta) R of the resistance R of the network and (Omega) is the networks volume, is given by C approximately equals (lambda) ^mexp(- (lambda) (theta) x_c) where X_c is related to percolation threshold. Numerical simulations performed for (theta) equals 1 and (theta) equals 0 give m equals 2.3 and show that exponent m is 'double universal' i.e., it is independent of the geometry of the lattice and of microscopic noise generating mechanism.

Citation Download Citation

Andrei A. Snarskii, A. E. Morozovsky, and Andrzej Kolek "1/f noise in systems with exponentially wide spectrum of resistances", Proc. SPIE 2780, Metal/Nonmetal Microsystems: Physics, Technology, and Applications, (8 April 1996); https://doi.org/10.1117/12.238132

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