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Phys. Rev. Lett. 54, 1718–1721 (1985)

Flicker (1/f) Noise in Percolation Networks: A New Hierarchy of Exponents

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R. Rammal
Centre de Recherche sur les Très Basses Températures, Centre National de la Recherche Scientifique, F-30842 Grenoble Cedex, France

C. Tannous
Départment de Physique, Ecole Polytechnique, Montréal, Québec H3C 3A7, Canada

P. Breton and A. -M. S. Tremblay
Département de Physique et Centre de Recherche en Physique du Solide, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada

Received 10 December 1984; published in the issue dated 15 April 1985

New results for the magnitude of flicker noise, considered as resistance fluctuations, in random resistor networks are reported. Near the percolation threshold pc, the magnitude of the relative noise is shown to diverge as (p-pc)-κ. The new exponent κ is calculated by various methods: Monte Carlo simulations, effective-medium theory, and position-space renormalization group. Exponents pertaining to higher-order cumulants of the resistance fluctuations are also calculated. The possible implications of our results for ongoing experiments on metal-insulator mixtures and cermets are also discussed.

© 1985 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.54.1718
DOI:
10.1103/PhysRevLett.54.1718
PACS:
72.70.+m, 05.40.+j