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

Abstract

Numerical simulations of liT noise in random networks in which bonds take resistances rexp(4x), where x is a random variable and >>1 are presented. For microscopic noise generating mechanism which obeys the form of {6r6}'r it is shown that the effective noise intensity where S is the relative power spectral density of the fluctuations 6R of the resistance R ofthe network and fl is the networks volume is given by Cmexp(4ex) where x related to the percolation threshold. Numerical simulations performed for e=i and e=o give m2.3 and show that exponent m is doub1e universal" i.e. it is independent ofthe geometry ofthe lattice and of microscopic noise generating mechanism.